CINXE.COM

<!doctype html> <html lang="en" > <head>   <title>John Horton Conway: the world’s most charismatic mathematician | Mathematics | The Guardian</title> <meta name="description" content="<strong>The long read:</strong> John Horton Conway is a cross between Archimedes, Mick Jagger and Salvador Dalí. For many years, he worried that his obsession with playing silly games was ruining his career – until he realised that it could lead to extraordinary discoveries" /> <meta charset="utf-8"> <link rel="canonical" href="https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world" /> <meta name="viewport" content="width=device-width,minimum-scale=1,initial-scale=1"> <meta name="theme-color" content="#052962" /> <link rel="manifest" href="https://assets.guim.co.uk/static/frontend/manifest.json" /> <link rel="apple-touch-icon" href="https://assets.guim.co.uk/static/frontend/icons/homescreen/apple-touch-icon.svg" sizes="any"> <link rel="apple-touch-icon" href="https://assets.guim.co.uk/static/frontend/icons/homescreen/apple-touch-icon-512.png" sizes="512x512"> <link rel="apple-touch-icon" href="https://assets.guim.co.uk/static/frontend/icons/homescreen/apple-touch-icon-360.png" sizes="360x360"> <link rel="apple-touch-icon" href="https://assets.guim.co.uk/static/frontend/icons/homescreen/apple-touch-icon-240.png" sizes="240x240"> <link rel="apple-touch-icon" href="https://assets.guim.co.uk/static/frontend/icons/homescreen/apple-touch-icon-120.png" sizes="120x120"> <link rel="icon" href="https://static.guim.co.uk/images/favicon-32x32.ico"> <link rel="preconnect" href="https://assets.guim.co.uk/"> <link rel="preconnect" href="https://i.guim.co.uk"> <link rel="preconnect" href="https://j.ophan.co.uk"> <link rel="preconnect" href="https://ophan.theguardian.com"> <link rel="preconnect" href="https://sourcepoint.theguardian.com"> <link rel="dns-prefetch" href="https://assets.guim.co.uk/"> <link rel="dns-prefetch" href="https://i.guim.co.uk"> <link rel="dns-prefetch" href="https://j.ophan.co.uk"> <link rel="dns-prefetch" href="https://ophan.theguardian.com"> <link rel="dns-prefetch" href="https://api.nextgen.guardianapps.co.uk"> <link rel="dns-prefetch" href="https://hits-secure.theguardian.com"> <link rel="dns-prefetch" href="https://interactive.guim.co.uk"> <link rel="dns-prefetch" href="https://static.theguardian.com"> <link rel="dns-prefetch" href="https://support.theguardian.com"> <script type="application/ld+json"> [{"@type":"NewsArticle","@context":"https://schema.org","@id":"https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","publisher":{"@type":"Organization","@context":"https://schema.org","@id":"https://www.theguardian.com#publisher","name":"The Guardian","url":"https://www.theguardian.com/","logo":{"@type":"ImageObject","url":"https://uploads.guim.co.uk/2018/01/31/TheGuardian_AMP.png","width":190,"height":60},"sameAs":["https://www.facebook.com/theguardian","https://twitter.com/guardian","https://www.youtube.com/user/TheGuardian"]},"isAccessibleForFree":true,"isPartOf":{"@type":["CreativeWork","Product"],"name":"The Guardian","productID":"theguardian.com:basic"},"image":["https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1200&height=630&quality=85&auto=format&fit=crop&overlay-align=bottom%2Cleft&overlay-width=100p&overlay-base64=L2ltZy9zdGF0aWMvb3ZlcmxheXMvdGctYWdlLTIwMTUucG5n&enable=upscale&s=ff79af19c398eeab1c0e4a5e77251576","https://assets.guim.co.uk/images/eada8aa27c12fe2d5afa3a89d3fbae0d/fallback-logo.png","https://assets.guim.co.uk/images/eada8aa27c12fe2d5afa3a89d3fbae0d/fallback-logo.png","https://assets.guim.co.uk/images/eada8aa27c12fe2d5afa3a89d3fbae0d/fallback-logo.png"],"author":[{"@type":"Person","name":"Siobhan Roberts","sameAs":"https://www.theguardian.com/profile/siobhan-roberts"}],"datePublished":"2015-07-23T05:00:09.000Z","headline":"John Horton Conway: the world’s most charismatic mathematician","dateModified":"2021-09-01T11:00:29.000Z","mainEntityOfPage":"https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"},{"@type":"WebPage","@context":"https://schema.org","@id":"https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","potentialAction":{"@type":"ViewAction","target":"android-app://com.guardian/https/www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"}}] </script>  <link rel="amphtml" href="https://amp.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"> <link rel="preload" href="https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Bold.woff2" as="font" crossorigin> <link rel="preload" href="https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Regular.woff2" as="font" crossorigin> <meta property="og:url" content="http://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"/> <meta property="article:author" content="https://www.theguardian.com/profile/siobhan-roberts"/> <meta property="og:image:width" content="1200"/> <meta property="og:image" content="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1200&height=630&quality=85&auto=format&fit=crop&overlay-align=bottom%2Cleft&overlay-width=100p&overlay-base64=L2ltZy9zdGF0aWMvb3ZlcmxheXMvdGctYWdlLTIwMTUucG5n&enable=upscale&s=ff79af19c398eeab1c0e4a5e77251576"/> <meta property="al:ios:url" content="gnmguardian://science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world?contenttype=Article&source=applinks"/> <meta property="article:publisher" content="https://www.facebook.com/theguardian"/> <meta property="og:title" content="John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts"/> <meta property="fb:app_id" content="180444840287"/> <meta property="article:modified_time" content="2021-09-01T11:00:29.000Z"/> <meta property="og:image:height" content="720"/> <meta property="og:description" content="The long read: John Horton Conway is a cross between Archimedes, Mick Jagger and Salvador Dalí. For many years, he worried that his obsession with playing silly games was ruining his career – until he realised that it could lead to extraordinary discoveries"/> <meta property="og:type" content="article"/> <meta property="al:ios:app_store_id" content="409128287"/> <meta property="article:section" content="Science"/> <meta property="article:published_time" content="2015-07-23T05:00:09.000Z"/> <meta property="article:tag" content="Mathematics,Science,Princeton University,Mathematics,US news,Education"/> <meta property="al:ios:app_name" content="The Guardian"/> <meta property="og:site_name" content="the Guardian"/> <meta name="twitter:dnt" content="on"> <meta name="twitter:app:id:iphone" content="409128287"/> <meta name="twitter:app:name:googleplay" content="The Guardian"/> <meta name="twitter:app:name:ipad" content="The Guardian"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="twitter:app:name:iphone" content="The Guardian"/> <meta name="twitter:app:id:ipad" content="409128287"/> <meta name="twitter:app:id:googleplay" content="com.guardian"/> <meta name="twitter:app:url:googleplay" content="guardian://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"/> <meta name="twitter:app:url:iphone" content="gnmguardian://science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world?contenttype=Article&source=twitter"/> <meta name="twitter:image" content="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1200&height=630&quality=85&auto=format&fit=crop&overlay-align=bottom%2Cleft&overlay-width=100p&overlay-base64=L2ltZy9zdGF0aWMvb3ZlcmxheXMvdGctYWdlLTIwMTUucG5n&s=f0e40c0e72284260949181b75ca1118d"/> <meta name="twitter:site" content="@guardian"/> <meta name="twitter:app:url:ipad" content="gnmguardian://science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world?contenttype=Article&source=twitter"/>  <meta name="robots" content="max-image-preview:large"> <script> window.guardian = {"config":{"isDotcomRendering":true,"isDev":false,"stage":"PROD","frontendAssetsFullURL":"https://assets.guim.co.uk/","page":{"switches":{"externalVideoEmbeds":true,"abSignInGateMainVariant":true,"lightbox":true,"abGpidPrebidAdUnits":true,"prebidAppnexusUkRow":true,"prebidMagnite":true,"commercialMetrics":true,"prebidTrustx":true,"scAdFreeBanner":false,"adaptiveSite":true,"prebidPermutiveAudience":true,"compareVariantDecision":false,"enableSentryReporting":true,"lazyLoadContainers":true,"ampArticleSwitch":true,"remarketing":true,"articleEndSlot":true,"keyEventsCarousel":true,"registerWithPhone":false,"darkModeWeb":true,"targeting":true,"remoteHeader":true,"slotBodyEnd":true,"prebidImproveDigitalSkins":false,"ampPrebidOzone":true,"extendedMostPopularFronts":true,"emailInlineInFooter":true,"showNewPrivacyWordingOnEmailSignupEmbeds":true,"prebidAnalytics":true,"extendedMostPopular":true,"ampContentAbTesting":false,"prebidCriteo":true,"okta":true,"imrWorldwide":true,"acast":true,"twitterUwt":true,"prebidAppnexusInvcode":true,"ampPrebidPubmatic":true,"abUsaExpandableMarketingCard":true,"a9HeaderBidding":true,"prebidAppnexus":true,"abOnwardsContentArticle":false,"enableDiscussionSwitch":true,"prebidXaxis":true,"stickyVideos":true,"interactiveFullHeaderSwitch":true,"discussionAllPageSize":true,"prebidUserSync":true,"audioOnwardJourneySwitch":true,"brazeTaylorReport":false,"callouts":true,"sentinelLogger":true,"geoMostPopular":true,"weAreHiring":false,"relatedContent":true,"thirdPartyEmbedTracking":true,"prebidOzone":true,"ampLiveblogSwitch":true,"ampAmazon":true,"prebidAdYouLike":true,"mostViewedFronts":true,"optOutAdvertising":true,"abSignInGateMainControl":true,"googleSearch":true,"disableFrontContainerShowHide":true,"abOptOutFrequencyCap":true,"brazeSwitch":true,"prebidKargo":true,"consentManagement":true,"personaliseSignInGateAfterCheckout":true,"prebidSonobi":true,"idProfileNavigation":true,"confiantAdVerification":true,"discussionAllowAnonymousRecommendsSwitch":false,"absoluteServerTimes":false,"permutive":true,"comscore":true,"ampPrebidCriteo":true,"newsletterOnwards":false,"youtubeIma":true,"webFonts":true,"liveBlogTopSponsorship":true,"prebidImproveDigital":false,"abAdBlockAsk":false,"ophan":true,"crosswordSvgThumbnails":true,"prebidTriplelift":true,"weather":true,"prebidPubmatic":true,"serverShareCounts":false,"autoRefresh":true,"enhanceTweets":true,"prebidIndexExchange":true,"prebidOpenx":true,"prebidHeaderBidding":true,"idCookieRefresh":true,"discussionPageSize":true,"smartAppBanner":false,"abNewHeaderBiddingEndpoint":true,"historyTags":true,"brazeContentCards":true,"remoteBanner":true,"emailSignupRecaptcha":true,"prebidSmart":true,"shouldLoadGoogletag":true,"inizio":true,"europeBetaFront":true},"abTests":{},"googletagUrl":"//securepubads.g.doubleclick.net/tag/js/gpt.js","stage":"PROD","frontendAssetsFullURL":"https://assets.guim.co.uk/","ampIframeUrl":"https://assets.guim.co.uk/data/vendor/2533d5cb94302889e6a8f1b24b5329e7/amp-iframe.html","tones":"Features","facebookIaAdUnitRoot":"facebook-instant-articles","avatarApiUrl":"https://avatar.theguardian.com","isSplash":false,"isColumn":false,"membershipUrl":"https://membership.theguardian.com","headline":"John Horton Conway: the world’s most charismatic mathematician","isImmersive":false,"author":"Siobhan Roberts","ipsosTag":"science","isProd":true,"series":"The long read","toneIds":"tone/features","membershipAccess":"","allowUserGeneratedContent":false,"commissioningDesks":"","webPublicationDate":1437627609000,"forecastsapiurl":"/weatherapi/forecast","supportUrl":"https://support.theguardian.com","isNumberedList":false,"commercialBundleUrl":"https://assets.guim.co.uk/javascripts/commercial/731721cfc687c081b651/graun.standalone.commercial.js","idOAuthUrl":"https://oauth.theguardian.com","webTitle":"John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts","isPhotoEssay":false,"idWebAppUrl":"https://oauth.theguardian.com","a9PublisherId":"3722","isFront":false,"inBodyInternalLinkCount":6,"googleSearchUrl":"//www.google.co.uk/cse/cse.js","inBodyExternalLinkCount":3,"showRelatedContent":true,"lightboxImages":{"id":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","headline":"John Horton Conway: the world’s most charismatic mathematician","shouldHideAdverts":false,"standfirst":"<p>John Horton Conway is a cross between Archimedes, Mick Jagger and Salvador Dalí. For many years, he worried that his obsession with playing silly games was ruining his career – until he realised that it could lead to extraordinary discoveries</p>","images":[{"caption":"John Horton Conway and his Leech lattice doodle.","credit":"Photograph: Hollandse Hoogte/Eyevine","displayCredit":true,"src":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=700&quality=85&auto=format&fit=max&s=3b521f04df6eb2995b635043aee219b0","srcsets":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1920&quality=85&auto=format&fit=max&s=84adf08c0d1d8cc830922174a331f801 1920w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1225&quality=85&auto=format&fit=max&s=8c26b028a011736e5a3e43a0102bfac6 1225w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1065&quality=85&auto=format&fit=max&s=2df0c25446079800ac165bdd6742ac76 1065w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=965&quality=85&auto=format&fit=max&s=88a8914fd309df16653b16823085f7a9 965w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=725&quality=85&auto=format&fit=max&s=672952203ef1856dc3e2191aad88fbfb 725w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=645&quality=85&auto=format&fit=max&s=dfb919d7dad70602b941c14c7501a887 645w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=465&quality=85&auto=format&fit=max&s=5b31b259fcd0190db0115d0ab4865f35 465w","sizes":"(min-width: 1300px) 1920px, (min-width: 1140px) 1225px, (min-width: 980px) 1065px, (min-width: 740px) 965px, (min-width: 660px) 725px, (min-width: 480px) 645px, 465px","ratio":1.6666666666666667,"role":"Some(showcase)","parentContentId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","id":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"},{"caption":"A cartoon of Conway.","credit":"Photograph: Simon J Fraser","displayCredit":true,"src":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=700&quality=85&auto=format&fit=max&s=a7ee63d93d8ea220a5b861e77c3596ce","srcsets":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=1920&quality=85&auto=format&fit=max&s=15424d00cc3eb542724be99fe8e9f297 1920w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=1225&quality=85&auto=format&fit=max&s=9532826cffec0f0c0cee1260a7103738 1225w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=1065&quality=85&auto=format&fit=max&s=b41b595ae57052361ea50f464ec78ac3 1065w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=965&quality=85&auto=format&fit=max&s=16f09bc06f85cb46ac862502527a68eb 965w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=725&quality=85&auto=format&fit=max&s=3af62ce2be1fa20c16e3b52567f421c9 725w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=645&quality=85&auto=format&fit=max&s=5c5068563b7e1f2d65adb6c0ae4e5a08 645w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=465&quality=85&auto=format&fit=max&s=d00c6269c7fa5e3b1ab679456a661d6e 465w","sizes":"(min-width: 1300px) 1920px, (min-width: 1140px) 1225px, (min-width: 980px) 1065px, (min-width: 740px) 965px, (min-width: 660px) 725px, (min-width: 480px) 645px, 465px","ratio":0.6666666666666666,"role":"Some(supporting)","parentContentId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","id":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"},{"caption":"Conway’s Leech lattice doodle.","credit":"Photograph: John Horton Conway","displayCredit":true,"src":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=700&quality=85&auto=format&fit=max&s=35d73fa1f6488ef347576b87d47862af","srcsets":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=1920&quality=85&auto=format&fit=max&s=02ae4af68b9daeb73b5213d3bada244f 1920w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=1225&quality=85&auto=format&fit=max&s=d9fd1f4c0ddc213cee11bc641f34b413 1225w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=1065&quality=85&auto=format&fit=max&s=cf3ab19cfae2aeee04d8286d9f57b47e 1065w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=965&quality=85&auto=format&fit=max&s=8814a9a9639b50dac2c8a78e2d7b519e 965w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=725&quality=85&auto=format&fit=max&s=8633eddbc92cd74ac76f9dc526fce04b 725w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=645&quality=85&auto=format&fit=max&s=e0037fe81130f8ed0743b097bd6b889d 645w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=465&quality=85&auto=format&fit=max&s=4807c40caf76983da448408b40571a0c 465w","sizes":"(min-width: 1300px) 1920px, (min-width: 1140px) 1225px, (min-width: 980px) 1065px, (min-width: 740px) 965px, (min-width: 660px) 725px, (min-width: 480px) 645px, 465px","ratio":0.6666666666666666,"role":"Some(supporting)","parentContentId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","id":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"},{"caption":"Conway playing Game of Life, which he invented in 1970.","credit":"Photograph: Kelvin Brodie/the Sun","displayCredit":true,"src":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=700&quality=85&auto=format&fit=max&s=a857b5fcf86c0e08f3ea56412fe43ded","srcsets":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=1920&quality=85&auto=format&fit=max&s=308553eb040ba8653dced4a80fa5d4cb 1920w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=1225&quality=85&auto=format&fit=max&s=d80fcd88720b097e6c96f81256d56423 1225w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=1065&quality=85&auto=format&fit=max&s=07dc74898b22d73db774e8fcc454b60d 1065w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=965&quality=85&auto=format&fit=max&s=18562da7902c8ea6d6e2921d3c00242a 965w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=725&quality=85&auto=format&fit=max&s=082453adc291bbe6da2d3523ad110fd7 725w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=645&quality=85&auto=format&fit=max&s=087acb5bfaa402e7fbaaad0b6387564e 645w, https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=465&quality=85&auto=format&fit=max&s=2676ee25eb8f1c2e88926a068f6081b7 465w","sizes":"(min-width: 1300px) 1920px, (min-width: 1140px) 1225px, (min-width: 980px) 1065px, (min-width: 740px) 965px, (min-width: 660px) 725px, (min-width: 480px) 645px, 465px","ratio":1.6666666666666667,"role":"Some(showcase)","parentContentId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","id":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"}]},"googleSearchId":"007466294097402385199:m2ealvuxh1i","shouldHideReaderRevenue":false,"idUrl":"https://profile.theguardian.com","hasSurveyAd":false,"omnitureAmpAccount":"guardiangu-thirdpartyapps","dfpAdUnitRoot":"theguardian.com","host":"https://www.theguardian.com","blogIds":"","sectionName":"Science","hasMultipleVideosInPage":false,"hasShowcaseMainElement":true,"googleRecaptchaSiteKey":"6LdzlmsdAAAAALFH63cBVagSFPuuHXQ9OfpIDdMc","fbAppId":"180444840287","isContent":true,"shortUrlId":"/p/4aq42","dfpAccountId":"59666047","plistaPublicApiKey":"462925f4f131001fd974bebe","wordCount":5760,"hasLiveBlogTopAd":false,"dcrSentryDsn":"https://1937ab71c8804b2b8438178dfdd6468f@sentry.io/1377847","cardStyle":"feature","adUnit":"/59666047/theguardian.com/science/article/ng","discussionApiUrl":"https://discussion.theguardian.com/discussion-api","isSensitive":false,"ophanEmbedJsUrl":"//j.ophan.co.uk/ophan.embed","edition":"INT","brazeApiKey":"7f28c639-8bda-48ff-a3f6-24345abfc07c","blogs":"","discussionApiClientHeader":"nextgen","section":"science","userAttributesApiUrl":"https://members-data-api.theguardian.com/user-attributes","videoDuration":0,"dfpHost":"pubads.g.doubleclick.net","weatherapiurl":"/weatherapi/city","sentryPublicApiKey":"344003a8d11c41d8800fbad8383fdc50","shortUrl":"https://www.theguardian.com/p/4aq42","thumbnail":"https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577441893/48294e0a-ae76-4fb4-91fb-e3996478843a-460x276.jpeg?quality=85&auto=format&fit=max&s=0dae28b70a5dde6ea9207c3e1f492bd2","pillar":"News","pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","references":[{"rich-link":"https://www.theguardian.com/science/2016/jun/07/sign-up-for-lab-notes-the-guardians-weekly-science-update"},{"rich-link":"https://www.theguardian.com/info/ng-interactive/2017/may/05/sign-up-for-the-long-read-email"}],"beaconUrl":"//phar.gu-web.net","commentable":true,"discussionD2Uid":"zHoBy6HNKsk","ophanJsUrl":"//j.ophan.co.uk/ophan.ng","contributorBio":"","keywordIds":"science/mathematics,science/science,education/princeton-university,education/mathematics,us-news/us-news,education/education","contentType":"Article","isDev":false,"isHosted":false,"isAdFree":false,"stripePublicToken":"pk_live_2O6zPMHXNs2AGea4bAmq5R7Z","omnitureAccount":"guardiangu-network","locationapiurl":"/weatherapi/locations?query=","authorIds":"profile/siobhan-roberts","isPaidContent":false,"hasYouTubeAtom":false,"externalEmbedHost":"https://embed.theguardian.com","thirdPartyAppsAccount":"guardiangu-thirdpartyapps","ajaxUrl":"https://api.nextgen.guardianapps.co.uk","byline":"Siobhan Roberts","keywords":"Mathematics,Science,Princeton University,Mathematics,US news,Education","contentId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","nonKeywordTagIds":"news/series/the-long-read,tone/features,type/article,profile/siobhan-roberts,publication/theguardian,theguardian/mainsection,theguardian/mainsection/the-long-read","mobileAppsAdUnitRoot":"beta-guardian-app","hasPageSkin":false,"requiresMembershipAccess":false,"seriesTags":"The long read","revisionNumber":"DEV","seriesId":"news/series/the-long-read","optimizeEpicUrl":"https://support.theguardian.com/epic/control/index.html","assetsPath":"https://assets.guim.co.uk/","mmaUrl":"https://manage.theguardian.com","isLive":false,"richLink":"/science/2016/jun/07/sign-up-for-lab-notes-the-guardians-weekly-science-update","campaigns":[],"isLiveBlog":false,"pageCode":"2341658","avatarImagesUrl":"https://avatar.guim.co.uk","publication":"The Guardian","sentryHost":"app.getsentry.com/35463","buildNumber":"DEV","sharedAdTargeting":{"se":["the-long-read"],"ct":"article","su":["0"],"edition":"int","tn":["features"],"p":"ng","k":["mathematics","princeton-university","science","education","us-news"],"sh":"https://www.theguardian.com/p/4aq42","co":["siobhan-roberts"],"url":"/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"},"onwardWebSocket":"ws://api.nextgen.guardianapps.co.uk/recently-published","productionOffice":"Uk","shouldHideAdverts":false,"idApiUrl":"https://idapi.theguardian.com","pbIndexSites":[{"bp":"D","id":208226},{"bp":"M","id":213499},{"bp":"T","id":215434}],"googletagJsUrl":"//securepubads.g.doubleclick.net/tag/js/gpt.js","calloutsUrl":"https://callouts.guardianapis.com/formstack-campaign/submit","isPreview":false,"dcrCouldRender":true},"libs":{"googletag":"//securepubads.g.doubleclick.net/tag/js/gpt.js"},"switches":{"externalVideoEmbeds":true,"abSignInGateMainVariant":true,"lightbox":true,"abGpidPrebidAdUnits":true,"prebidAppnexusUkRow":true,"prebidMagnite":true,"commercialMetrics":true,"prebidTrustx":true,"scAdFreeBanner":false,"adaptiveSite":true,"prebidPermutiveAudience":true,"compareVariantDecision":false,"enableSentryReporting":true,"lazyLoadContainers":true,"ampArticleSwitch":true,"remarketing":true,"articleEndSlot":true,"keyEventsCarousel":true,"registerWithPhone":false,"darkModeWeb":true,"targeting":true,"remoteHeader":true,"slotBodyEnd":true,"prebidImproveDigitalSkins":false,"ampPrebidOzone":true,"extendedMostPopularFronts":true,"emailInlineInFooter":true,"showNewPrivacyWordingOnEmailSignupEmbeds":true,"prebidAnalytics":true,"extendedMostPopular":true,"ampContentAbTesting":false,"prebidCriteo":true,"okta":true,"imrWorldwide":true,"acast":true,"twitterUwt":true,"prebidAppnexusInvcode":true,"ampPrebidPubmatic":true,"abUsaExpandableMarketingCard":true,"a9HeaderBidding":true,"prebidAppnexus":true,"abOnwardsContentArticle":false,"enableDiscussionSwitch":true,"prebidXaxis":true,"stickyVideos":true,"interactiveFullHeaderSwitch":true,"discussionAllPageSize":true,"prebidUserSync":true,"audioOnwardJourneySwitch":true,"brazeTaylorReport":false,"callouts":true,"sentinelLogger":true,"geoMostPopular":true,"weAreHiring":false,"relatedContent":true,"thirdPartyEmbedTracking":true,"prebidOzone":true,"ampLiveblogSwitch":true,"ampAmazon":true,"prebidAdYouLike":true,"mostViewedFronts":true,"optOutAdvertising":true,"abSignInGateMainControl":true,"googleSearch":true,"disableFrontContainerShowHide":true,"abOptOutFrequencyCap":true,"brazeSwitch":true,"prebidKargo":true,"consentManagement":true,"personaliseSignInGateAfterCheckout":true,"prebidSonobi":true,"idProfileNavigation":true,"confiantAdVerification":true,"discussionAllowAnonymousRecommendsSwitch":false,"absoluteServerTimes":false,"permutive":true,"comscore":true,"ampPrebidCriteo":true,"newsletterOnwards":false,"youtubeIma":true,"webFonts":true,"liveBlogTopSponsorship":true,"prebidImproveDigital":false,"abAdBlockAsk":false,"ophan":true,"crosswordSvgThumbnails":true,"prebidTriplelift":true,"weather":true,"prebidPubmatic":true,"serverShareCounts":false,"autoRefresh":true,"enhanceTweets":true,"prebidIndexExchange":true,"prebidOpenx":true,"prebidHeaderBidding":true,"idCookieRefresh":true,"discussionPageSize":true,"smartAppBanner":false,"abNewHeaderBiddingEndpoint":true,"historyTags":true,"brazeContentCards":true,"remoteBanner":true,"emailSignupRecaptcha":true,"prebidSmart":true,"shouldLoadGoogletag":true,"inizio":true,"europeBetaFront":true},"tests":{},"ophan":{"pageViewId":"","browserId":""}},"polyfilled":false,"adBlockers":{"onDetect":[]},"modules":{"sentry":{}}}; window.guardian.queue = []; // Queue for functions to be fired by polyfill.io callback </script> <script type="module"> window.guardian.mustardCut = true; </script> <script nomodule> // Browser fails mustard check window.guardian.mustardCut = false; </script> <script> // Noop monkey patch perf.mark and perf.measure if not supported if(window.performance !== undefined && window.performance.mark === undefined) { window.performance.mark = function(){}; window.performance.measure = function(){}; } </script> <script> // record the number of times the browser goes offline during a pageview window.guardian.offlineCount = 0; window.addEventListener('offline', function incrementOfflineCount () { window.guardian.offlineCount++ }); </script> <script> // this is a global that's called at the bottom of the pf.io response, // once the polyfills have run. This may be useful for debugging. // mainly to support browsers that don't support async=false or defer function guardianPolyfilled() { window.guardian.polyfilled = true; if (window.guardian.mustardCut === false) { window.guardian.queue.forEach(function(callback) { callback() }) } } // We've got contracts to abide by with the Ophan tracker // Setting pageViewId here ensures we're not getting race-conditions at all window.guardian.config.ophan = { // This is duplicated from // https://github.com/guardian/ophan/blob/master/tracker-js/assets/coffee/ophan/transmit.coffee // Please do not change this without talking to the Ophan project first. pageViewId: new Date().getTime().toString(36) + 'xxxxxxxxxxxx'.replace(/x/g, function() { return Math.floor(Math.random() * 36).toString(36); }), }; </script> <script> // Set the browserId from the bwid cookie on the ophan object created above // This will need to be replaced later with an async request to an endpoint (function (window, document) { function getCookieValue(name) { var nameEq = name + "=", cookies = document.cookie.split(';'), value = null; cookies.forEach(function (cookie) { while (cookie.charAt(0) === ' ') { cookie = cookie.substring(1, cookie.length); } if (cookie.indexOf(nameEq) === 0) { value = cookie.substring(nameEq.length, cookie.length); } }); return value; } window.guardian.config.ophan.browserId = getCookieValue("bwid"); })(window, document); </script> <script id="config" type="application/json"> {"renderingTarget":"Web","darkModeAvailable":false,"assetOrigin":"https://assets.guim.co.uk/","editionId":"INT"} </script> <script> window.curlConfig = { baseUrl: 'https://assets.guim.co.uk/assets', apiName: 'require' }; window.curl = window.curlConfig; </script> <noscript> <img src="https://sb.scorecardresearch.com/p?c1=2&c2=6035250&cv=2.0&cj=1&cs_ucfr=0&comscorekw=Mathematics%2CScience%2CPrinceton+University%2CMathematics%2CUS+news%2CEducation" /> </noscript>  <script defer src="https://assets.guim.co.uk/polyfill.io/v3/polyfill.min.js?rum=0&features=es6%2Ces7%2Ces2017%2Ces2018%2Ces2019%2Cdefault-3.6%2CHTMLPictureElement%2CIntersectionObserver%2CIntersectionObserverEntry%2CURLSearchParams%2Cfetch%2CNodeList.prototype.forEach%2Cnavigator.sendBeacon%2Cperformance.now%2CPromise.allSettled&flags=gated&callback=guardianPolyfilled&unknown=polyfill&cacheClear=1"></script> <script type="module" src="https://assets.guim.co.uk/assets/frameworks.client.web.291ea3346dc06fa0cd3f.js"></script> <script type="module" src="https://assets.guim.co.uk/assets/index.client.web.5ebee4147dc02b67b6a3.js"></script>  <script defer src="https://assets.guim.co.uk/javascripts/commercial/731721cfc687c081b651/graun.standalone.commercial.js"></script> <script defer nomodule src="https://assets.guim.co.uk/assets/frameworks.client.web.legacy.291ea3346dc06fa0cd3f.js"></script> <script defer nomodule src="https://assets.guim.co.uk/assets/index.client.web.legacy.6cb84a77b5172afc3e98.js"></script> <style class="webfont">@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Light.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Light.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Light.ttf) format("truetype");font-weight:300;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Light.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Light.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Light.ttf) format("truetype");font-weight:300;font-style:normal;font-display:swap}@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-LightItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-LightItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-LightItalic.ttf) format("truetype");font-weight:300;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-LightItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-LightItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-LightItalic.ttf) format("truetype");font-weight:300;font-style:italic;font-display:swap}@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Medium.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Medium.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Medium.ttf) format("truetype");font-weight:500;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Medium.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Medium.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Medium.ttf) format("truetype");font-weight:500;font-style:normal;font-display:swap}@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-MediumItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-MediumItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-MediumItalic.ttf) format("truetype");font-weight:500;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-MediumItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-MediumItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-MediumItalic.ttf) format("truetype");font-weight:500;font-style:italic;font-display:swap}@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:"GH Guardian Headline";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/noalts-not-hinted/GHGuardianHeadline-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-headline/latin1-not-hinted/GHGuardianHeadline-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:GuardianTextEgyptian;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Regular.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Regular.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Regular.ttf) format("truetype");font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Text Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Regular.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Regular.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Regular.ttf) format("truetype");font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:GuardianTextEgyptian;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-RegularItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-RegularItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-RegularItalic.ttf) format("truetype");font-weight:400;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Text Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-RegularItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-RegularItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-RegularItalic.ttf) format("truetype");font-weight:400;font-style:italic;font-display:swap}@font-face{font-family:GuardianTextEgyptian;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Text Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:GuardianTextEgyptian;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Text Egyptian Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/noalts-not-hinted/GuardianTextEgyptian-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textegyptian/latin1-not-hinted/GuardianTextEgyptian-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:GuardianTextSans;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Regular.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Regular.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Regular.ttf) format("truetype");font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Text Sans Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Regular.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Regular.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Regular.ttf) format("truetype");font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:GuardianTextSans;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-RegularItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-RegularItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-RegularItalic.ttf) format("truetype");font-weight:400;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Text Sans Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-RegularItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-RegularItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-RegularItalic.ttf) format("truetype");font-weight:400;font-style:italic;font-display:swap}@font-face{font-family:GuardianTextSans;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:"Guardian Text Sans Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-Bold.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Bold.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-Bold.ttf) format("truetype");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:GuardianTextSans;src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:"Guardian Text Sans Web";src:url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/noalts-not-hinted/GuardianTextSans-BoldItalic.woff2) format("woff2"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-BoldItalic.woff) format("woff"),url(https://assets.guim.co.uk/static/frontend/fonts/guardian-textsans/latin1-not-hinted/GuardianTextSans-BoldItalic.ttf) format("truetype");font-weight:700;font-style:italic;font-display:swap}</style> <style> html, body, div, span, applet, object, iframe, h1, h2, h3, h4, h5, h6, p, blockquote, pre, a, abbr, acronym, address, big, cite, code, del, dfn, em, img, ins, kbd, q, s, samp, small, strike, strong, sub, sup, tt, var, b, u, i, center, dl, dt, dd, menu, ol, ul, li, fieldset, form, label, legend, table, caption, tbody, tfoot, thead, tr, th, td, article, aside, canvas, details, embed, figure, figcaption, footer, header, hgroup, main, menu, nav, output, ruby, section, summary, time, mark, audio, video { margin: 0; padding: 0; border: 0; font-size: 100%; font: inherit; vertical-align: baseline; } /* HTML5 display-role reset for older browsers */ article, aside, details, figcaption, figure, footer, header, hgroup, main, menu, nav, section { display: block; } /* HTML5 hidden-attribute fix for newer browsers */ *[hidden] { display: none; } body { line-height: 1; } menu, ol, ul { list-style: none; } blockquote, q { quotes: none; } blockquote:before, blockquote:after, q:before, q:after { content: ''; content: none; } table { border-collapse: collapse; border-spacing: 0; } *, *:before, *:after { box-sizing: border-box; } html { -moz-osx-font-smoothing: grayscale; -webkit-font-smoothing: antialiased; /* always show the vertical scroll bar to stop the page * jumping about when navigating between pages where * one has content shorter than the viewport */ overflow-y: scroll; } html, body { text-rendering: optimizeLegibility; font-feature-settings: 'kern'; font-kerning: normal; /* Safari 7+, Firefox 24+, Chrome 33(?)+, Opera 21 */ font-variant-ligatures: common-ligatures; } body { background-color: #FFFFFF; color: #121212; } em { font-style: italic; } </style> <style data-emotion="dcr-global 0"></style><style data-emotion="dcr-global sqwkeu">:root{--expandingWrapper--background:#F6F6F6;--expandingWrapper--border:#121212;--expandingWrapper--collapseBackground:#FFFFFF;--expandingWrapper--collapseBackgroundHover:#E5E5E5;--expandingWrapper--collapseText:#121212;--expandingWrapper--collapseTextHover:#121212;--expandingWrapper--text:#121212;--expandingWrapper--horizontalRules:#DCDCDC;--expandingWrapper--expandBackground:#121212;--expandingWrapper--expandBackgroundHover:#454545;--expandingWrapper--expandText:#FFFFFF;--tabs--background:#F6F6F6;--tabs--text:#121212;--tabs--border:#999999;--tabs--inactiveBackground:#DCDCDC;--accordion-background:#F6F6F6;--accordion-title:#121212;--accordion-title-row-background:#FFFFFF;--accordion-title-row-border-top:#DCDCDC;--accordion-title-row-fill:#707070;--ad-background:#F6F6F6;--ad-background-article-inner:#F6F6F6;--ad-border:#DCDCDC;--ad-labels-text:#707070;--ad-support-banner-background:#EDEDED;--ad-support-banner-button-background:#052962;--ad-support-banner-button-text:#FFFFFF;--ad-support-banner-text:#052962;--affiliate-disclaimer-background:#F6F6F6;--affiliate-disclaimer-background-hover:#EDEDED;--age-warning-background:#FFE500;--age-warning-text:#121212;--age-warning-wrapper-background:transparent;--apps-epic-background:#F6F6F6;--apps-epic-border:#FFE500;--apps-epic-text:#121212;--apps-footer-background:#F6F6F6;--apps-footer-links-text:#121212;--apps-footer-links-text-hover:#1A1A1A;--article-background:#FFFFFF;--article-border:#DCDCDC;--article-inner-background:transparent;--article-link-border:#DCDCDC;--article-link-border-hover:#C70000;--article-link-text:#C70000;--article-link-text-hover:#C70000;--article-meta-lines:#DCDCDC;--article-section-background:#FFFFFF;--article-section-title:#000000;--article-text:#121212;--audio-atom-background:#F6F6F6;--audio-atom-border:#DCDCDC;--audio-atom-icons:#C70000;--audio-atom-kicker:#C70000;--audio-atom-progress-bar:#999999;--avatar-background:#EDEDED;--avatar-background-colour:#FF5943;--block-quote-fill:#8B0000;--block-quote-link:#C70000;--block-quote-text:#121212;--branding-border:#DCDCDC;--branding-label-text:#333333;--branding-link-text:#C70000;--bullet-fill:#707070;--byline:#C70000;--byline-anchor:#C70000;--byline-background:#FFE500;--byline-hover:#AB0613;--byline-underline:inherit;--callout-highlight-background:#FFE500;--callout-highlight-text:#121212;--callout-prompt:#0077B6;--callout-submit-background:#052962;--callout-submit-background-hover:#234B8A;--callout-submit-text:#FFFFFF;--caption-link:#C70000;--caption-overlay-text:#FFFFFF;--caption-photo-essay-main-media-text:#707070;--caption-text:#707070;--card-background:transparent;--card-background-hover:rgba(18, 18, 18, 0.1);--card-border-supporting:#DCDCDC;--card-border-top:#BABABA;--card-footer-text:#707070;--card-headline:#121212;--card-kicker-text:#C70000;--card-sublinks-background:#F6F6F6;--card-trail-text:#545454;--carousel-active-dot:#C70000;--carousel-active-dot-hover:#C70000;--carousel-arrow:#FFFFFF;--carousel-arrow-background:#000000;--carousel-arrow-background-disabled:#707070;--carousel-arrow-background-hover:#FFE500;--carousel-border:#DCDCDC;--carousel-chevron:#121212;--carousel-chevron-border:#BABABA;--carousel-chevron-border-disabled:rgba(186, 186, 186, 0.32);--carousel-chevron-disabled:rgba(18, 18, 18, 0.32);--carousel-chevron-hover:rgba(186, 186, 186, 0.2);--carousel-dot:#EDEDED;--carousel-dot-hover:#DCDCDC;--carousel-text:#121212;--carousel-title-highlight:#C70000;--click-to-view-background:#F6F6F6;--click-to-view-border:#DCDCDC;--click-to-view-button:#052962;--click-to-view-button-hover:#234B8A;--click-to-view-button-text:#FFFFFF;--code-block-background:#f5f2f0;--code-block-text-shadow:#FFFFFF;--comment-count-fill:#C70000;--comment-count-mobile-fill:#C70000;--comment-form-header-background:#F6F6F6;--comment-form-input-background:#FFFFFF;--cricket-scoreboard-border-top:#005689;--cricket-scoreboard-divider:#DCDCDC;--cricket-scoreboard-link-text:#005689;--dateline:#999999;--dateline-mobile:#707070;--design-tag-background:#AB0613;--design-tag-text:#FFFFFF;--discussion-accent-text:#C70000;--discussion-background:#EDEDED;--discussion-border:#DCDCDC;--discussion-button-background-hover:#C70000;--discussion-button-text:#FFFFFF;--discussion-comment-underline:#DCDCDC;--discussion-link:#0077B6;--discussion-loading-background:#EDEDED;--discussion-loading-shimmer:#DCDCDC;--discussion-pagination-background:#FFFFFF;--discussion-pagination-border:#DCDCDC;--discussion-pagination-border-hover:#999999;--discussion-pagination-text:#707070;--discussion-pick-label-text:#121212;--discussion-pre-mod:#0077B6;--discussion-preview-background:#EDEDED;--discussion-primary-button-background:#AB0613;--discussion-report-background:#FFFFFF;--discussion-report-border:#545454;--discussion-report-button:#052962;--discussion-report-error-text:#C70000;--discussion-report-label-text:#121212;--discussion-report-success-text:#22874D;--discussion-section-background:#FFFFFF;--discussion-selected-background:#F6F6F6;--discussion-staff-label-text:#052962;--discussion-subdued:#707070;--discussion-text:#121212;--discussion-top-pick-background:#EDEDED;--discussion-top-pick-link:#0077B6;--drop-cap:#8B0000;--editorial-button-background:#AB0613;--editorial-button-background-hover:#C70000;--editorial-button-border-hover:#C70000;--editorial-button-text:#C70000;--email-signup-button-background:#000000;--email-signup-button-hover:#333333;--email-signup-button-text:#FFFFFF;--expandable-atom-background:#EDEDED;--expandable-atom-border:#DCDCDC;--expandable-atom-button:#000000;--expandable-atom-button-fill:#FFFFFF;--expandable-atom-text-hover:#C70000;--expandable-marketing-card-background:#052962;--expandable-marketing-card-button-background:#FFFFFF;--expandable-marketing-card-fill-background:#FFFFFF;--expandable-marketing-card-svg-background:#FFFFFF;--expandable-marketing-card-svg-fill:#000000;--explainer-atom-accent:#121212;--explainer-atom-background:#F6F6F6;--feature-card-background:#EDEDED;--feature-card-footer-text:#DCDCDC;--feature-card-headline:#F6F6F6;--feature-card-kicker-text:#FFBAC8;--feature-card-trail-text:#DCDCDC;--filter-key-events-toggle-border-top:#DCDCDC;--follow-icon-background:#FFFFFF;--follow-icon-fill:#C70000;--follow-text:#121212;--front-container-background:#FFFFFF;--front-page-background:#FFFFFF;--heading-line:#8B0000;--headline-background:transparent;--headline-blog-background:#FFFFFF;--headline-border:#DCDCDC;--headline-byline:inherit;--headline-colour:#8B0000;--headline-match-colour:#C70000;--highlights-card-headline:#121212;--highlights-card-kicker-text:#C70000;--highlights-container-background:#F6F6F6;--highlights-container-border:#999999;--highlights-container-end-fade:transparent;--highlights-container-mid-fade:rgba(250, 250, 250, 0.6);--highlights-container-start-fade:#F6F6F6;--image-title-background:#C70000;--interactive-atom-background:transparent;--interactive-block-background:#FFFFFF;--interactive-block-background-datawrapper:#FFFFFF;--interactive-contents-hover:#EDEDED;--key-event-background:#F6F6F6;--key-event-background-desktop:#EDEDED;--key-event-border:#707070;--key-event-bullet:#707070;--key-event-bullet-hover:#000000;--key-event-button:#121212;--key-event-button-fill:#FFFFFF;--key-event-button-hover:#FFD900;--key-event-text:#AB0613;--key-event-title:#121212;--kicker-background-live:#C70000;--kicker-pulsing-dot-live:rgba(246, 246, 246, 0.75);--kicker-text-live:#F6F6F6;--last-updated-text:#000000;--latest-links-dotted-line:#999999;--lightbox-divider:#C70000;--link-kicker-text:#C70000;--live-block-border-bottom:#DCDCDC;--live-block-border-top:#C70000;--live-block-container-background:#FFFFFF;--masthead-accreditation-text:#FFE500;--masthead-nav-background:#052962;--masthead-nav-border:#506991;--masthead-nav-lines:#506991;--masthead-nav-link-text:#FFFFFF;--masthead-nav-link-text-hover:#FFE500;--masthead-top-bar-background:#041F4A;--masthead-top-bar-link-text:#FFFFFF;--masthead-top-bar-text:#FFFFFF;--masthead-top-bar-vertical-divider:#506991;--masthead-veggie-burger-background:#FFE500;--masthead-veggie-burger-background-hover:#FFD900;--masthead-veggie-burger-icon:#052962;--match-nav-background:#FFE500;--match-nav-text:#121212;--match-stats-background:#d9edf6;--match-tab-border:#DCDCDC;--match-tab-border-active:#005689;--mini-profiles-text-subdued:#707070;--most-viewed-description:#707070;--most-viewed-footer-hover:#F6F6F6;--most-viewed-headline:#121212;--most-viewed-tab-border:#AB0613;--nav-reader-revenue-link-text:#FFE500;--nav-search-bar-background:rgba(255, 255, 255, 0.1);--nav-search-bar-icon:#FFFFFF;--nav-search-bar-text:#FFFFFF;--numbered-list-heading:#121212;--numbered-list-links:#C70000;--numbered-list-number:#707070;--numbered-list-title:#C70000;--pagination-text:#C70000;--pinned-post-background:#FFFFFF;--pinned-post-border:#AB0613;--podcast-meta-button-background:#333333;--podcast-meta-button-background-hover:#1A1A1A;--podcast-meta-button-text:#DCDCDC;--podcast-meta-title:#F6F6F6;--privacy-text-regular:#121212;--privacy-text-supporting:#000000;--privacy-text-supporting-subdued:#707070;--pullquote-background:#FFFFFF;--pullquote-border:#DCDCDC;--pullquote-icon:#8B0000;--pullquote-text:#8B0000;--quiz-atom-answers-background:#F6F6F6;--quiz-atom-answers-hover:#DCDCDC;--quiz-atom-check-mark:#000000;--quiz-atom-incorrect-answer-background:#C70000;--quote-icon-fill:#C70000;--recaptcha-border:#121212;--recaptcha-button:#000000;--recaptcha-button-hover:#333333;--recaptcha-button-text:#FFFFFF;--recommendation-count:#F6F6F6;--recommendation-count-arrow:#707070;--recommendation-count-arrow-selected:#FFFFFF;--recommendation-count-selected:#052962;--rich-link-background:#F6F6F6;--rich-link-background-hover:#EDEDED;--rich-link-border:#C70000;--rich-link-branding-text:#707070;--rich-link-fill:#C70000;--rich-link-header:#000000;--rich-link-text:#C70000;--section-background:transparent;--section-background-left:transparent;--section-border:#DCDCDC;--section-border-primary:#333333;--section-border-secondary:#BABABA;--section-date:#C70000;--section-description:#707070;--section-title-background:transparent;--section-toggle-button:#707070;--section-toggle-button-hover:#121212;--series-title-background:transparent;--series-title-match-text:#C70000;--series-title-text:#C70000;--share-button:#C70000;--share-button-border:#DCDCDC;--share-button-copied:#121212;--share-button-hover:#FFFFFF;--share-button-liveblog-mobile-meta:#8B0000;--share-button-xsmall-border:#DCDCDC;--sign-in-link:#AB0613;--sign-in-link-underline:#DCDCDC;--slideshow-caption:#FFFFFF;--slideshow-pagination-dot:rgba(18, 18, 18, 0.2);--slideshow-pagination-dot-active:#121212;--staff-contributor-badge:#052962;--staff-contributor-badge-text:#FFFFFF;--staff-pick-badge:#121212;--staff-pick-badge-text:#FFFFFF;--standfirst-background:#FFFFFF;--standfirst-border:#DCDCDC;--standfirst-bullet:#DCDCDC;--standfirst-link-border:#DCDCDC;--standfirst-link-text:#C70000;--standfirst-text:#000000;--star-rating-background:#FFE500;--star-rating-fill:#121212;--straight-lines:#DCDCDC;--stuck-background:#FFFFFF;--sub-meta-background:#FFFFFF;--sub-meta-label-text:#707070;--sub-meta-text:#C70000;--sub-meta-text-hover:#FFFFFF;--sub-nav-border:#C70000;--sub-nav-link-footer:#121212;--sub-nav-link-header:#121212;--sub-nav-link-hover:#C70000;--sub-nav-more:#999999;--subheading-text:#8B0000;--summary-event-bullet:#C70000;--summary-event-bullet-hover:#8B0000;--syndication-button-border:#DCDCDC;--syndication-button-hover:#DCDCDC;--syndication-button-text:#707070;--table-of-contents:#121212;--table-of-contents-border:#DCDCDC;--tabs-input:#FFFFFF;--tag-page-chevron:#000000;--textblock-text:inherit;--timeline-atom-bullet:#121212;--timeline-atom-highlight-text:#000000;--timeline-atom-highlight-text-background:#FFE500;--timeline-bullet:#8B0000;--timeline-event-border:#DCDCDC;--treat-background:#000000;--treat-text:#F6F6F6;--trending-topics-background:#FFFFFF;--trending-topics-separator:#DCDCDC;--trending-topics-text:#333333;--weather-icon:#F6F6F6;--witness-title-author:#C70000;--witness-title-icon:#C70000;--witness-title-text:#C70000;--youtube-overlay-kicker:#FF5943;-webkit-print-color-scheme:light;color-scheme:light;}:root body{color:#121212;}*:focus{outline:0;}html:not(.src-focus-disabled) *:focus{box-shadow:0 0 0 3px #0077B6;}::selection{background:#FFE500;color:#121212;}.ad-slot[data-label-show='true']::before{content:attr(ad-label-text);display:block;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:24px;max-height:24px;background-color:var(--ad-background);padding-top:3px;border-top:1px solid var(--ad-border);color:var(--ad-labels-text);text-align:center;box-sizing:border-box;}.ad-slot__adtest-cookie-clear-link{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;text-align:left;position:absolute;left:268px;top:1px;z-index:10;padding:0;border:0;}.ad-slot{text-align:center;}.ad-slot .ad-slot__content{margin-left:auto;margin-right:auto;}@media print{.ad-slot{display:none!important;}}.ad-slot.ad-slot--collapse{display:none;}.ad-slot.ad-slot--fluid{min-height:250px;padding:0;margin:0;overflow:visible;width:100%;}.ad-slot-container{max-width:100vw;position:relative;}</style><style data-emotion="dcr-global 16yb6of">html.lightbox-open #gu-lightbox{position:fixed;z-index:34;}html.lightbox-open body{background-color:#1A1A1A;}</style><style data-emotion="dcr-global 1uvnolp">.bz-custom-container~#bannerandheader .top-banner-ad-container{display:none;}</style><style data-emotion="dcr-global 19rs85u">@media (max-width: 979.9px){.nav-is-open{overflow:hidden;height:100vh;}}</style><style data-emotion="dcr-global animation-yk1vcf">@-webkit-keyframes animation-yk1vcf{0%{-webkit-background-position:-1500px 0;background-position:-1500px 0;}100%{-webkit-background-position:1500px 0;background-position:1500px 0;}}@keyframes animation-yk1vcf{0%{-webkit-background-position:-1500px 0;background-position:-1500px 0;}100%{-webkit-background-position:1500px 0;background-position:1500px 0;}}</style><style data-emotion="dcr 1gpubb 1e4oyvk os2q47 h4unms 1v07sbc ybr5tf n4pnam 9ww4qd 8mhfnx tviv3x pnu31o 1c9urh0 43tvi7 1jicgf3 1xdhyk6 1s8spa1 1u9kji9 iim5od mqepgd vdr14u 5k6jfi kohrs2 145list 1vetsv0 1cvta4k vxblrw 3ny4gi 1jzii9a 1p6sy7j 1kbi9ft 1crstso 1lusb1s 64xqd0 i0vtpq 1apgfiu zramh4 1p0hins 1acea34 1p1neil 1d6g26q 1grikph 1iufw7r ks441s 7612kl 1kcody2 1hrapdy 1xv1515 b3mn8w 1nvgr5i li5n90 1ef3v4m 14vdg2 1srap2j 10y96fo 6sl420 lpsfc3 o6rk0u 11vt4tq 9ra8aa 1julzi7 4hq641 1tnoaxa p0c3jt v7ibvm 1j2dgzz 10b2o1s wp8bgr 16q8bto x5fwww 1yytfii 6zq80y yq9plo 1utnfys 90inr0 1jjnk9d 6v110l qcy5wo radnun 1gsboxi 1q09wwq e1bf28 1rg7stg 3ae42h 1mtufo3 a1su5g 1rinrec iwod0p nnfu1a e3rvah mu6xev 12t3ay9 5wkng0 15o3dy0 1ikn05z wqti5a 1fw0voq 1fnjjtg 1j5hrwi hlfdy3 142siv7 1t8m8f2 evn1e9 v822l1 gup2gr zy1nbx 1xgwz8b 1ie0kc7 1inf02i 1qvd3m6 13fd1ms 4tmywn 194i6pr 1fujct4 10355cg 4pzc03 1v9xu6e u0pbjs 1v9e6r1 upmzd8 14emo0l cohhs3 notra3 13832xi u0152o 1mt0mpc ich95x 194w08h bjqdol 1v9sla6 5oiine 1kpcv08 1cfpnlw 1pexjb9 1ybxn6r u0h1qy 9dgpdq 16lnb0w bao4ku 1csot3r 14baf59 fu29fd 1lhv23l 1upb05m 1iz7gbk 1a4fred 1bwys2b 1q6n3e0 1eu361v 15rw6c2 1your1i 1kyw41h 1q5os9 1m887w9 1lhuo3r ut4tvs 1h5b6rb 1dgt1gs eurq8n fkf7vq z9ge1j 5h0uf4 1pvqcrw a2pvoh 1sv232j 1eyan6r scql1j zzndwp w9py1s 65xb9q fckw05 1slmqmw 1jl528t 1yfsxuc ncdwh2 1gwziyt nu129i zhx6xs 14rjinq 10el5c8 jwg3xc 1hko8ef 1e3xwa3 7caenu 1jakjiw 1ykr3rf 17n294h ivr0sq 1ntgn2k 1vf50t ri3hap p0nyl2 u8qikl u6x71m yg4zrc k1vhee 8ro32r aep3nc xodiwl 1hfm9sp q3hb80 1t1ldv1 f68shw 1giivcq 1vig65l ktu60b 45o43m 1gx3men 1atljbz dah9rt fossqd ddf1wi 6m88po 5mqa0r 1pt7toy j5zpwt 1qjcfie 1q1v1nj a4rp9m 1gt8egs ybq1b6 lgyw9b bnuca0 1hmrwdw 1ris6nf 1xyi04h 1wf840d u54heg 1ms2xl4 4coeh 1v06yj3 1xnlu54 1bljy3y 6ottnt 18yycfp 13lm9u3 1slcfay 1wna1tt bqcudp">.dcr-1gpubb{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:40px;top:-40px;line-height:30px;overflow:hidden;padding:0;position:absolute;background:#FFFFFF;display:block;text-align:center;margin:0;-webkit-text-decoration:none;text-decoration:none;color:#000000;}.dcr-1gpubb:focus,.dcr-1gpubb:active{border:5px solid #0077B6;position:static;}.dcr-1gpubb:visited,.dcr-1gpubb:active{color:#000000;}.dcr-1e4oyvk{width:100%;height:100%;background-color:#1A1A1A;}.dcr-1e4oyvk.hide-info aside{display:none;}@media (max-width: 739.9px){.dcr-1e4oyvk.hide-info nav{visibility:hidden;}}.dcr-1e4oyvk button.active{background-color:#707070;}.dcr-1e4oyvk button.reveal{visibility:visible;}.dcr-os2q47{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;height:100%;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}@media (max-width: 739.9px){.dcr-os2q47{-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}}.dcr-h4unms{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;color:white;background-color:#121212;}@media (max-width: 739.9px){.dcr-h4unms{-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;position:absolute;z-index:1;width:100%;}}@media (min-width: 740px){.dcr-h4unms{padding-top:4px;padding-left:16px;padding-right:16px;height:100vh;}}@media (max-width: 739.9px){.dcr-h4unms{border-bottom:1px solid #333333;}}@media (min-width: 740px){.dcr-h4unms{border-left:1px solid #333333;}}.dcr-1v07sbc{margin-top:8px;margin-bottom:8px;border-radius:50%;height:44px;width:44px;border:none;cursor:pointer;-webkit-transition:background-color 0.2s;transition:background-color 0.2s;background-color:#333333;}.dcr-1v07sbc svg{fill:#FFFFFF;margin-top:3px;}@media (max-width: 739.9px){.dcr-1v07sbc{margin-left:8px;}}.dcr-1v07sbc:hover{background-color:#707070;}@media (max-width: 739.9px){.dcr-1v07sbc{position:absolute;right:8px;}}.dcr-1v07sbc svg{height:24px;width:24px;}.dcr-ybr5tf{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}@media (max-width: 739.9px){.dcr-n4pnam{display:none;}}.dcr-9ww4qd{display:block;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:#DCDCDC;}@media (min-width: 740px){.dcr-9ww4qd{text-align:center;padding-top:2.25rem;margin-bottom:4px;}}@media (max-width: 739.9px){.dcr-9ww4qd{margin-bottom:8px;}}.dcr-8mhfnx{margin-left:1px;margin-right:1px;}.dcr-tviv3x{color:#F6F6F6;}.dcr-pnu31o{margin-top:8px;margin-bottom:8px;border-radius:50%;height:44px;width:44px;border:none;cursor:pointer;-webkit-transition:background-color 0.2s;transition:background-color 0.2s;background-color:#333333;-webkit-order:1;-ms-flex-order:1;order:1;}.dcr-pnu31o svg{fill:#FFFFFF;margin-top:3px;}@media (max-width: 739.9px){.dcr-pnu31o{margin-left:8px;}}.dcr-pnu31o:hover{background-color:#707070;}.dcr-pnu31o svg{height:24px;width:24px;}@media (min-width: 740px){.dcr-pnu31o svg{height:32px;width:32px;}}@media (max-width: 739.9px){.dcr-pnu31o{-webkit-order:2;-ms-flex-order:2;order:2;}}.dcr-1c9urh0{margin-top:8px;margin-bottom:8px;border-radius:50%;height:44px;width:44px;border:none;cursor:pointer;-webkit-transition:background-color 0.2s;transition:background-color 0.2s;background-color:#333333;-webkit-order:2;-ms-flex-order:2;order:2;}.dcr-1c9urh0 svg{fill:#FFFFFF;margin-top:3px;}@media (max-width: 739.9px){.dcr-1c9urh0{margin-left:8px;}}.dcr-1c9urh0:hover{background-color:#707070;}.dcr-1c9urh0 svg{height:24px;width:24px;}@media (min-width: 740px){.dcr-1c9urh0 svg{height:32px;width:32px;}}@media (max-width: 739.9px){.dcr-1c9urh0{-webkit-order:1;-ms-flex-order:1;order:1;}}.dcr-43tvi7{margin-top:8px;margin-bottom:8px;border-radius:50%;height:44px;width:44px;border:none;cursor:pointer;-webkit-transition:background-color 0.2s;transition:background-color 0.2s;background-color:#333333;-webkit-order:3;-ms-flex-order:3;order:3;}.dcr-43tvi7 svg{fill:#FFFFFF;margin-top:3px;}@media (max-width: 739.9px){.dcr-43tvi7{margin-left:8px;}}.dcr-43tvi7:hover{background-color:#707070;}.dcr-43tvi7 svg{height:24px;width:24px;}.dcr-1jicgf3{position:-webkit-sticky;position:sticky;top:0;z-index:21;background-color:var(--stuck-background);}.dcr-1u9kji9{position:static;}.dcr-iim5od{z-index:1080;width:100%;background-color:var(--ad-background);min-height:133px;border-bottom:1px solid var(--ad-border);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;position:-webkit-sticky;position:sticky;top:0;}.dcr-mqepgd{min-height:90px;min-width:728px;}.dcr-vdr14u{padding-bottom:18px;position:relative;margin:0 auto;text-align:left;display:block;}.dcr-5k6jfi{display:grid;grid-auto-rows:auto;grid-template-columns:[viewport-start] 0 [content-start main-column-start] repeat(4, minmax(0, 1fr)) [content-end main-column-end] 0 [viewport-end];-webkit-column-gap:10px;column-gap:10px;}@media (min-width: 480px){.dcr-5k6jfi{-webkit-column-gap:20px;column-gap:20px;}}@media (min-width: 740px){.dcr-5k6jfi{grid-template-columns:[viewport-start] minmax(0, 1fr) [content-start main-column-start] repeat(12, 40px) [content-end main-column-end] minmax(0, 1fr) [viewport-end];}}@media (min-width: 980px){.dcr-5k6jfi{grid-template-columns:[viewport-start] minmax(0, 1fr) [content-start main-column-start] repeat(12, 60px) [content-end main-column-end] minmax(0, 1fr) [viewport-end];}}@media (min-width: 1140px){.dcr-5k6jfi{grid-template-columns:[viewport-start] minmax(0, 1fr) [content-start left-column-start] repeat(2, 60px) [left-column-end main-column-start] repeat(12, 60px) [content-end main-column-end] minmax(0, 1fr) [viewport-end];}}@media (min-width: 1300px){.dcr-5k6jfi{grid-template-columns:[viewport-start] minmax(0, 1fr) [content-start left-column-start] repeat(3, 60px) [left-column-end main-column-start] repeat(12, 60px) [main-column-end] repeat(1, 60px) [content-end] minmax(0, 1fr) [viewport-end];}}.dcr-kohrs2{grid-column:content-start/main-column-end;background-color:var(--masthead-top-bar-background);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;-webkit-box-pack:end;-ms-flex-pack:end;-webkit-justify-content:flex-end;justify-content:flex-end;box-sizing:border-box;height:52px;}@media (min-width: 740px){.dcr-kohrs2{height:60px;}}@media (min-width: 980px){.dcr-kohrs2{height:64px;}}.dcr-145list{height:100%;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-right:auto;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;}@media (max-width: 979.9px){.dcr-1vetsv0{display:none;}}.dcr-1cvta4k{height:100%;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}@media (min-width: 980px){.dcr-1cvta4k:before{content:'';border-left:1px solid var(--masthead-top-bar-vertical-divider);height:38px;}}.dcr-vxblrw{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;color:var(--masthead-top-bar-link-text);-webkit-transition:color 80ms ease-out;transition:color 80ms ease-out;-webkit-text-decoration:none;text-decoration:none;padding:4px;}.dcr-vxblrw:hover,.dcr-vxblrw:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-vxblrw svg{fill:currentColor;float:left;height:18px;width:18px;margin:0 4px 0 0;}.dcr-3ny4gi{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;color:var(--masthead-top-bar-link-text);-webkit-transition:color 80ms ease-out;transition:color 80ms ease-out;-webkit-text-decoration:none;text-decoration:none;padding:4px 0 4px 4px;z-index:19;}.dcr-3ny4gi:hover,.dcr-3ny4gi:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-3ny4gi svg{fill:currentColor;float:left;height:18px;width:18px;margin:0 4px 0 0;}.dcr-1jzii9a{grid-column:main-column-start/main-column-end;grid-row:1;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;}@media (min-width: 375px){.dcr-1jzii9a{justify-self:end;}}.dcr-1p6sy7j{z-index:18;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;color:var(--masthead-nav-link-text);font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;margin-top:4px;}.dcr-1p6sy7j ul{position:absolute;left:0;right:unset;max-height:unset;min-width:200px;}@media (min-width: 375px){.dcr-1p6sy7j ul{left:unset;right:0;}}.dcr-1kbi9ft #checkbox-id-masthead-edition{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-1kbi9ft #dropbox-id-masthead-edition{display:none;}.dcr-1kbi9ft #checkbox-id-masthead-edition:checked+#dropbox-id-masthead-edition{display:block;}.dcr-1crstso{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;display:block;cursor:pointer;background:none;border:none;line-height:1.2;color:#FFFFFF;-webkit-transition:color 80ms ease-out;transition:color 80ms ease-out;padding:0px 10px 6px 5px;margin:1px 0 0;-webkit-text-decoration:none;text-decoration:none;position:relative;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:var(--masthead-nav-link-text);padding:6px 0 0 0;margin-top:4px;}.dcr-1crstso:hover{color:#FFE500;}.dcr-1crstso:hover:after{-webkit-transform:translateY(0) rotate(45deg);-moz-transform:translateY(0) rotate(45deg);-ms-transform:translateY(0) rotate(45deg);transform:translateY(0) rotate(45deg);}.dcr-1crstso:after{content:'';display:inline-block;width:5px;height:5px;-webkit-transform:translateY(-2px) rotate(45deg);-moz-transform:translateY(-2px) rotate(45deg);-ms-transform:translateY(-2px) rotate(45deg);transform:translateY(-2px) rotate(45deg);border:1px solid currentColor;border-left:transparent;border-top:transparent;margin-left:5px;vertical-align:middle;-webkit-transition:-webkit-transform 250ms ease-out;transition:transform 250ms ease-out;}@media (min-width: 1140px){.dcr-1crstso{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;}}.dcr-1crstso:not(ul):hover{color:var(--masthead-nav-link-text);-webkit-text-decoration:underline;text-decoration:underline;}.dcr-1lusb1s{z-index:29;list-style:none;background-color:white;padding:6px 0;box-shadow:0 0 0 1px rgba(0, 0, 0, 0.1);font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:var(--masthead-nav-link-text);padding:6px 0 0 0;margin-top:4px;}.dcr-1lusb1s li::before{content:'\200B';display:block;height:0;width:0;}@media (max-width: 739.9px){.dcr-1lusb1s{position:fixed;border-radius:0;top:32px;left:0;right:0;width:auto;max-height:calc(100% - 50px);overflow:auto;}}@media (min-width: 740px){.dcr-1lusb1s{position:absolute;top:100%;width:200px;border-radius:3px;}}@media (min-width: 1140px){.dcr-1lusb1s{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;}}.dcr-1lusb1s:not(ul):hover{color:var(--masthead-nav-link-text);-webkit-text-decoration:underline;text-decoration:underline;}.dcr-64xqd0{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:#121212;-webkit-transition:color 80ms ease-out;transition:color 80ms ease-out;margin:-1px 0 0 0;-webkit-text-decoration:none;text-decoration:none;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:flex-start;-webkit-box-align:flex-start;-ms-flex-align:flex-start;align-items:flex-start;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;padding:10px 18px 15px 30px;font-weight:bold;}.dcr-64xqd0:hover{background-color:#EDEDED;-webkit-text-decoration:none;text-decoration:none;}.dcr-64xqd0:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-64xqd0:before{content:'';border-top:1px solid #DCDCDC;display:block;position:absolute;top:0px;left:30px;right:0px;}.dcr-64xqd0:after{content:'';border:2px solid #C70000;border-top:0px;border-right:0px;position:absolute;top:19px;left:12px;width:10px;height:4px;-webkit-transform:rotate(-45deg);-moz-transform:rotate(-45deg);-ms-transform:rotate(-45deg);transform:rotate(-45deg);}.dcr-64xqd0:before{content:none;}.dcr-i0vtpq{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:#121212;-webkit-transition:color 80ms ease-out;transition:color 80ms ease-out;margin:-1px 0 0 0;-webkit-text-decoration:none;text-decoration:none;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:flex-start;-webkit-box-align:flex-start;-ms-flex-align:flex-start;align-items:flex-start;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;padding:10px 18px 15px 30px;}.dcr-i0vtpq:hover{background-color:#EDEDED;-webkit-text-decoration:none;text-decoration:none;}.dcr-i0vtpq:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-i0vtpq:before{content:'';border-top:1px solid #DCDCDC;display:block;position:absolute;top:0px;left:30px;right:0px;}.dcr-1apgfiu{grid-column:main-column-start/main-column-end;grid-row:1;position:relative;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;justify-self:end;-webkit-align-self:end;-ms-flex-item-align:end;align-self:end;margin-top:8px;margin-bottom:6px;right:52px;}@media (min-width: 375px){.dcr-1apgfiu{right:0;}}@media (min-width: 480px){.dcr-1apgfiu{margin-bottom:8px;}}.dcr-1apgfiu svg{width:152px;}@media (min-width: 375px){.dcr-1apgfiu svg{width:207px;}}@media (min-width: 740px){.dcr-1apgfiu svg{width:252px;}}@media (min-width: 980px){.dcr-1apgfiu svg{width:291px;}}@media (min-width: 1140px){.dcr-1apgfiu svg{width:324px;}}.dcr-zramh4{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-1p0hins{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-1acea34{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-1p1neil{grid-column:content-start/content-end;grid-row:2;-webkit-align-self:end;-ms-flex-item-align:end;align-self:end;font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;margin-top:8px;pointer-events:none;position:relative;}@media (min-width: 980px){.dcr-1p1neil{grid-row:1/2;}.dcr-1p1neil li:last-of-type:after{content:'';border-left:1px solid var(--masthead-nav-lines);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:absolute;right:0;top:0;bottom:0;height:calc(100% - 4px);margin-top:4px;}}.dcr-1p1neil::after{content:'';position:absolute;border-bottom:1px solid var(--masthead-nav-lines);bottom:0;right:-10px;left:-10px;}@media (min-width: 480px){.dcr-1p1neil::after{left:-20px;right:-20px;}}.dcr-1d6g26q{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;pointer-events:auto;}.dcr-1grikph{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;overflow:hidden;height:28px;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;list-style:none;}@media (min-width: 375px){.dcr-1grikph{height:34px;}}@media (min-width: 480px){.dcr-1grikph{height:37px;}}@media (min-width: 740px){.dcr-1grikph{width:108px;}}@media (min-width: 980px){.dcr-1grikph{height:40px;}}@media (min-width: 1140px){.dcr-1grikph{height:52px;width:125px;}}@media (min-width: 1300px){.dcr-1grikph{width:136px;}}.dcr-1grikph::before{content:'\200B';display:block;height:0;width:0;}.dcr-1grikph:after{content:'';border-left:1px solid var(--masthead-nav-lines);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:absolute;right:0;top:0;bottom:0;height:calc(100% - 4px);margin-top:4px;}.dcr-1grikph a{padding-left:0;}.dcr-1grikph a:after{width:calc(100% - 1px);margin-left:0;}.dcr-1iufw7r{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;-webkit-text-decoration:none;text-decoration:none;background-color:var(--masthead-nav-background);color:var(--masthead-nav-link-text);-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;padding-left:6px;padding-right:4px;}@media (min-width: 375px){.dcr-1iufw7r{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;font-size:0.9375rem;padding-right:8px;}}@media (min-width: 480px){.dcr-1iufw7r{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;}}@media (min-width: 980px){.dcr-1iufw7r{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-1iufw7r:focus:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}.dcr-1iufw7r:hover{-webkit-text-decoration:none;text-decoration:none;}.dcr-1iufw7r:hover:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}@media (min-width: 1140px){.dcr-1iufw7r{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-1iufw7r:after{height:5px;background-color:var(--pillar-underline);content:'';display:block;position:absolute;bottom:0;left:0;right:0;width:calc(100% - 6px - 1px);margin-left:6px;-webkit-transition:-webkit-transform 0.3s ease-in-out;transition:transform 0.3s ease-in-out;margin-bottom:-5px;}.dcr-1iufw7r:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}.dcr-1iufw7r:focus:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}.dcr-1iufw7r:hover{-webkit-text-decoration:none;text-decoration:none;}.dcr-1iufw7r:hover:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}.dcr-ks441s{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;overflow:hidden;height:28px;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;list-style:none;}@media (min-width: 375px){.dcr-ks441s{height:34px;}}@media (min-width: 480px){.dcr-ks441s{height:37px;}}@media (min-width: 740px){.dcr-ks441s{width:108px;}}@media (min-width: 980px){.dcr-ks441s{height:40px;}}@media (min-width: 1140px){.dcr-ks441s{height:52px;width:125px;}}@media (min-width: 1300px){.dcr-ks441s{width:136px;}}.dcr-ks441s::before{content:'\200B';display:block;height:0;width:0;}.dcr-ks441s:after{content:'';border-left:1px solid var(--masthead-nav-lines);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:absolute;right:0;top:0;bottom:0;height:calc(100% - 4px);margin-top:4px;}.dcr-7612kl{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;-webkit-text-decoration:none;text-decoration:none;background-color:var(--masthead-nav-background);color:var(--masthead-nav-link-text);-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;padding-left:6px;padding-right:4px;}@media (min-width: 375px){.dcr-7612kl{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;font-size:0.9375rem;padding-right:8px;}}@media (min-width: 480px){.dcr-7612kl{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;}}@media (min-width: 980px){.dcr-7612kl{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-7612kl:focus:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}.dcr-7612kl:hover{-webkit-text-decoration:none;text-decoration:none;}.dcr-7612kl:hover:after{-webkit-transform:translateY(-5px);-moz-transform:translateY(-5px);-ms-transform:translateY(-5px);transform:translateY(-5px);}@media (min-width: 1140px){.dcr-7612kl{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-7612kl:after{height:5px;background-color:var(--pillar-underline);content:'';display:block;position:absolute;bottom:0;left:0;right:0;width:calc(100% - 6px - 1px);margin-left:6px;-webkit-transition:-webkit-transform 0.3s ease-in-out;transition:transform 0.3s ease-in-out;margin-bottom:-5px;}.dcr-1kcody2{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;overflow:hidden;height:28px;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;list-style:none;}@media (min-width: 375px){.dcr-1kcody2{height:34px;}}@media (min-width: 480px){.dcr-1kcody2{height:37px;}}@media (min-width: 740px){.dcr-1kcody2{width:108px;}}@media (min-width: 980px){.dcr-1kcody2{height:40px;}}@media (min-width: 1140px){.dcr-1kcody2{height:52px;width:125px;}}@media (min-width: 1300px){.dcr-1kcody2{width:136px;}}.dcr-1kcody2::before{content:'\200B';display:block;height:0;width:0;}.dcr-1hrapdy{grid-column:content-start/content-end;grid-row:1;-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;justify-self:end;position:relative;bottom:2px;}@media (min-width: 375px){.dcr-1hrapdy{grid-row:1/3;-webkit-align-self:end;-ms-flex-item-align:end;align-self:end;}}@media (min-width: 375px){.dcr-1hrapdy{bottom:4px;}}@media (min-width: 980px){.dcr-1hrapdy{right:354px;bottom:6px;}}@media (min-width: 1140px){.dcr-1hrapdy{right:430px;bottom:14px;}}@media (min-width: 1300px){.dcr-1hrapdy{right:534px;}}.dcr-1xv1515{position:relative;z-index:1;}@media (max-width: 979.9px){#header-nav-input-checkbox:checked~div .dcr-1xv1515{z-index:27;}}.dcr-b3mn8w{cursor:pointer;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;width:40px;height:40px;border-radius:50%;background-color:var(--masthead-veggie-burger-background);}.dcr-b3mn8w:hover{background-color:var(--masthead-veggie-burger-background-hover);}.dcr-b3mn8w:focus{outline:none;}#header-nav-input-checkbox:checked~div .dcr-b3mn8w{display:none;}.dcr-1nvgr5i{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-li5n90{cursor:pointer;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;width:40px;height:40px;border-radius:50%;background-color:var(--masthead-veggie-burger-background);}.dcr-li5n90:hover{background-color:var(--masthead-veggie-burger-background-hover);}.dcr-li5n90:focus{outline:none;}#header-nav-input-checkbox:not(:checked)~div .dcr-li5n90{display:none;}.dcr-1ef3v4m{grid-column:content-start/content-end;grid-row:2;margin-top:-1px;}.dcr-14vdg2{z-index:26;left:0;top:0;}@media (max-width: 979.9px){.dcr-14vdg2{-webkit-transform:translateX(-110%);-moz-transform:translateX(-110%);-ms-transform:translateX(-110%);transform:translateX(-110%);-webkit-transition:-webkit-transform 0.4s cubic-bezier(0.23, 1, 0.32, 1);transition:transform 0.4s cubic-bezier(0.23, 1, 0.32, 1);bottom:0;height:100%;overflow:auto;position:fixed;right:0;will-change:transform;}}@media (min-width: 980px){.dcr-14vdg2{display:none;}}@media (max-width: 979.9px){#header-nav-input-checkbox:checked~div .dcr-14vdg2{-webkit-transform:translateX(0%);-moz-transform:translateX(0%);-ms-transform:translateX(0%);transform:translateX(0%);}}@media (min-width: 980px){#header-nav-input-checkbox:checked~div .dcr-14vdg2{display:block;overflow:visible;}}@media (min-width: 980px){.dcr-1srap2j{position:relative;}}.dcr-10y96fo{background-color:var(--masthead-nav-background);font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.25rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:3px;z-index:25;left:0;top:0;box-sizing:border-box;position:absolute;margin-right:28px;box-shadow:28px 0 rgba(0, 0, 0, 0.4);}@media (min-width: 480px){.dcr-10y96fo{margin-right:40px;box-shadow:40px 0 rgba(0, 0, 0, 0.4);}}@media (min-width: 740px){.dcr-10y96fo{margin-right:100px;box-shadow:100px 0 rgba(0, 0, 0, 0.4);}}@media (min-width: 980px){.dcr-10y96fo{box-shadow:none;position:absolute;padding-bottom:0;padding-top:0;top:0;left:0;right:0;width:100%;}@supports (width: 100vw){.dcr-10y96fo{left:50%;right:50%;width:100vw;margin-left:-50vw;margin-right:-50vw;}}}.dcr-6sl420{box-sizing:border-box;max-width:none;}@media (min-width: 980px){.dcr-6sl420{max-width:980px;padding:0 20px;position:relative;margin:0 auto;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;border-right:1px solid var(--masthead-nav-lines);border-top:1px solid var(--masthead-nav-lines);}.dcr-6sl420:first-of-type{border-left:1px solid var(--masthead-nav-lines);}}@media (min-width: 1140px){.dcr-6sl420{max-width:1140px;}}@media (min-width: 1300px){.dcr-6sl420{max-width:1300px;}}.dcr-lpsfc3{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;list-style:none;margin:0;padding-bottom:10px;position:relative;}.dcr-lpsfc3::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-lpsfc3{width:108px;float:left;position:relative;border-left:1px solid var(--masthead-nav-lines);}.dcr-lpsfc3:first-of-type{border-left:none;width:calc(108px - 2px);}}@media (min-width: 1140px){.dcr-lpsfc3{width:125px;}.dcr-lpsfc3:first-of-type{width:calc(125px - 2px);}}@media (min-width: 1300px){.dcr-lpsfc3{width:136px;}.dcr-lpsfc3:first-of-type{width:calc(136px - 2px);}}@media (min-width: 980px){.dcr-lpsfc3:before{content:'';display:block;position:absolute;right:0;top:0;bottom:0;width:1px;background-color:var(--masthead-nav-lines);}}.dcr-o6rk0u{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;padding:8px 32px 8px 48px;display:block;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;text-transform:capitalize;}.dcr-o6rk0u >*{pointer-events:none;}@media (min-width: 740px){.dcr-o6rk0u{padding-left:60px;}}@media (min-width: 980px){.dcr-o6rk0u{padding:6px 0;}}.dcr-o6rk0u:hover,.dcr-o6rk0u:focus{color:var(--masthead-nav-link-text-hover);}.dcr-o6rk0u:before{margin-top:4px;left:24px;position:absolute;border:2px solid currentColor;border-top:0;border-left:0;content:'';display:inline-block;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);height:10px;width:10px;}#News-checkbox-input:checked~.dcr-o6rk0u:before{margin-top:8px;-webkit-transform:rotate(-135deg);-moz-transform:rotate(-135deg);-ms-transform:rotate(-135deg);transform:rotate(-135deg);}@media (min-width: 980px){.dcr-o6rk0u{display:none;}}.dcr-11vt4tq{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-11vt4tq::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-11vt4tq{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}@media (min-width: 980px){.dcr-11vt4tq{padding-left:0;}}@media (max-width: 739.9px){.dcr-11vt4tq{background:var(--masthead-nav-background);}}@media (max-width: 739.9px){.dcr-11vt4tq{background:var(--masthead-nav-background);}}@media (max-width: 979.9px){#News-checkbox-input:not(:checked)~.dcr-11vt4tq{display:none;}}.dcr-9ra8aa{box-sizing:border-box;overflow:hidden;position:relative;width:100%;}@media (min-width: 980px){.dcr-9ra8aa{display:-webkit-box;display:-webkit-list-item;display:-ms-list-itembox;display:list-item;}}@media (min-width: 980px){.dcr-9ra8aa{display:none;}}.dcr-1julzi7{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;}.dcr-1julzi7 >*{pointer-events:none;}@media (min-width: 740px){.dcr-1julzi7{padding-left:60px;}}@media (min-width: 980px){.dcr-1julzi7{padding:6px 0;}}.dcr-1julzi7:hover,.dcr-1julzi7:focus{color:var(--masthead-nav-link-text-hover);}.dcr-1julzi7:hover,.dcr-1julzi7:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-4hq641{box-sizing:border-box;overflow:hidden;position:relative;width:100%;}@media (min-width: 980px){.dcr-4hq641{display:-webkit-box;display:-webkit-list-item;display:-ms-list-itembox;display:list-item;}}.dcr-1tnoaxa{background-color:var(--masthead-nav-border);content:'';display:block;height:1px;margin-left:50px;right:0;}@media (max-width: 979.9px){#News-checkbox-input:checked~.dcr-1tnoaxa{display:none;}}@media (min-width: 980px){.dcr-1tnoaxa{display:none;}}.dcr-p0c3jt{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;padding:8px 32px 8px 48px;display:block;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;text-transform:capitalize;}.dcr-p0c3jt >*{pointer-events:none;}@media (min-width: 740px){.dcr-p0c3jt{padding-left:60px;}}@media (min-width: 980px){.dcr-p0c3jt{padding:6px 0;}}.dcr-p0c3jt:hover,.dcr-p0c3jt:focus{color:var(--masthead-nav-link-text-hover);}.dcr-p0c3jt:before{margin-top:4px;left:24px;position:absolute;border:2px solid currentColor;border-top:0;border-left:0;content:'';display:inline-block;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);height:10px;width:10px;}#Opinion-checkbox-input:checked~.dcr-p0c3jt:before{margin-top:8px;-webkit-transform:rotate(-135deg);-moz-transform:rotate(-135deg);-ms-transform:rotate(-135deg);transform:rotate(-135deg);}@media (min-width: 980px){.dcr-p0c3jt{display:none;}}.dcr-v7ibvm{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-v7ibvm::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-v7ibvm{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}@media (max-width: 739.9px){.dcr-v7ibvm{background:var(--masthead-nav-background);}}@media (max-width: 979.9px){#Opinion-checkbox-input:not(:checked)~.dcr-v7ibvm{display:none;}}.dcr-1j2dgzz{background-color:var(--masthead-nav-border);content:'';display:block;height:1px;margin-left:50px;right:0;}@media (max-width: 979.9px){#Opinion-checkbox-input:checked~.dcr-1j2dgzz{display:none;}}@media (min-width: 980px){.dcr-1j2dgzz{display:none;}}.dcr-10b2o1s{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;padding:8px 32px 8px 48px;display:block;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;text-transform:capitalize;}.dcr-10b2o1s >*{pointer-events:none;}@media (min-width: 740px){.dcr-10b2o1s{padding-left:60px;}}@media (min-width: 980px){.dcr-10b2o1s{padding:6px 0;}}.dcr-10b2o1s:hover,.dcr-10b2o1s:focus{color:var(--masthead-nav-link-text-hover);}.dcr-10b2o1s:before{margin-top:4px;left:24px;position:absolute;border:2px solid currentColor;border-top:0;border-left:0;content:'';display:inline-block;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);height:10px;width:10px;}#Sport-checkbox-input:checked~.dcr-10b2o1s:before{margin-top:8px;-webkit-transform:rotate(-135deg);-moz-transform:rotate(-135deg);-ms-transform:rotate(-135deg);transform:rotate(-135deg);}@media (min-width: 980px){.dcr-10b2o1s{display:none;}}.dcr-wp8bgr{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-wp8bgr::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-wp8bgr{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}@media (max-width: 739.9px){.dcr-wp8bgr{background:var(--masthead-nav-background);}}@media (max-width: 979.9px){#Sport-checkbox-input:not(:checked)~.dcr-wp8bgr{display:none;}}.dcr-16q8bto{background-color:var(--masthead-nav-border);content:'';display:block;height:1px;margin-left:50px;right:0;}@media (max-width: 979.9px){#Sport-checkbox-input:checked~.dcr-16q8bto{display:none;}}@media (min-width: 980px){.dcr-16q8bto{display:none;}}.dcr-x5fwww{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;padding:8px 32px 8px 48px;display:block;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;text-transform:capitalize;}.dcr-x5fwww >*{pointer-events:none;}@media (min-width: 740px){.dcr-x5fwww{padding-left:60px;}}@media (min-width: 980px){.dcr-x5fwww{padding:6px 0;}}.dcr-x5fwww:hover,.dcr-x5fwww:focus{color:var(--masthead-nav-link-text-hover);}.dcr-x5fwww:before{margin-top:4px;left:24px;position:absolute;border:2px solid currentColor;border-top:0;border-left:0;content:'';display:inline-block;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);height:10px;width:10px;}#Culture-checkbox-input:checked~.dcr-x5fwww:before{margin-top:8px;-webkit-transform:rotate(-135deg);-moz-transform:rotate(-135deg);-ms-transform:rotate(-135deg);transform:rotate(-135deg);}@media (min-width: 980px){.dcr-x5fwww{display:none;}}.dcr-1yytfii{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-1yytfii::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-1yytfii{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}@media (max-width: 739.9px){.dcr-1yytfii{background:var(--masthead-nav-background);}}@media (max-width: 979.9px){#Culture-checkbox-input:not(:checked)~.dcr-1yytfii{display:none;}}.dcr-6zq80y{background-color:var(--masthead-nav-border);content:'';display:block;height:1px;margin-left:50px;right:0;}@media (max-width: 979.9px){#Culture-checkbox-input:checked~.dcr-6zq80y{display:none;}}@media (min-width: 980px){.dcr-6zq80y{display:none;}}.dcr-yq9plo{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;padding:8px 32px 8px 48px;display:block;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;text-transform:capitalize;}.dcr-yq9plo >*{pointer-events:none;}@media (min-width: 740px){.dcr-yq9plo{padding-left:60px;}}@media (min-width: 980px){.dcr-yq9plo{padding:6px 0;}}.dcr-yq9plo:hover,.dcr-yq9plo:focus{color:var(--masthead-nav-link-text-hover);}.dcr-yq9plo:before{margin-top:4px;left:24px;position:absolute;border:2px solid currentColor;border-top:0;border-left:0;content:'';display:inline-block;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);height:10px;width:10px;}#Lifestyle-checkbox-input:checked~.dcr-yq9plo:before{margin-top:8px;-webkit-transform:rotate(-135deg);-moz-transform:rotate(-135deg);-ms-transform:rotate(-135deg);transform:rotate(-135deg);}@media (min-width: 980px){.dcr-yq9plo{display:none;}}.dcr-1utnfys{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-1utnfys::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-1utnfys{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}@media (max-width: 739.9px){.dcr-1utnfys{background:var(--masthead-nav-background);}}@media (max-width: 979.9px){#Lifestyle-checkbox-input:not(:checked)~.dcr-1utnfys{display:none;}}@media (min-width: 980px){.dcr-90inr0{display:none;}}.dcr-1jjnk9d{box-sizing:border-box;display:block;margin-left:16px;max-width:380px;position:relative;margin-bottom:24px;margin-right:41px;padding-bottom:15px;}@media (min-width: 980px){.dcr-1jjnk9d{margin:0;}}.dcr-6v110l{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;color:#121212;position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-qcy5wo{width:100%;box-sizing:border-box;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:44px;color:#121212;background-color:#FFFFFF;border:1px solid #707070;border-radius:4px;padding:0 8px;margin-top:4px;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;background-color:var(--nav-search-bar-background);border:0;border-radius:1000px;box-sizing:border-box;color:var(--nav-search-bar-text);height:36px;padding-left:38px;vertical-align:middle;width:100%;}.dcr-qcy5wo:focus{outline:0;}html:not(.src-focus-disabled) .dcr-qcy5wo:focus{box-shadow:0 0 0 3px #0077B6;}.dcr-qcy5wo:invalid{box-shadow:none;}.dcr-qcy5wo:invalid[value]:not([value='']){border:2px solid #C70000;border-radius:4px;color:#121212;margin-top:0;}.dcr-qcy5wo::-webkit-input-placeholder{color:var(--nav-search-bar-text);}.dcr-qcy5wo::-moz-placeholder{color:var(--nav-search-bar-text);}.dcr-qcy5wo:-ms-input-placeholder{color:var(--nav-search-bar-text);}.dcr-qcy5wo::placeholder{color:var(--nav-search-bar-text);}.dcr-qcy5wo:focus{padding-right:40px;}.dcr-qcy5wo:focus::-webkit-input-placeholder{opacity:0;}.dcr-qcy5wo:focus::-moz-placeholder{opacity:0;}.dcr-qcy5wo:focus:-ms-input-placeholder{opacity:0;}.dcr-qcy5wo:focus::placeholder{opacity:0;}.dcr-qcy5wo:focus~button{background-color:transparent;opacity:1;pointer-events:all;}.dcr-radnun{position:absolute;left:7px;top:7px;fill:var(--nav-search-bar-icon);}.dcr-1gsboxi{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;box-sizing:border-box;border:none;background:transparent;cursor:pointer;-webkit-transition:.3s ease-in-out;transition:.3s ease-in-out;-webkit-text-decoration:none;text-decoration:none;white-space:nowrap;vertical-align:middle;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;height:44px;min-height:44px;padding:0 20px;border-radius:44px;padding-bottom:2px;background-color:#052962;color:#FFFFFF;-webkit-flex-direction:row-reverse;-ms-flex-direction:row-reverse;flex-direction:row-reverse;background:transparent;border:0;bottom:0;cursor:pointer;display:block;opacity:0;pointer-events:none;position:absolute;right:0;top:0;width:50px;fill:var(--nav-search-bar-icon);}.dcr-1gsboxi:disabled{cursor:not-allowed;}.dcr-1gsboxi:focus{outline:0;}html:not(.src-focus-disabled) .dcr-1gsboxi:focus{outline:5px solid #0077B6;outline-offset:3px;}.dcr-1gsboxi:hover{background-color:#234B8A;}.dcr-1gsboxi svg{-webkit-flex:0 0 auto;-ms-flex:0 0 auto;flex:0 0 auto;display:block;fill:currentColor;position:relative;width:30px;height:auto;}.dcr-1gsboxi .src-button-space{width:12px;}.dcr-1gsboxi svg{margin-left:-4px;}.dcr-1gsboxi:focus,.dcr-1gsboxi:active{opacity:0;pointer-events:all;}.dcr-1gsboxi:before{height:12px;top:12px;width:12px;}.dcr-1gsboxi:after{border-right:0;top:17px;width:20px;}.dcr-1q09wwq{background-color:var(--masthead-nav-border);content:'';display:block;height:1px;margin-left:50px;right:0;}@media (min-width: 980px){.dcr-1q09wwq{display:none;}}@media (min-width: 980px){.dcr-e1bf28{display:none;}}.dcr-1rg7stg{position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;color:var(--nav-reader-revenue-link-text);font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.25rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}.dcr-1rg7stg >*{pointer-events:none;}@media (min-width: 740px){.dcr-1rg7stg{padding-left:60px;}}@media (min-width: 980px){.dcr-1rg7stg{padding:6px 0;}}.dcr-1rg7stg:hover,.dcr-1rg7stg:focus{color:var(--masthead-nav-link-text-hover);}@media (min-width: 980px){.dcr-1rg7stg{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;}}.dcr-1rg7stg:hover,.dcr-1rg7stg:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-3ae42h{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;list-style:none;margin:0;padding-bottom:10px;position:relative;}.dcr-3ae42h::before{content:'\200B';display:block;height:0;width:0;}.dcr-3ae42h:first-of-type:after{content:none;}@media (min-width: 980px){.dcr-3ae42h{width:108px;float:left;position:relative;}.dcr-3ae42h:after{content:none;}}@media (min-width: 1140px){.dcr-3ae42h{width:125px;}}@media (min-width: 1300px){.dcr-3ae42h{width:136px;}}@media (min-width: 980px){.dcr-3ae42h:before{content:'';display:block;position:absolute;right:0;top:0;bottom:0;width:1px;height:auto;background-color:var(--masthead-nav-lines);}}@media (min-width: 980px){.dcr-3ae42h:after{content:'';display:block;position:absolute;right:0;top:0;bottom:0;left:0;width:1px;height:auto;background-color:var(--masthead-nav-lines);}}.dcr-1mtufo3{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;list-style:none;margin:0;padding:0 0 12px;position:relative;}.dcr-1mtufo3::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 980px){.dcr-1mtufo3{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:nowrap;-webkit-flex-wrap:nowrap;-ms-flex-wrap:nowrap;flex-wrap:nowrap;-webkit-order:1;-ms-flex-order:1;order:1;height:100%;width:100%;padding:0 8px;}}.dcr-a1su5g{position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;}.dcr-a1su5g >*{pointer-events:none;}@media (min-width: 740px){.dcr-a1su5g{padding-left:60px;}}@media (min-width: 980px){.dcr-a1su5g{padding:6px 0;}}.dcr-a1su5g:hover,.dcr-a1su5g:focus{color:var(--masthead-nav-link-text-hover);}.dcr-a1su5g:hover,.dcr-a1su5g:focus{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-1rinrec{display:none;padding:8px;}@media (min-width: 980px){.dcr-1rinrec{display:block;}}.dcr-iwod0p{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;list-style:none;box-sizing:border-box;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;margin:0;padding-bottom:0;}.dcr-iwod0p::before{content:'\200B';display:block;height:0;width:0;}@media (min-width: 1140px){.dcr-iwod0p{width:140px;}}@media (min-width: 1300px){.dcr-iwod0p{width:300px;}}.dcr-nnfu1a{margin-right:0;margin-top:-6px;padding-bottom:0;}.dcr-e3rvah{position:relative;display:inline-block;text-align:left;box-sizing:border-box;border:0;outline:none;cursor:pointer;width:100%;color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding:8px 32px 8px 48px;font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;-webkit-text-decoration:none;text-decoration:none;}.dcr-e3rvah >*{pointer-events:none;}@media (min-width: 740px){.dcr-e3rvah{padding-left:60px;}}@media (min-width: 980px){.dcr-e3rvah{padding:6px 0;}}.dcr-e3rvah:hover,.dcr-e3rvah:focus{color:var(--masthead-nav-link-text-hover);}@media (min-width: 740px){.dcr-e3rvah{padding-left:60px;}}@media (min-width: 980px){.dcr-e3rvah{padding:6px 0;}}@media (min-width: 1300px){.dcr-e3rvah{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-mu6xev{position:relative;grid-column:content-start/content-end;grid-row:3;width:calc(100% + 10px);}@media (min-width: 480px){.dcr-mu6xev{width:calc(100% + 20px);}}@media (min-width: 740px){.dcr-mu6xev{width:100%;}}@media (min-width: 740px){.dcr-mu6xev:before{content:'';border-left:1px solid var(--masthead-nav-lines);position:absolute;left:-20px;top:0;bottom:0;}.dcr-mu6xev:after{content:'';border-left:1px solid var(--masthead-nav-lines);position:absolute;right:-20px;top:0;bottom:0;}}.dcr-mu6xev ul{padding-right:32px;position:relative;}.dcr-12t3ay9{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-column-gap:8px;column-gap:8px;color:inherit;min-height:28px;width:100%;margin-top:8px;overflow-x:scroll;scrollbar-width:none;}@media (min-width: 375px){.dcr-12t3ay9{margin-top:12px;}}@media (min-width: 740px){.dcr-12t3ay9{min-height:30px;}}@media (min-width: 1140px){.dcr-12t3ay9{margin-top:14px;}}@supports selector(::-webkit-scrollbar){.dcr-12t3ay9::-webkit-scrollbar{display:none;}}.dcr-5wkng0{white-space:nowrap;}.dcr-15o3dy0{color:var(--masthead-nav-link-text);-webkit-text-decoration:none;text-decoration:none;padding-right:4px;}.dcr-15o3dy0:hover{-webkit-text-decoration:underline;text-decoration:underline;color:var(--masthead-nav-link-text-hover);}.dcr-1ikn05z{position:absolute;width:40px;height:100%;right:0;top:0;bottom:0;background:linear-gradient( to right, transparent 0%, var(--masthead-nav-background) 100% );}.dcr-wqti5a{position:relative;margin:auto;padding-left:10px;padding-right:10px;}@media (min-width: 740px){.dcr-wqti5a{max-width:740px;}}@media (min-width: 980px){.dcr-wqti5a{max-width:980px;}}@media (min-width: 1140px){.dcr-wqti5a{max-width:1140px;}}@media (min-width: 1300px){.dcr-wqti5a{max-width:1300px;}}@media (min-width: 740px){.dcr-wqti5a{border-left:1px solid;border-right:1px solid;border-color:var(--article-border);}}@media (min-width: 480px){.dcr-wqti5a{padding-left:20px;padding-right:20px;}}.dcr-1fw0voq{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}@media (max-width: 1139.9px){.dcr-1fw0voq{margin-left:0px;}}@media (min-width: 1140px){.dcr-1fw0voq{margin-left:151px;}}@media (min-width: 1300px){.dcr-1fw0voq{margin-left:230px;}}@supports (display: grid){.dcr-1fw0voq{display:grid;width:100%;margin-left:0;grid-column-gap:10px;}@media (min-width: 1300px){.dcr-1fw0voq{grid-template-columns:219px 1px 620px 80px 300px;grid-template-areas:'title border headline headline headline' 'meta border media media media' 'meta border standfirst . right-column' 'meta border body . right-column' '. border . . right-column';}}@media (max-width: 1299.9px){.dcr-1fw0voq{grid-template-columns:140px 1px 620px 300px;grid-template-areas:'title border headline headline' 'meta border media media' 'meta border standfirst right-column' 'meta border body right-column' '. border . right-column';}}@media (max-width: 1139.9px){.dcr-1fw0voq{grid-template-columns:620px 300px;grid-template-areas:'title right-column' 'headline right-column' 'standfirst right-column' 'media right-column' 'meta right-column' 'body right-column' '. right-column';}}@media (max-width: 979.9px){.dcr-1fw0voq{grid-column-gap:0px;grid-template-columns:100%;grid-template-areas:'title' 'headline' 'standfirst' 'media' 'meta' 'body';}}@media (max-width: 739.9px){.dcr-1fw0voq{grid-column-gap:0px;grid-template-columns:100%;grid-template-areas:'media' 'title' 'headline' 'standfirst' 'meta' 'body';}}}.dcr-1fnjjtg{grid-area:var(--grid-area);}.dcr-1j5hrwi{position:relative;}.dcr-hlfdy3{height:100%;}@media (max-width: 739.9px){.dcr-hlfdy3{margin:0;-webkit-order:2;-ms-flex-order:2;order:2;}}.dcr-hlfdy3 img{-webkit-flex:0 0 auto;-ms-flex:0 0 auto;flex:0 0 auto;width:100%;height:100%;}@media (max-width: 659.9px){.dcr-hlfdy3{margin-left:-20px;margin-right:-20px;}}@media (max-width: 479.9px){.dcr-hlfdy3{margin-left:-10px;margin-right:-10px;}}.dcr-142siv7{height:100%;}.dcr-1t8m8f2{position:relative;}.dcr-1t8m8f2 img{height:100%;width:100%;object-fit:cover;}.dcr-evn1e9{display:block;}@media (min-width: 740px){.dcr-v822l1{display:none;}}.dcr-gup2gr{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}.dcr-zy1nbx #the-checkbox{display:none;}.dcr-zy1nbx #the-caption{display:none;}.dcr-zy1nbx #the-checkbox:checked+#the-caption{display:block;}.dcr-1xgwz8b{position:absolute;right:5px;width:32px;height:32px;z-index:1;background-color:rgba(18, 18, 18, 0.6);border-radius:50%;bottom:6px;border:none;cursor:pointer;}.dcr-1xgwz8b svg{top:0;bottom:0;right:0;left:0;margin:auto;position:absolute;fill:white;}.dcr-1ie0kc7{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;line-height:135%;padding-top:6px;overflow-wrap:break-word;color:var(--caption-text);position:absolute;left:0;right:0;bottom:0;background:rgba(18, 18, 18, 0.8);color:var(--caption-overlay-text);font-size:0.75rem;line-height:1rem;padding-top:0.375rem;padding-right:2.5rem;padding-left:0.75rem;padding-bottom:0.375rem;-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;min-height:2.25rem;}.dcr-1ie0kc7 span{color:var(--caption-overlay-text);font-size:0.75rem;line-height:1rem;}.dcr-1ie0kc7 svg{fill:currentcolor;}.dcr-1inf02i{fill:var(--caption-text);margin-right:4px;display:inline-block;position:relative;width:1em;vertical-align:baseline;}.dcr-1inf02i::before{content:' ';display:block;padding-top:72.22222222222221%;}.dcr-1inf02i svg{top:0px;right:0px;bottom:0px;left:0px;width:100%;position:absolute;height:100%;}.dcr-1qvd3m6 a{color:var(--caption-link);-webkit-text-decoration:none;text-decoration:none;}.dcr-1qvd3m6 a:hover{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-1qvd3m6 strong{font-weight:bold;}.dcr-13fd1ms{position:absolute;top:0;width:100%;height:100%;cursor:pointer;}@media (min-width: 740px){.dcr-13fd1ms:hover>button.open-lightbox{opacity:0.7;}}.dcr-4tmywn{position:absolute;right:0;margin:6px;border-radius:50%;border:none;cursor:pointer;background:rgba(18, 18, 18, 0.8);opacity:0;height:44px;width:44px;}.dcr-4tmywn svg{margin-top:3px;fill:#FFFFFF;}@media (max-width: 739.9px){.dcr-4tmywn{padding:0;}}@media (min-width: 740px){.dcr-4tmywn:hover{-webkit-filter:brightness(85%);filter:brightness(85%);opacity:0.8;}.dcr-4tmywn:focus{opacity:0.7;}}.dcr-4tmywn svg{height:32px;width:32px;}.dcr-194i6pr{position:absolute;overflow:hidden;white-space:nowrap;width:1px;height:1px;margin:-1px;padding:0;border:0;clip:rect(1px, 1px, 1px, 1px);-webkit-clip-path:inset(50%);-webkit-clip-path:inset(50%);clip-path:inset(50%);}.dcr-1fujct4{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;line-height:135%;padding-top:6px;overflow-wrap:break-word;color:var(--caption-text);margin-bottom:6px;}.dcr-10355cg{padding-top:8px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}@media (min-width: 1140px){.dcr-10355cg{-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}}.dcr-4pzc03{-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;display:inline-block;}@media (max-width: 1139.9px){.dcr-4pzc03{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}}@media (min-width: 980px){.dcr-1v9xu6e{display:none;}}.dcr-u0pbjs{-webkit-text-decoration:none;text-decoration:none;color:var(--series-title-text);background-color:var(--series-title-background);font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;word-break:break-word;box-shadow:-6px 0 0 0 var(--series-title-background),6px 0 0 0 var(--series-title-background);}.dcr-u0pbjs:hover{-webkit-text-decoration:underline;text-decoration:underline;}@media (max-width: 1139.9px){.dcr-u0pbjs{margin-right:8px;}}@media (min-width: 1300px){.dcr-u0pbjs{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;}}.dcr-1v9e6r1{-webkit-text-decoration:none;text-decoration:none;font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;font-weight:400;display:block;word-break:break-word;color:var(--series-title-text);background-color:var(--section-title-background);}.dcr-1v9e6r1:hover{-webkit-text-decoration:underline;text-decoration:underline;}@media (min-width: 1140px){.dcr-upmzd8{border-left:1px solid var(--article-border);height:100%;}}@media (min-width: 980px){.dcr-14emo0l{max-width:620px;}}.dcr-cohhs3{padding-bottom:28px;}@media (min-width: 740px){.dcr-cohhs3{padding-bottom:36px;}}.dcr-notra3{background-color:var(--age-warning-wrapper-background);margin-top:12px;margin-left:-10px;margin-bottom:6px;}@media (min-width: 740px){.dcr-notra3{margin-left:-20px;}}@media (min-width: 1140px){.dcr-notra3{margin-left:-10px;margin-top:0;}}.dcr-13832xi{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:var(--age-warning-text);background-color:var(--age-warning-background);display:inline-block;padding:6px 10px;}.dcr-13832xi >strong{font-weight:bold;}@media (min-width: 480px){.dcr-13832xi{padding-left:12px;}}@media (min-width: 1140px){.dcr-13832xi{padding-left:10px;}}.dcr-u0152o{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.75rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:3px;color:var(--headline-colour);}@media (min-width: 740px){.dcr-u0152o{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:2.125rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:4px;}}@media (min-width: 1140px){.dcr-u0152o{padding-top:4px;}}.dcr-1mt0mpc{max-width:540px;color:var(--standfirst-text);font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;padding-bottom:8px;}.dcr-1mt0mpc li{margin-bottom:6px;padding-left:19px;}.dcr-1mt0mpc li p{display:inline;}.dcr-1mt0mpc li:before{display:inline-block;content:'';border-radius:50%;height:0.7em;width:0.7em;margin-right:7px;background-color:var(--standfirst-bullet);margin-left:-19px;}.dcr-1mt0mpc p:not(:last-child){margin-bottom:8px;}.dcr-1mt0mpc strong{font-weight:bold;}.dcr-1mt0mpc [data-dcr-style='bullet']{display:inline-block;content:'';border-radius:50%;height:13px;width:13px;margin-right:2px;background-color:var(--standfirst-bullet);}.dcr-1mt0mpc a{color:var(--standfirst-link-text);-webkit-text-decoration:none;text-decoration:none;border-bottom:1px solid var(--standfirst-link-border);-webkit-transition:border-color 0.15s ease-out;transition:border-color 0.15s ease-out;}.dcr-1mt0mpc li:before{height:15px;width:15px;}@media (min-width: 740px){.dcr-1mt0mpc{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:3px;}}@media (min-width: 740px){.dcr-1mt0mpc{padding-bottom:14px;}}.dcr-1mt0mpc a:hover{border-bottom:solid 1px var(--standfirst-link-border);}@media (max-width: 659.9px){.dcr-ich95x{margin-left:-20px;margin-right:-20px;}}@media (max-width: 479.9px){.dcr-ich95x{margin-left:-10px;margin-right:-10px;}}.dcr-194w08h{display:block;}.dcr-bjqdol{height:100%;}@media (min-width: 980px){.dcr-bjqdol{max-width:620px;}}@media (max-width: 659.9px){.dcr-1v9sla6{margin-left:-20px;margin-right:-20px;}}@media (max-width: 479.9px){.dcr-1v9sla6{margin-left:-10px;margin-right:-10px;}}.dcr-5oiine{padding-top:2px;}@media (min-width: 740px) and (max-width: 1139.9px){.dcr-5oiine{-webkit-order:3;-ms-flex-order:3;order:3;}}@media (max-width: 479.9px){.dcr-5oiine{padding-left:10px;padding-right:10px;}}@media (min-width: 480px){.dcr-5oiine{padding-left:20px;padding-right:20px;}}@media (min-width: 660px){.dcr-5oiine{padding-left:0px;padding-right:0px;}}.dcr-1kpcv08{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}@media (max-width: 1139.9px){.dcr-1kpcv08{-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}}.dcr-1cfpnlw{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;padding-bottom:8px;font-style:italic;color:var(--byline);}.dcr-1cfpnlw a{color:var(--byline-anchor);font-weight:700;-webkit-text-decoration:none;text-decoration:none;font-style:normal;}.dcr-1cfpnlw a:hover{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-1pexjb9{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:var(--dateline);padding-top:2px;margin-bottom:6px;}@media (max-width: 979.9px){.dcr-1pexjb9{color:var(--mobile-color);}}.dcr-1ybxn6r{list-style:none;cursor:pointer;}.dcr-1ybxn6r::-webkit-details-marker{display:none;}.dcr-u0h1qy:hover{-webkit-text-decoration:underline;text-decoration:underline;}.dcr-9dgpdq{margin-bottom:6px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;}.dcr-16lnb0w{border-top:1px solid var(--article-border);-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;padding-top:6px;}@media (max-width: 659.9px){.dcr-16lnb0w{margin-left:-10px;margin-right:-10px;padding-left:10px;padding-right:10px;}}@media (min-width: 1140px) and (max-width: 1299.9px){.dcr-16lnb0w{padding-bottom:6px;}}.dcr-bao4ku{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;box-sizing:border-box;border:none;background:transparent;cursor:pointer;-webkit-transition:.3s ease-in-out;transition:.3s ease-in-out;-webkit-text-decoration:none;text-decoration:none;white-space:nowrap;vertical-align:middle;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;height:36px;min-height:36px;padding:0 16px;border-radius:36px;padding-bottom:2px;background-color:transparent;color:#052962;border:1px solid #052962;-webkit-flex-direction:row-reverse;-ms-flex-direction:row-reverse;flex-direction:row-reverse;color:var(--share-button);width:105px;-webkit-transition:none;transition:none;border-color:var(--share-button-border);height:36px;}.dcr-bao4ku:disabled{cursor:not-allowed;}.dcr-bao4ku:focus{outline:0;}html:not(.src-focus-disabled) .dcr-bao4ku:focus{outline:5px solid #0077B6;outline-offset:3px;}.dcr-bao4ku:hover{background-color:#E5E5E5;}.dcr-bao4ku svg{-webkit-flex:0 0 auto;-ms-flex:0 0 auto;flex:0 0 auto;display:block;fill:currentColor;position:relative;width:26px;height:auto;}.dcr-bao4ku .src-button-space{width:8px;}.dcr-bao4ku svg{margin-left:-4px;}.dcr-bao4ku svg{fill:var(--share-button);-webkit-transition:inherit;transition:inherit;}.dcr-bao4ku:hover{background-color:var(--share-button);border-color:var(--share-button);color:var(--share-button-hover);}.dcr-bao4ku:hover svg{fill:var(--share-button-hover);}.dcr-1csot3r{border-top:1px solid var(--article-border);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;-webkit-box-pack:end;-ms-flex-pack:end;-webkit-justify-content:flex-end;justify-content:flex-end;}@media (min-width: 1140px) and (max-width: 1299.9px){.dcr-1csot3r{-webkit-box-pack:start;-ms-flex-pack:start;-webkit-justify-content:flex-start;justify-content:flex-start;}}@media (max-width: 659.9px){.dcr-1csot3r{margin-left:-10px;margin-right:-10px;padding-left:10px;padding-right:10px;}}.dcr-14baf59{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;-webkit-align-items:flex-start;-webkit-box-align:flex-start;-ms-flex-align:flex-start;align-items:flex-start;}.dcr-fu29fd{-webkit-align-self:start;-ms-flex-item-align:start;align-self:start;position:-webkit-sticky;position:sticky;top:0;z-index:9;}@media (min-width: 1140px){.dcr-fu29fd{margin-top:24px;margin-bottom:36px;margin-left:1px;margin-right:-1px;}}@media (min-width: 1300px){.dcr-fu29fd{margin-left:0;}}@media (max-width: 1139.9px){.dcr-1lhv23l{display:none;}}.dcr-1upb05m{z-index:5;grid-area:var(--grid-area);}@media (min-width: 1140px){.dcr-1iz7gbk{display:none;}}.dcr-1a4fred{-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;z-index:1;}@media (max-width: 1139.9px){.dcr-1a4fred{padding-left:0;}}@media (min-width: 980px){.dcr-1a4fred{width:620px;}}.dcr-1bwys2b{margin-top:0.75rem;}@media (min-width: 740px) and (max-width: 979.9px){.dcr-1bwys2b{padding-right:80px;}}.dcr-1bwys2b ol:not([data-ignore='global-ol-styling']){counter-reset:li;}.dcr-1bwys2b ol:not([data-ignore='global-ol-styling']) >li:before{font-family:GuardianTextEgyptian,"Guardian Text Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;line-height:1.15;content:counter(li);counter-increment:li;margin-right:0.25rem;float:left;}.dcr-1bwys2b strong{font-weight:bold;}.dcr-1bwys2b a:not([data-ignore='global-link-styling']){-webkit-text-decoration:none;text-decoration:none;border-bottom:1px solid var(--article-link-border);color:var(--article-link-text);}.dcr-1bwys2b a:not([data-ignore='global-link-styling']):hover{color:var(--article-link-text-hover);border-bottom:1px solid var(--article-link-border-hover);}.dcr-1q6n3e0{position:relative;}.dcr-1q6n3e0 .ad-slot-container{margin:12px auto;text-align:center;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;}@media (min-width: 740px){.dcr-1q6n3e0 .ad-slot-container{background-color:var(--ad-background);}}@media (max-width: 979.9px){.dcr-1q6n3e0 .ad-slot-container{clear:left;}}.dcr-1q6n3e0 .ad-slot-container .ad-slot--interscroller{overflow:hidden;position:relative;}.dcr-1q6n3e0 .ad-slot-container .ad-slot--interscroller .ad-slot__content{position:absolute;height:100%;left:0;top:0;right:0;z-index:-1;}.dcr-1q6n3e0 .ad-slot-container .ad-slot--interscroller::before{display:none;}@media (min-width: 980px){.dcr-1q6n3e0 .ad-slot-container--offset-right{float:right;max-width:300px;margin-right:-330px;background-color:transparent;}}@media (min-width: 1140px){.dcr-1q6n3e0 .ad-slot-container--offset-right{margin-right:-310px;}}@media (min-width: 1300px){.dcr-1q6n3e0 .ad-slot-container--offset-right{margin-right:-400px;}}@media (min-width: 740px){.dcr-1q6n3e0 .ad-slot{-webkit-flex:1;-ms-flex:1;flex:1;-webkit-align-self:flex-start;-ms-flex-item-align:flex-start;align-self:flex-start;}}.dcr-1q6n3e0 .ad-slot--inline:not(.ad-slot--rendered){min-height:221px;}@media (min-width: 980px){.dcr-1q6n3e0 .ad-slot--inline:not(.ad-slot--rendered){min-height:274px;}}@media (min-width: 980px){.dcr-1q6n3e0 .ad-slot--inline1:not(.ad-slot--rendered){min-height:374px;}}@media (max-width: 739.9px){.dcr-1q6n3e0 .ad-slot--top-above-nav:not(.ad-slot--rendered){min-height:221px;}}.dcr-1q6n3e0 .ad-slot--carrot{float:left;clear:both;width:140px;margin-right:20px;margin-bottom:4px;}@media (min-width: 1140px){.dcr-1q6n3e0 .ad-slot--carrot{position:relative;margin-left:-160px;width:140px;}}@media (min-width: 1300px){.dcr-1q6n3e0 .ad-slot--carrot{margin-left:-240px;width:220px;}}.dcr-1q6n3e0 .ad-slot__scroll{position:fixed;bottom:0;width:100%;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:24px;max-height:24px;background-color:var(--ad-background);padding-top:3px;border-top:1px solid var(--ad-border);color:var(--ad-labels-text);text-align:center;box-sizing:border-box;}.dcr-1q6n3e0 .ad-slot__scroll.visible{visibility:initial;}.dcr-1q6n3e0 .ad-slot__scroll.hidden{visibility:hidden;}.dcr-1q6n3e0 .ad-slot--interscroller[data-label-show='true']::before{content:'Advertisement';position:absolute;top:0;left:0;right:0;border:0;display:block;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:24px;max-height:24px;background-color:var(--ad-background);padding-top:3px;border-top:1px solid var(--ad-border);color:var(--ad-labels-text);text-align:center;box-sizing:border-box;}.dcr-1eu361v{margin-bottom:0.75rem;word-break:break-word;font-family:GuardianTextEgyptian,"Guardian Text Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.4;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;color:var(--textblock-text);}.dcr-1eu361v strong em,.dcr-1eu361v strong u{font-weight:bold;}.dcr-1eu361v ul{margin-bottom:0.75rem;}@media (min-width: 740px){.dcr-1eu361v ul{margin-bottom:1rem;}}.dcr-1eu361v li{margin-bottom:0.25rem;padding-left:1.25rem;display:flow-root;}.dcr-1eu361v li p{margin:-1.5rem 0 0 0;}.dcr-1eu361v:is(ul)>li:before{display:inline-block;content:'';border-radius:50%;height:0.75rem;width:0.75rem;background-color:#DCDCDC;margin-left:-1.25rem;margin-right:0.5rem;}.dcr-1eu361v sub{bottom:-0.25em;}.dcr-1eu361v sup{top:-0.5em;}.dcr-1eu361v sub,.dcr-1eu361v sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline;}.dcr-1eu361v [data-dcr-style='bullet']{display:inline-block;content:'';border-radius:50%;height:0.5rem;width:0.5rem;background-color:#C70000;}@media (max-width: 739.9px){.dcr-1eu361v{overflow-wrap:anywhere;word-wrap:break-word;}}.dcr-15rw6c2{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;float:left;font-size:7rem;line-height:5.75rem;text-transform:uppercase;box-sizing:border-box;margin-right:4px;vertical-align:text-top;}.dcr-1your1i{margin-bottom:4px;float:left;clear:left;width:8.75rem;margin-right:20px;}@media (max-width: 23.4rem){.dcr-1your1i{width:100%;box-sizing:border-box;}.dcr-1your1i img,.dcr-1your1i .avatar{display:none;}}@media (min-width: 740px){.dcr-1your1i{width:140px;}}@media (min-width: 1140px){.dcr-1your1i{position:relative;margin-left:-160px;width:140px;}}@media (min-width: 1300px){.dcr-1your1i{margin-left:-240px;width:220px;}}.dcr-1kyw41h{background-color:var(--rich-link-background);}.dcr-1kyw41h:hover{background-color:var(--rich-link-background-hover);}.dcr-1q5os9{display:contents;--expandingWrapper--background:#F6F6F6;--expandingWrapper--border:#121212;--expandingWrapper--collapseBackground:#FFFFFF;--expandingWrapper--collapseBackgroundHover:#E5E5E5;--expandingWrapper--collapseText:#121212;--expandingWrapper--collapseTextHover:#121212;--expandingWrapper--text:#121212;--expandingWrapper--horizontalRules:#DCDCDC;--expandingWrapper--expandBackground:#121212;--expandingWrapper--expandBackgroundHover:#454545;--expandingWrapper--expandText:#FFFFFF;--tabs--background:#F6F6F6;--tabs--text:#121212;--tabs--border:#999999;--tabs--inactiveBackground:#DCDCDC;--accordion-background:#F6F6F6;--accordion-title:#121212;--accordion-title-row-background:#FFFFFF;--accordion-title-row-border-top:#DCDCDC;--accordion-title-row-fill:#707070;--ad-background:#F6F6F6;--ad-background-article-inner:#F6F6F6;--ad-border:#DCDCDC;--ad-labels-text:#707070;--ad-support-banner-background:#EDEDED;--ad-support-banner-button-background:#052962;--ad-support-banner-button-text:#FFFFFF;--ad-support-banner-text:#052962;--affiliate-disclaimer-background:#F6F6F6;--affiliate-disclaimer-background-hover:#EDEDED;--age-warning-background:#FFE500;--age-warning-text:#121212;--age-warning-wrapper-background:transparent;--apps-epic-background:#F6F6F6;--apps-epic-border:#FFE500;--apps-epic-text:#121212;--apps-footer-background:#F6F6F6;--apps-footer-links-text:#121212;--apps-footer-links-text-hover:#1A1A1A;--article-background:#EFF1F2;--article-border:#DCDCDC;--article-inner-background:transparent;--article-link-border:#3F464A;--article-link-border-hover:#222527;--article-link-text:#595C5F;--article-link-text-hover:#222527;--article-meta-lines:#DCDCDC;--article-section-background:#FFFFFF;--article-section-title:#000000;--article-text:#121212;--audio-atom-background:#F6F6F6;--audio-atom-border:#DCDCDC;--audio-atom-icons:#C70000;--audio-atom-kicker:#C70000;--audio-atom-progress-bar:#999999;--avatar-background:#EDEDED;--avatar-background-colour:#EFF1F2;--block-quote-fill:#707070;--block-quote-link:#595C5F;--block-quote-text:#121212;--branding-border:#DCDCDC;--branding-label-text:#333333;--branding-link-text:#595C5F;--bullet-fill:#707070;--byline:#595C5F;--byline-anchor:#595C5F;--byline-background:#FFE500;--byline-hover:#3F464A;--byline-underline:inherit;--callout-highlight-background:#FFE500;--callout-highlight-text:#121212;--callout-prompt:#0077B6;--callout-submit-background:#052962;--callout-submit-background-hover:#234B8A;--callout-submit-text:#FFFFFF;--caption-link:#3F464A;--caption-overlay-text:#FFFFFF;--caption-photo-essay-main-media-text:#707070;--caption-text:#222527;--card-background:transparent;--card-background-hover:rgba(18, 18, 18, 0.1);--card-border-supporting:#DCDCDC;--card-border-top:#BABABA;--card-footer-text:#707070;--card-headline:#121212;--card-kicker-text:#C70000;--card-sublinks-background:#F6F6F6;--card-trail-text:#545454;--carousel-active-dot:#595C5F;--carousel-active-dot-hover:#595C5F;--carousel-arrow:#FFFFFF;--carousel-arrow-background:#000000;--carousel-arrow-background-disabled:#707070;--carousel-arrow-background-hover:#FFE500;--carousel-border:#DCDCDC;--carousel-chevron:#121212;--carousel-chevron-border:#BABABA;--carousel-chevron-border-disabled:rgba(186, 186, 186, 0.32);--carousel-chevron-disabled:rgba(18, 18, 18, 0.32);--carousel-chevron-hover:rgba(186, 186, 186, 0.2);--carousel-dot:#EDEDED;--carousel-dot-hover:#DCDCDC;--carousel-text:#121212;--carousel-title-highlight:#595C5F;--click-to-view-background:#F6F6F6;--click-to-view-border:#DCDCDC;--click-to-view-button:#052962;--click-to-view-button-hover:#234B8A;--click-to-view-button-text:#FFFFFF;--code-block-background:#f5f2f0;--code-block-text-shadow:#FFFFFF;--comment-count-fill:#3F464A;--comment-count-mobile-fill:#3F464A;--comment-form-header-background:#F6F6F6;--comment-form-input-background:#FFFFFF;--cricket-scoreboard-border-top:#005689;--cricket-scoreboard-divider:#DCDCDC;--cricket-scoreboard-link-text:#005689;--dateline:#707070;--dateline-mobile:#707070;--design-tag-background:#3F464A;--design-tag-text:#FFFFFF;--discussion-accent-text:#C70000;--discussion-background:#EDEDED;--discussion-border:#DCDCDC;--discussion-button-background-hover:#C70000;--discussion-button-text:#FFFFFF;--discussion-comment-underline:#DCDCDC;--discussion-link:#0077B6;--discussion-loading-background:#EDEDED;--discussion-loading-shimmer:#DCDCDC;--discussion-pagination-background:#FFFFFF;--discussion-pagination-border:#DCDCDC;--discussion-pagination-border-hover:#999999;--discussion-pagination-text:#707070;--discussion-pick-label-text:#121212;--discussion-pre-mod:#0077B6;--discussion-preview-background:#EDEDED;--discussion-primary-button-background:#AB0613;--discussion-report-background:#FFFFFF;--discussion-report-border:#545454;--discussion-report-button:#052962;--discussion-report-error-text:#C70000;--discussion-report-label-text:#121212;--discussion-report-success-text:#22874D;--discussion-section-background:#FFFFFF;--discussion-selected-background:#F6F6F6;--discussion-staff-label-text:#052962;--discussion-subdued:#707070;--discussion-text:#121212;--discussion-top-pick-background:#EDEDED;--discussion-top-pick-link:#0077B6;--drop-cap:#303538;--editorial-button-background:#3F464A;--editorial-button-background-hover:#595C5F;--editorial-button-border-hover:#595C5F;--editorial-button-text:#303538;--email-signup-button-background:#000000;--email-signup-button-hover:#333333;--email-signup-button-text:#FFFFFF;--expandable-atom-background:#EDEDED;--expandable-atom-border:#DCDCDC;--expandable-atom-button:#000000;--expandable-atom-button-fill:#FFFFFF;--expandable-atom-text-hover:#C70000;--expandable-marketing-card-background:#052962;--expandable-marketing-card-button-background:#FFFFFF;--expandable-marketing-card-fill-background:#EFF1F2;--expandable-marketing-card-svg-background:#FFFFFF;--expandable-marketing-card-svg-fill:#000000;--explainer-atom-accent:#121212;--explainer-atom-background:#F6F6F6;--feature-card-background:#EDEDED;--feature-card-footer-text:#DCDCDC;--feature-card-headline:#F6F6F6;--feature-card-kicker-text:#DCDCDC;--feature-card-trail-text:#DCDCDC;--filter-key-events-toggle-border-top:#DCDCDC;--follow-icon-background:#FFFFFF;--follow-icon-fill:#3F464A;--follow-text:#121212;--front-container-background:#FFFFFF;--front-page-background:#FFFFFF;--heading-line:#303538;--headline-background:transparent;--headline-blog-background:#EFF1F2;--headline-border:#DCDCDC;--headline-byline:inherit;--headline-colour:#121212;--headline-match-colour:#3F464A;--highlights-card-headline:#121212;--highlights-card-kicker-text:#C70000;--highlights-container-background:#F6F6F6;--highlights-container-border:#999999;--highlights-container-end-fade:transparent;--highlights-container-mid-fade:rgba(250, 250, 250, 0.6);--highlights-container-start-fade:#F6F6F6;--image-title-background:#595C5F;--interactive-atom-background:transparent;--interactive-block-background:#EFF1F2;--interactive-block-background-datawrapper:#EFF1F2;--interactive-contents-hover:#EDEDED;--key-event-background:#F6F6F6;--key-event-background-desktop:#EDEDED;--key-event-border:#707070;--key-event-bullet:#707070;--key-event-bullet-hover:#000000;--key-event-button:#121212;--key-event-button-fill:#FFFFFF;--key-event-button-hover:#FFD900;--key-event-text:#3F464A;--key-event-title:#121212;--kicker-background-live:#C70000;--kicker-pulsing-dot-live:rgba(246, 246, 246, 0.75);--kicker-text-live:#F6F6F6;--last-updated-text:#000000;--latest-links-dotted-line:#999999;--lightbox-divider:#595C5F;--link-kicker-text:#595C5F;--live-block-border-bottom:#DCDCDC;--live-block-border-top:#595C5F;--live-block-container-background:#FFFFFF;--masthead-accreditation-text:#FFE500;--masthead-nav-background:#052962;--masthead-nav-border:#506991;--masthead-nav-lines:#506991;--masthead-nav-link-text:#FFFFFF;--masthead-nav-link-text-hover:#FFE500;--masthead-top-bar-background:#041F4A;--masthead-top-bar-link-text:#FFFFFF;--masthead-top-bar-text:#FFFFFF;--masthead-top-bar-vertical-divider:#506991;--masthead-veggie-burger-background:#FFE500;--masthead-veggie-burger-background-hover:#FFD900;--masthead-veggie-burger-icon:#052962;--match-nav-background:#FFE500;--match-nav-text:#121212;--match-stats-background:#d9edf6;--match-tab-border:#DCDCDC;--match-tab-border-active:#005689;--mini-profiles-text-subdued:#707070;--most-viewed-description:#707070;--most-viewed-footer-hover:#F6F6F6;--most-viewed-headline:#121212;--most-viewed-tab-border:#3F464A;--nav-reader-revenue-link-text:#FFE500;--nav-search-bar-background:rgba(255, 255, 255, 0.1);--nav-search-bar-icon:#FFFFFF;--nav-search-bar-text:#FFFFFF;--numbered-list-heading:#121212;--numbered-list-links:#595C5F;--numbered-list-number:#707070;--numbered-list-title:#595C5F;--pagination-text:#3F464A;--pinned-post-background:#FFFFFF;--pinned-post-border:#3F464A;--podcast-meta-button-background:#333333;--podcast-meta-button-background-hover:#1A1A1A;--podcast-meta-button-text:#DCDCDC;--podcast-meta-title:#F6F6F6;--privacy-text-regular:#121212;--privacy-text-supporting:#000000;--privacy-text-supporting-subdued:#707070;--pullquote-background:#EFF1F2;--pullquote-border:#DCDCDC;--pullquote-icon:#999999;--pullquote-text:#121212;--quiz-atom-answers-background:#F6F6F6;--quiz-atom-answers-hover:#DCDCDC;--quiz-atom-check-mark:#000000;--quiz-atom-incorrect-answer-background:#C70000;--quote-icon-fill:#595C5F;--recaptcha-border:#121212;--recaptcha-button:#000000;--recaptcha-button-hover:#333333;--recaptcha-button-text:#FFFFFF;--recommendation-count:#F6F6F6;--recommendation-count-arrow:#707070;--recommendation-count-arrow-selected:#FFFFFF;--recommendation-count-selected:#052962;--rich-link-background:#F6F6F6;--rich-link-background-hover:#EDEDED;--rich-link-border:#595C5F;--rich-link-branding-text:#707070;--rich-link-fill:#595C5F;--rich-link-header:#000000;--rich-link-text:#595C5F;--section-background:transparent;--section-background-left:transparent;--section-border:#DCDCDC;--section-border-primary:#333333;--section-border-secondary:#BABABA;--section-date:#C70000;--section-description:#707070;--section-title-background:transparent;--section-toggle-button:#707070;--section-toggle-button-hover:#121212;--series-title-background:#FFE500;--series-title-match-text:#3F464A;--series-title-text:#3F464A;--share-button:#3F464A;--share-button-border:#DCDCDC;--share-button-copied:#121212;--share-button-hover:#FFFFFF;--share-button-liveblog-mobile-meta:#3F464A;--share-button-xsmall-border:#DCDCDC;--sign-in-link:#3F464A;--sign-in-link-underline:#DCDCDC;--slideshow-caption:#FFFFFF;--slideshow-pagination-dot:rgba(18, 18, 18, 0.2);--slideshow-pagination-dot-active:#121212;--staff-contributor-badge:#052962;--staff-contributor-badge-text:#FFFFFF;--staff-pick-badge:#121212;--staff-pick-badge-text:#FFFFFF;--standfirst-background:#EFF1F2;--standfirst-border:#DCDCDC;--standfirst-bullet:#DCDCDC;--standfirst-link-border:#595C5F;--standfirst-link-text:#595C5F;--standfirst-text:#000000;--star-rating-background:#FFE500;--star-rating-fill:#121212;--straight-lines:#DCDCDC;--stuck-background:#FFFFFF;--sub-meta-background:#EFF1F2;--sub-meta-label-text:#3F464A;--sub-meta-text:#222527;--sub-meta-text-hover:#FFFFFF;--sub-nav-border:#595C5F;--sub-nav-link-footer:#121212;--sub-nav-link-header:#121212;--sub-nav-link-hover:#222527;--sub-nav-more:#999999;--subheading-text:#121212;--summary-event-bullet:#595C5F;--summary-event-bullet-hover:#303538;--syndication-button-border:#DCDCDC;--syndication-button-hover:#DCDCDC;--syndication-button-text:#222527;--table-of-contents:#121212;--table-of-contents-border:#DCDCDC;--tabs-input:#FFFFFF;--tag-page-chevron:#000000;--textblock-text:inherit;--timeline-atom-bullet:#121212;--timeline-atom-highlight-text:#000000;--timeline-atom-highlight-text-background:#FFE500;--timeline-bullet:#303538;--timeline-event-border:#DCDCDC;--treat-background:#000000;--treat-text:#F6F6F6;--trending-topics-background:#FFFFFF;--trending-topics-separator:#DCDCDC;--trending-topics-text:#333333;--weather-icon:#F6F6F6;--witness-title-author:#595C5F;--witness-title-icon:#595C5F;--witness-title-text:#595C5F;--youtube-overlay-kicker:#ABC2C9;}.dcr-1m887w9{color:inherit;-webkit-text-decoration:none;text-decoration:none;}.dcr-1lhuo3r{border-top:1px;border-top-style:solid;border-top-color:var(--rich-link-border);}.dcr-ut4tvs{padding-top:2px;padding-right:5px;padding-left:5px;padding-bottom:5px;}.dcr-1h5b6rb{padding-bottom:10px;color:var(--rich-link-header);}.dcr-1dgt1gs{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;padding-top:1px;padding-bottom:1px;}@media (min-width: 1300px){.dcr-1dgt1gs{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:3px;font-weight:400;padding-bottom:5px;}}.dcr-eurq8n{fill:var(--rich-link-fill);padding-top:2px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;-webkit-box-pack:start;-ms-flex-pack:start;-webkit-justify-content:flex-start;justify-content:flex-start;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;padding-bottom:6px;}.dcr-fkf7vq{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:0.875rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;color:var(--rich-link-text);padding-left:4px;-webkit-text-decoration:none;text-decoration:none;}@media (min-width: 1300px){.dcr-fkf7vq{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;}}.dcr-z9ge1j{height:1px;border:0;margin-bottom:3px;background-color:#DCDCDC;width:150px;margin-left:0px;margin-top:48px;}@media (min-width: 740px){.dcr-z9ge1j{margin-left:-20px;}}@media (min-width: 1140px){.dcr-z9ge1j{margin-left:-10px;}}.dcr-5h0uf4{margin-top:12px;margin-bottom:12px;position:relative;}@media (min-width: 1140px){.dcr-5h0uf4{margin-left:-160px;}}@media (min-width: 1300px){.dcr-5h0uf4{margin-left:-240px;}}.dcr-1pvqcrw{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;line-height:135%;padding-top:6px;overflow-wrap:break-word;color:var(--caption-text);margin-bottom:6px;}@media (min-width: 1140px){.dcr-1pvqcrw{width:140px;position:absolute;}}@media (min-width: 1300px){.dcr-1pvqcrw{width:220px;}}.dcr-a2pvoh{clear:left;margin-top:12px;margin-bottom:12px;}@media (min-width: 740px){.dcr-a2pvoh{position:relative;float:left;width:300px;margin-right:20px;line-height:0;margin-top:8px;}}@media (min-width: 1140px){.dcr-a2pvoh{margin-left:-160px;}}@media (min-width: 1300px){.dcr-a2pvoh{width:380px;margin-left:-240px;}}.dcr-1sv232j{position:absolute;right:0;margin:6px;border-radius:50%;border:none;cursor:pointer;background:rgba(18, 18, 18, 0.8);opacity:0;height:32px;width:32px;}.dcr-1sv232j svg{margin-top:3px;fill:#FFFFFF;}@media (max-width: 739.9px){.dcr-1sv232j{padding:0;}}@media (min-width: 740px){.dcr-1sv232j:hover{-webkit-filter:brightness(85%);filter:brightness(85%);opacity:0.8;}.dcr-1sv232j:focus{opacity:0.7;}}.dcr-1sv232j svg{height:20px;width:20px;}.dcr-1eyan6r{color:var(--pullquote-text);font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:3px;position:relative;background-color:var(--pullquote-background);margin-top:2px;margin-right:10px;margin-bottom:14px;clear:left;float:left;}@media (min-width: 660px){.dcr-1eyan6r{width:40%;}}@media (min-width: 1140px){.dcr-1eyan6r{position:relative;border:1px solid var(--pullquote-border);padding:2px 10px 16px 10px;width:240px;margin-left:-100px;margin-top:5px;}}.dcr-scql1j{height:0.7em;width:auto;vertical-align:baseline;margin-right:4px;}.dcr-zzndwp{display:inline;font-style:italic;}.dcr-w9py1s{margin-bottom:14px;font-family:GuardianTextEgyptian,"Guardian Text Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.4;font-weight:400;font-style:italic;--source-text-decoration-thickness:2px;color:var(--block-quote-text);margin-top:16px;margin-right:0;margin-bottom:16px;margin-left:33px;}.dcr-w9py1s p{margin-bottom:8px;}.dcr-w9py1s a{color:var(--article-link-text);-webkit-text-decoration:none;text-decoration:none;border-bottom:1px solid var(--article-link-border);}.dcr-w9py1s a:hover{color:var(--article-link-text-hover);border-bottom:1px solid var(--article-link-border-hover);}.dcr-65xb9q{display:block;}.dcr-fckw05{padding-bottom:36px;}@media (max-width: 979.9px){.dcr-fckw05{padding-bottom:20px;}}.dcr-1slmqmw{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;display:block;color:var(--sub-meta-label-text);margin-bottom:8px;}.dcr-1jl528t{padding-bottom:12px;margin-bottom:6px;border-bottom:1px solid var(--article-border);}.dcr-1yfsxuc{list-style:none;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;gap:1.5rem 0.25rem;background-image:repeating-linear-gradient( to bottom, var(--sub-meta-background) 0px, var(--sub-meta-background) 36px, transparent 36px, transparent 37px, var(--sub-meta-background) 37px, var(--sub-meta-background) 48px ),repeating-linear-gradient( to right, var(--article-border) 0px, var(--article-border) 3px, transparent 3px, transparent 5px );-webkit-background-position:top;background-position:top;background-repeat:no-repeat;}.dcr-1yfsxuc li::before{content:'\200B';display:block;height:0;width:0;}.dcr-ncdwh2{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;border:1px solid var(--sub-meta-text);border-radius:12px;padding:2px 9px;}.dcr-ncdwh2:hover{background-color:var(--sub-meta-text);}.dcr-ncdwh2:hover a{color:var(--sub-meta-text-hover);}.dcr-ncdwh2 a{position:relative;display:block;-webkit-text-decoration:none;text-decoration:none;}.dcr-1gwziyt{-webkit-text-decoration:none;text-decoration:none;color:var(--sub-meta-text);}.dcr-nu129i{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;}.dcr-zhx6xs >a{font-weight:normal;}.dcr-14rjinq{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;box-sizing:border-box;border:none;background:transparent;cursor:pointer;-webkit-transition:.3s ease-in-out;transition:.3s ease-in-out;-webkit-text-decoration:none;text-decoration:none;white-space:nowrap;vertical-align:middle;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.875rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;height:24px;min-height:24px;padding:0 12px;border-radius:24px;padding-bottom:1px;background-color:transparent;color:var(--syndication-button-text);border:1px solid var(--syndication-button-border);}.dcr-14rjinq:disabled{cursor:not-allowed;}.dcr-14rjinq:focus{outline:0;}html:not(.src-focus-disabled) .dcr-14rjinq:focus{outline:5px solid #0077B6;outline-offset:3px;}.dcr-14rjinq:hover{background-color:var(--syndication-button-hover);}.dcr-10el5c8{position:absolute;top:0;right:0;z-index:4;grid-area:var(--grid-area);}@supports (display: grid){.dcr-10el5c8{position:relative;}}.dcr-jwg3xc{padding-top:6px;height:100%;}@media (min-width: 980px){.dcr-jwg3xc{margin-left:20px;margin-right:-20px;}}@media (min-width: 1140px){.dcr-jwg3xc{margin-left:0px;margin-right:0px;}}@media (max-width: 979.9px){.dcr-1hko8ef{display:none;}}@media (min-width: 980px){.dcr-1hko8ef{height:100%;display:block;-webkit-flex-basis:300px;-ms-flex-preferred-size:300px;flex-basis:300px;-webkit-box-flex:0;-webkit-flex-grow:0;-ms-flex-positive:0;flex-grow:0;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;}}.dcr-1e3xwa3{height:min(100%, 1600px);display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}.dcr-7caenu{min-height:624px;}.dcr-1jakjiw{background-color:var(--ad-background-article-inner);max-width:300px;position:-webkit-sticky;position:sticky;top:0;}.dcr-1ykr3rf{position:relative;margin:auto;}@media (min-width: 740px){.dcr-1ykr3rf{max-width:740px;}}@media (min-width: 980px){.dcr-1ykr3rf{max-width:980px;}}@media (min-width: 1140px){.dcr-1ykr3rf{max-width:1140px;}}@media (min-width: 1300px){.dcr-1ykr3rf{max-width:1300px;}}.dcr-17n294h{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;}.dcr-17n294h.ad-slot-container--centre-slot{width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;margin:0 auto;}.dcr-ivr0sq{position:relative;min-height:274px;margin:12px auto;max-width:1300px;overflow:hidden;}@media (min-width: 980px){.dcr-ivr0sq{margin:0;padding-bottom:20px;min-height:294px;}}@media (min-width: 660px) and (max-width: 979.9px){.dcr-ivr0sq:not(.ad-slot--fluid).ad-slot--rendered{display:none;}}.dcr-1ntgn2k{width:100%;background:var(--article-section-background);}.dcr-1vf50t{position:relative;margin:auto;border-top:1px solid;border-color:var(--article-border);padding-left:10px;padding-right:10px;}@media (min-width: 740px){.dcr-1vf50t{max-width:740px;}}@media (min-width: 980px){.dcr-1vf50t{max-width:980px;}}@media (min-width: 1140px){.dcr-1vf50t{max-width:1140px;}}@media (min-width: 1300px){.dcr-1vf50t{max-width:1300px;}}@media (min-width: 740px){.dcr-1vf50t{border-left:1px solid;border-right:1px solid;border-color:var(--article-border);}}@media (min-width: 480px){.dcr-1vf50t{padding-left:20px;padding-right:20px;}}.dcr-ri3hap{-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;}.dcr-p0nyl2{min-height:340px;width:100%;margin-bottom:px;margin-left:px;background-color:var(--article-background);}.dcr-u8qikl{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;-ms-flex-positive:1;}.dcr-u6x71m{position:relative;padding-right:10px;padding-bottom:36px;}@media (max-width: 1139.9px){.dcr-u6x71m{display:none;}}@media (min-width: 1140px) and (max-width: 1299.9px){.dcr-u6x71m{-webkit-flex-basis:151px;-ms-flex-preferred-size:151px;flex-basis:151px;-webkit-box-flex:0;-webkit-flex-grow:0;-ms-flex-positive:0;flex-grow:0;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;}}@media (min-width: 1300px){.dcr-u6x71m{-webkit-flex-basis:230px;-ms-flex-preferred-size:230px;flex-basis:230px;-webkit-box-flex:0;-webkit-flex-grow:0;-ms-flex-positive:0;flex-grow:0;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;}}.dcr-yg4zrc{height:100%;}.dcr-k1vhee{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;height:100%;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;}.dcr-8ro32r{padding-top:4px;padding-bottom:4px;}.dcr-aep3nc{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.25rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;padding-bottom:4px;}.dcr-xodiwl{color:var(--discussion-subdued);}.dcr-1hfm9sp{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.0625rem;line-height:1.15;font-weight:500;font-style:normal;--source-text-decoration-thickness:2px;color:var(--discussion-subdued);padding-bottom:4px;}.dcr-q3hb80{color:var(--sign-in-link);-webkit-text-decoration:none;text-decoration:none;border-bottom:1px solid var(--sign-in-link-underline);-webkit-transition:border-color 0.15s ease-out;transition:border-color 0.15s ease-out;}.dcr-q3hb80:hover{border-color:var(--sign-in-link);}.dcr-1t1ldv1{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;width:100%;margin-top:8px;margin-bottom:36px;}.dcr-f68shw{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:end;-ms-flex-pack:end;-webkit-justify-content:flex-end;justify-content:flex-end;}@media (max-width: 1139.9px){.dcr-f68shw{-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;}}@media (min-width: 1140px){.dcr-1giivcq{display:none;}}.dcr-1vig65l{width:100%;max-width:100%;}@media (min-width: 1140px){.dcr-1vig65l{padding-left:10px;}}.dcr-ktu60b{min-height:324px;width:100%;margin-bottom:px;margin-left:px;background-color:#EDEDED;-webkit-animation:animation-yk1vcf 2s infinite linear;animation:animation-yk1vcf 2s infinite linear;background:linear-gradient( to right, #EDEDED 4%, white 25%, #EDEDED 36% );-webkit-background-size:1500px 100%;background-size:1500px 100%;}.dcr-45o43m{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;gap:100vh;height:100%;}.dcr-1gx3men{position:relative;padding-right:10px;}@media (max-width: 1139.9px){.dcr-1gx3men{display:none;}}@media (min-width: 1140px) and (max-width: 1299.9px){.dcr-1gx3men{-webkit-flex-basis:151px;-ms-flex-preferred-size:151px;flex-basis:151px;-webkit-box-flex:0;-webkit-flex-grow:0;-ms-flex-positive:0;flex-grow:0;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;}}@media (min-width: 1300px){.dcr-1gx3men{-webkit-flex-basis:230px;-ms-flex-preferred-size:230px;flex-basis:230px;-webkit-box-flex:0;-webkit-flex-grow:0;-ms-flex-positive:0;flex-grow:0;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;}}.dcr-1atljbz{margin-left:0;}.dcr-dah9rt{font-family:"GH Guardian Headline","Guardian Egyptian Web",Georgia,serif;font-size:1.5rem;line-height:1.15;font-weight:700;font-style:normal;--source-text-decoration-thickness:3px;padding-bottom:4px;padding-top:6px;overflow-wrap:break-word;}.dcr-fossqd{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;width:100%;}@media (min-width: 1300px){.dcr-fossqd{margin-right:68px;}}.dcr-ddf1wi{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}@media (min-width: 980px){.dcr-ddf1wi{-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}}.dcr-6m88po{margin-left:-1px;}@media (min-width: 980px) and (max-width: 1299.9px){.dcr-6m88po{min-width:627px;}}@media (min-width: 1300px){.dcr-6m88po{min-width:718px;}}.dcr-5mqa0r{min-height:360px;width:100%;margin-bottom:px;margin-left:px;background-color:#EDEDED;-webkit-animation:animation-yk1vcf 2s infinite linear;animation:animation-yk1vcf 2s infinite linear;background:linear-gradient( to right, #EDEDED 4%, white 25%, #EDEDED 36% );-webkit-background-size:1500px 100%;background-size:1500px 100%;}.dcr-1pt7toy{margin-top:9px;}@media (min-width: 980px){.dcr-1pt7toy{margin-top:0;margin-left:10px;}}@media (min-width: 1140px){.dcr-1pt7toy{margin-top:10px;}}@media (min-width: 1300px){.dcr-1pt7toy{margin-left:16px;}}{margin-top:2px;}{margin-top:36px;}{margin-top:9px;}{margin-top:38px;}{margin-top:54px;}.dcr-j5zpwt{min-height:274px;min-width:300px;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;max-width:300px;margin:0 auto;}@media (min-width: 740px){.dcr-j5zpwt{max-width:700px;}}@media (min-width: 980px){.dcr-j5zpwt{max-width:300px;}}.dcr-1qjcfie{position:relative;min-height:274px;min-width:300px;max-width:300px;text-align:center;}@media (min-width: 740px){.dcr-1qjcfie{max-width:700px;}}@media (min-width: 980px){.dcr-1qjcfie{width:auto;max-width:300px;}}.dcr-1q1v1nj{position:relative;margin:auto;border-top:1px solid;border-color:var(--article-border);}@media (min-width: 740px){.dcr-1q1v1nj{max-width:740px;}}@media (min-width: 980px){.dcr-1q1v1nj{max-width:980px;}}@media (min-width: 1140px){.dcr-1q1v1nj{max-width:1140px;}}@media (min-width: 1300px){.dcr-1q1v1nj{max-width:1300px;}}@media (min-width: 740px){.dcr-1q1v1nj{border-left:1px solid;border-right:1px solid;border-color:var(--article-border);}}.dcr-a4rp9m{height:36px;overflow:hidden;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;justify-content:space-between;}@media (min-width: 740px){.dcr-a4rp9m{height:42px;}}.dcr-1gt8egs{list-style:none;padding:0 5px;}@media (min-width: 480px){.dcr-1gt8egs{padding:0 15px;}}.dcr-1gt8egs li{float:left;display:block;}.dcr-ybq1b6:after{content:'';display:inline-block;width:0;height:0;border-top:6px solid transparent;border-bottom:6px solid transparent;border-left:10px solid var(--sub-nav-border);margin-top:12px;margin-left:2px;}@media (min-width: 740px){.dcr-ybq1b6:after{margin-top:16px;}}.dcr-lgyw9b{float:left;-webkit-text-decoration:none;text-decoration:none;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;font-size:14px;font-weight:500;color:var(--sub-nav-link);padding:0 5px;height:36px;line-height:36px;}.dcr-lgyw9b:hover{color:var(--sub-nav-link-hover);}.dcr-lgyw9b:focus{line-height:26px;height:26px;margin-top:5px;}@media (min-width: 740px){.dcr-lgyw9b:focus{height:32px;line-height:32px;}}@media (min-width: 740px){.dcr-lgyw9b{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;font-size:16px;}}@media (min-width: 740px){.dcr-lgyw9b{height:42px;line-height:42px;}}.dcr-bnuca0{position:relative;margin:auto;border-top:1px solid;border-color:var(--article-border);}@media (min-width: 740px){.dcr-bnuca0{max-width:740px;}}@media (min-width: 980px){.dcr-bnuca0{max-width:980px;}}@media (min-width: 1140px){.dcr-bnuca0{max-width:1140px;}}@media (min-width: 1300px){.dcr-bnuca0{max-width:1300px;}}.dcr-1hmrwdw{background-color:#052962;color:#FFFFFF;padding-bottom:6px;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;}.dcr-1ris6nf{border-left:1px solid #506991;border-right:1px solid #506991;padding-top:8px;position:relative;padding-left:10px;}.dcr-1ris6nf:after{content:'';display:table;clear:both;}@media (min-width: 480px){.dcr-1ris6nf{padding-left:20px;}}.dcr-1ris6nf >ul{clear:none;}.dcr-1ris6nf >ul:after{display:none;}.dcr-1xyi04h{display:grid;-webkit-column-gap:12px;column-gap:12px;grid-template-areas:'signup' 'links' 'acknowledgment';clear:both;width:100%;padding:0 10px;position:relative;border:1px solid #506991;}@media (min-width: 980px){.dcr-1xyi04h{grid-template-columns:min-content;grid-template-areas:'signup links' 'acknowledgment links';}}@media (min-width: 480px){.dcr-1xyi04h{padding:0 20px;}}.dcr-1wf840d{grid-area:signup;padding-top:8px;margin-bottom:12px;}@media (min-width: 980px){.dcr-1wf840d{width:247px;}}@media (min-width: 1140px){.dcr-1wf840d{width:298px;}}@media (min-width: 1300px){.dcr-1wf840d{width:458px;}}.dcr-u54heg{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-box-pack:center;-ms-flex-pack:center;-webkit-justify-content:center;justify-content:center;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;box-sizing:border-box;border:none;background:transparent;cursor:pointer;-webkit-transition:.3s ease-in-out;transition:.3s ease-in-out;-webkit-text-decoration:none;text-decoration:none;white-space:nowrap;vertical-align:middle;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:1.0625rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;height:36px;min-height:36px;padding:0 16px;border-radius:36px;padding-bottom:2px;background-color:#052962;color:#FFFFFF;color:#052962;background-color:#FFFFFF;margin-top:12px;}.dcr-u54heg:disabled{cursor:not-allowed;}.dcr-u54heg:focus{outline:0;}html:not(.src-focus-disabled) .dcr-u54heg:focus{outline:5px solid #0077B6;outline-offset:3px;}.dcr-u54heg:hover{background-color:#234B8A;}.dcr-u54heg svg{-webkit-flex:0 0 auto;-ms-flex:0 0 auto;flex:0 0 auto;display:block;fill:currentColor;position:relative;width:26px;height:auto;}.dcr-u54heg .src-button-space{width:8px;}.dcr-u54heg svg{margin-right:-4px;}.dcr-u54heg:hover{background-color:#DCDCDC;}.dcr-1ms2xl4{grid-area:links;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;}@media (max-width: 979.9px){.dcr-1ms2xl4{border-top:1px solid #506991;}}.dcr-1ms2xl4 ul{width:50%;border-left:1px solid #506991;padding:12px 0 0 10px;}.dcr-1ms2xl4 ul:nth-of-type(1){border-left:0 none;}@media (max-width: 739.9px){.dcr-1ms2xl4 ul{clear:left;}.dcr-1ms2xl4 ul:nth-of-type(odd){border-left:0;padding-left:0;}.dcr-1ms2xl4 ul:nth-of-type(3){padding-top:0;}.dcr-1ms2xl4 ul:nth-of-type(4){padding-top:0;}}@media (min-width: 740px){.dcr-1ms2xl4 ul{margin:0 10px 36px 0;width:150px;}}@media (min-width: 980px){.dcr-1ms2xl4 ul:nth-of-type(1){border-left:1px solid #506991;}}.dcr-4coeh{color:inherit;-webkit-text-decoration:none;text-decoration:none;padding-bottom:12px;display:block;line-height:19px;}.dcr-4coeh:hover{-webkit-text-decoration:underline;text-decoration:underline;color:#FFE500;}.dcr-1v06yj3{border-left:1px solid #506991;-webkit-flex:1;-ms-flex:1;flex:1;padding:12px 0 0 10px;margin:0 10px 36px 0;width:calc(50% - 10px);}@media (max-width: 739.9px){.dcr-1v06yj3{width:50%;border-top:1px solid #506991;}}.dcr-1xnlu54{background-color:#052962;padding:0 5px;position:absolute;bottom:-21px;right:20px;}.dcr-1bljy3y{-webkit-text-decoration:none;text-decoration:none;color:#FFFFFF;font-weight:bold;line-height:42px;}.dcr-1bljy3y:hover{color:#FFE500;}.dcr-1bljy3y:hover .icon-container{background-color:#FFE500;}.dcr-6ottnt{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.9375rem;line-height:1.3;font-weight:700;font-style:normal;--source-text-decoration-thickness:2px;padding-right:5px;}.dcr-18yycfp{position:relative;float:right;border-radius:100%;background-color:#FFFFFF;cursor:pointer;height:42px;min-width:42px;}.dcr-13lm9u3:before{position:absolute;top:6px;bottom:0;left:0;right:0;margin:auto;border:2px solid #052962;border-bottom:0;border-right:0;content:'';height:12px;width:12px;-webkit-transform:rotate(45deg);-moz-transform:rotate(45deg);-ms-transform:rotate(45deg);transform:rotate(45deg);}.dcr-1slcfay{font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;padding:12px;padding-left:20px;}@media (max-width: 739.9px){.dcr-1slcfay{margin-top:11px;}}.dcr-1wna1tt{position:fixed!important;bottom:0;z-index:30!important;max-height:90vh;overflow:auto;width:100%!important;background:none!important;top:auto!important;}.dcr-bqcudp{position:fixed;bottom:0;width:320px;margin:0 auto;right:0;left:0;z-index:23;width:100%;text-align:center;background-color:#F6F6F6;}@media (min-width: 660px){.dcr-bqcudp{display:none;}}.dcr-bqcudp .ad-slot__close-button{display:none;position:absolute;right:3px;top:-21px;padding:0;border:0;height:21px;width:21px;background-color:transparent;}.dcr-bqcudp .ad-slot__close-button svg{height:0.75rem;width:0.75rem;stroke:#121212;fill:#121212;stroke-linecap:round;stroke-width:0;text-align:center;}.dcr-bqcudp .ad-slot--mobile-sticky .ad-slot__close-button{display:block;}.dcr-bqcudp .ad-slot__close-button__x{stroke:#121212;fill:transparent;stroke-linecap:round;stroke-width:2;text-align:center;}.dcr-bqcudp .ad-slot:not[data-label-show='true']::before{content:'';display:block;height:24px;visibility:hidden;}.dcr-bqcudp .ad-slot[data-label-show='true']::before{content:'Advertisement';display:block;position:relative;font-family:GuardianTextSans,"Guardian Text Sans Web","Helvetica Neue",Helvetica,Arial,"Lucida Grande",sans-serif;font-size:0.75rem;line-height:1.3;font-weight:400;font-style:normal;--source-text-decoration-thickness:2px;height:24px;max-height:24px;background-color:var(--ad-background);padding-top:3px;border-top:1px solid var(--ad-border);color:var(--ad-labels-text);text-align:center;box-sizing:border-box;}.dcr-bqcudp .ad-slot[data-label-show='true']::before{padding-left:calc((100% - 320px) / 2);padding-right:calc((100% - 320px) / 2);}</style> <link rel="stylesheet" media="print" href="https://assets.guim.co.uk/static/frontend/css/print.css"> </head> <body class=""> <a href="#maincontent" data-link-name="skip : main content" class="dcr-1gpubb">Skip to main content</a><a href="#navigation" data-link-name="skip : navigation" class="dcr-1gpubb">Skip to navigation</a><gu-island name="LightboxLayout" priority="feature" deferUntil="hash" props="{"format":{"design":10,"display":2,"theme":0},"images":[{"masterUrl":"http://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg","width":1020,"height":612,"elementId":"8689eb50-1196-4f42-838a-9bcbf272d9a4","displayCredit":true,"alt":"John Horton Conway","credit":"Photograph: Hollandse Hoogte/Eyevine","caption":"John Horton Conway and his Leech lattice doodle.","position":1},{"masterUrl":"https://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg","width":1360,"height":2040,"elementId":"873fde0b-19a3-4643-9952-84a01486ce5b","displayCredit":true,"alt":"A cartoon of Conway.","credit":"Photograph: Simon J Fraser","caption":"A cartoon of Conway.","position":2},{"masterUrl":"https://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg","width":1360,"height":2040,"elementId":"a5dbfa99-89f0-4cb1-83f6-dcd8e3259d35","displayCredit":true,"alt":"Leech lattice doodle","credit":"Photograph: John Horton Conway","caption":"Conway’s Leech lattice doodle.","position":3},{"masterUrl":"https://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg","width":2060,"height":1236,"elementId":"e4aae295-8537-4bbc-9304-6cd2ce9ee47b","displayCredit":true,"alt":"Conway playing Game of Life.","credit":"Photograph: Kelvin Brodie/the Sun","caption":"Conway playing Game of Life, which he invented in 1970.","position":4}]}"><div id="gu-lightbox" aria-modal="true" role="dialog" hidden class="dcr-1e4oyvk"><div class="dcr-os2q47"><nav class="dcr-h4unms"><button type="button" title="Close [ESC or Q]" class="close dcr-1v07sbc"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M12.015 14.042 20.707 22 22 20.709 14.06 12 22 3.291 20.707 2l-8.692 7.958L3.293 2.03 2 3.321 9.97 12 2 20.679l1.293 1.291z"></path></svg><span class="dcr-ybr5tf">Close dialogue</span></button><span class="dcr-n4pnam"><span aria-hidden="true" data-testid="lightbox-selected" class="dcr-9ww4qd"><span class="selected">1</span><span class="dcr-8mhfnx">/</span><span class="dcr-tviv3x">4</span></span></span><button type="button" title="Next image [→]" class="next dcr-pnu31o"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M1 12.956h18.274l-7.167 8.575.932.932L23 12.478v-.956l-9.96-9.985-.932.932 7.166 8.575H1z"></path></svg><span class="dcr-ybr5tf">Next image</span></button><button type="button" title="Previous image [←]" class="previous dcr-1c9urh0"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 11.045H4.726l7.167-8.576-.932-.932L1 11.522v.956l9.96 9.984.932-.931-7.166-8.575H23z"></path></svg><span class="dcr-ybr5tf">Previous image</span></button><button type="button" title="Toggle caption [i]" class="info dcr-43tvi7"><svg xmlns="http://www.w3.org/2000/svg" width="9" height="24" viewBox="0 0 9 24"><path fill="#FFFFFF" d="M.3 22L3.9 9.1H1.3l.4-1.4 5.6-.9.3.3-4.4 14.8H6L5.6 23c-.9.4-2.8.9-4.1.9-1.1 0-1.7-.5-1.2-1.9zM5.5 2C5.5.9 6.4.1 7.3.1c1 0 1.6.7 1.6 1.5 0 1.1-.9 1.9-1.8 1.9-1 .1-1.6-.6-1.6-1.5z"></path></svg><span class="dcr-ybr5tf">Toggle caption</span></button></nav></div></div></gu-island><gu-island name="LightboxHash" priority="feature" deferUntil="idle" props="{}"></gu-island><gu-island name="FocusStyles" priority="enhancement" deferUntil="idle" props="{}"></gu-island><a href="#navigation" data-link-name="skip : navigation" class="dcr-1gpubb">Skip to navigation</a><gu-island name="AlreadyVisited" priority="feature" deferUntil="idle" props="{}"></gu-island><gu-island name="Metrics" priority="critical" props="{"commercialMetricsEnabled":true,"tests":{}}"></gu-island><gu-island name="BrazeMessaging" priority="feature" deferUntil="idle" props="{"idApiUrl":"https://idapi.theguardian.com"}"></gu-island><gu-island name="ReaderRevenueDev" priority="feature" deferUntil="idle" props="{"shouldHideReaderRevenue":false}"></gu-island><gu-island name="SetABTests" priority="critical" props="{"abTestSwitches":{"abSignInGateMainVariant":true,"abGpidPrebidAdUnits":true,"abUsaExpandableMarketingCard":true,"abOnwardsContentArticle":false,"abSignInGateMainControl":true,"abOptOutFrequencyCap":true,"absoluteServerTimes":false,"abAdBlockAsk":false,"abNewHeaderBiddingEndpoint":true},"pageIsSensitive":false,"isDev":false,"serverSideTests":{}}"></gu-island><gu-island name="SetAdTargeting" priority="critical" props="{"adTargeting":{"customParams":{"sens":"f","si":"f","vl":0,"cc":"INT","s":"science","inskin":"f","se":["the-long-read"],"ct":"article","su":["0"],"edition":"int","tn":["features"],"p":"ng","k":["mathematics","princeton-university","science","education","us-news"],"sh":"https://www.theguardian.com/p/4aq42","co":["siobhan-roberts"],"url":"/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","pa":"f","urlkw":["john","horton","conway","the","most","charismatic","mathematician","in","the","world"]},"adUnit":"/59666047/theguardian.com/science/article/ng"}}"></gu-island><div><div class="dcr-1jicgf3"><section style="background-color:var(--section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1s8spa1"><div class="dcr-1u9kji9"><span class="dcr-n4pnam"><div class="top-banner-ad-container dcr-iim5od"><div class="dcr-mqepgd"><gu-island name="AdBlockAsk" priority="feature" deferUntil="visible" props="{"size":"leaderboard","slotId":"dfp-ad--top-above-nav","shouldHideReaderRevenue":false,"isPaidContent":false}"></gu-island><div class="ad-slot-container dcr-vdr14u"><div id="dfp-ad--top-above-nav" data-link-name="ad slot top-above-nav" data-name="top-above-nav" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--top-above-nav ad-slot--mpu-banner-ad ad-slot--rendered"></div></div></div></div></span></div></div></section></div><header data-component="header"><section style="background-color:var(--masthead-top-bar-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1s8spa1"><div data-component="topbar"><gu-island name="TopBar" priority="critical" props="{"editionId":"INT","idUrl":"https://profile.theguardian.com","mmaUrl":"https://manage.theguardian.com","discussionApiUrl":"https://discussion.theguardian.com/discussion-api","idApiUrl":"https://idapi.theguardian.com","contributionsServiceUrl":"https://contributions.guardianapis.com","hasPageSkin":false}"><div class="dcr-5k6jfi"><div class="dcr-kohrs2"><div style="padding-right:12px;" class="dcr-145list"></div><span class="dcr-1vetsv0"><div style="padding-right:12px;" class="dcr-1cvta4k"><a href="https://support.theguardian.com/subscribe/weekly?REFPVID=undefined&INTCMP=undefined&acquisitionData=%7B%22source%22%3A%22GUARDIAN_WEB%22%2C%22componentId%22%3A%22PrintSubscriptionsHeaderLink%22%2C%22componentType%22%3A%22ACQUISITIONS_HEADER%22%2C%22referrerUrl%22%3A%22%22%7D" data-link-name="header : topbar : printsubs" class="dcr-vxblrw">Print subscriptions</a></div></span><span class="dcr-1vetsv0"><div style="padding-right:12px;" class="dcr-1cvta4k"><a href="https://jobs.theguardian.com" data-link-name="header : topbar : job-cta" class="dcr-vxblrw">Search jobs</a></div></span><div style="padding-right:0px;" class="dcr-1cvta4k"><a href="https://profile.theguardian.com/signin?INTCMP=DOTCOM_NEWHEADER_SIGNIN&ABCMP=ab-sign-in&componentEventParams=componentType%3Didentityauthentication%26componentId%3Dguardian_signin_header" data-link-name="header : topbar : signin" class="dcr-3ny4gi"><svg width="14" height="14" viewBox="0 0 14 14"><path d="M7 0C3.1 0 0 3.1 0 7c0 2 .9 3.9 2.4 5.2C3.6 13.4 5.3 14 7 14c1.7 0 3.4-.6 4.7-1.8C13.2 10.9 14 9 14 7c0-3.9-3.1-7-7-7zm0 1.8c1.3 0 2.1.8 2.1 2.1S8 6.3 7 6.3c-.8 0-2-1.1-2-2.4 0-1.4.7-2.1 2-2.1zm0 11.6c-1.7 0-3.3-.7-4.5-1.8l.8-3.2.5-.5c1-.4 2.1-.5 3.1-.5 1.1 0 2.1.2 3.1.5l.5.5.9 3.2c-1.1 1.2-2.7 1.8-4.4 1.8z"></path></svg> Sign in</a></div></div></div></gu-island></div></div></section><gu-island name="Titlepiece" priority="critical" props="{"nav":{"pillars":[{"title":"News","longTitle":"Headlines","url":"/","children":[{"title":"World","longTitle":"World news","url":"/world","children":[{"title":"Europe","longTitle":"Europe","url":"/world/europe-news","children":[],"mobileOnly":false},{"title":"US","longTitle":"US news","url":"/us-news","children":[],"mobileOnly":false},{"title":"Americas","longTitle":"Americas","url":"/world/americas","children":[],"mobileOnly":false},{"title":"Asia","longTitle":"Asia","url":"/world/asia","children":[],"mobileOnly":false},{"title":"Australia","longTitle":"Australia news","url":"/australia-news","children":[],"mobileOnly":false},{"title":"Middle East","longTitle":"Middle East","url":"/world/middleeast","children":[],"mobileOnly":false},{"title":"Africa","longTitle":"Africa","url":"/world/africa","children":[],"mobileOnly":false},{"title":"Inequality","longTitle":"Inequality","url":"/inequality","children":[],"mobileOnly":false},{"title":"Global development","longTitle":"Global development","url":"/global-development","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"US politics","longTitle":"US politics","url":"/us-news/us-politics","children":[],"mobileOnly":false},{"title":"UK","longTitle":"UK news","url":"/uk-news","children":[{"title":"UK politics","longTitle":"UK politics","url":"/politics","children":[],"mobileOnly":false},{"title":"Education","longTitle":"Education","url":"/education","children":[{"title":"Schools","longTitle":"Schools","url":"/education/schools","children":[],"mobileOnly":false},{"title":"Teachers","longTitle":"Teachers","url":"/teacher-network","children":[],"mobileOnly":false},{"title":"Universities","longTitle":"Universities","url":"/education/universities","children":[],"mobileOnly":false},{"title":"Students","longTitle":"Students","url":"/education/students","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Media","longTitle":"Media","url":"/media","children":[],"mobileOnly":false},{"title":"Society","longTitle":"Society","url":"/society","children":[],"mobileOnly":false},{"title":"Law","longTitle":"Law","url":"/law","children":[],"mobileOnly":false},{"title":"Scotland","longTitle":"Scotland","url":"/uk/scotland","children":[],"mobileOnly":false},{"title":"Wales","longTitle":"Wales","url":"/uk/wales","children":[],"mobileOnly":false},{"title":"Northern Ireland","longTitle":"Northern Ireland","url":"/uk/northernireland","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Climate crisis","longTitle":"Climate crisis","url":"/environment/climate-crisis","children":[],"mobileOnly":false},{"title":"Middle East","longTitle":"Middle East","url":"/world/middleeast","children":[],"mobileOnly":false},{"title":"Ukraine","longTitle":"Ukraine","url":"/world/ukraine","children":[],"mobileOnly":false},{"title":"Environment","longTitle":"Environment","url":"/environment","children":[{"title":"Climate crisis","longTitle":"Climate crisis","url":"/environment/climate-crisis","children":[],"mobileOnly":false},{"title":"Wildlife","longTitle":"Wildlife","url":"/environment/wildlife","children":[],"mobileOnly":false},{"title":"Energy","longTitle":"Energy","url":"/environment/energy","children":[],"mobileOnly":false},{"title":"Pollution","longTitle":"Pollution","url":"/environment/pollution","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Science","longTitle":"Science","url":"/science","children":[],"mobileOnly":false},{"title":"Global development","longTitle":"Global development","url":"/global-development","children":[],"mobileOnly":false},{"title":"Football","longTitle":"Football","url":"/football","children":[{"title":"Live scores","longTitle":"football/live","url":"/football/live","children":[],"mobileOnly":false},{"title":"Tables","longTitle":"football/tables","url":"/football/tables","children":[],"mobileOnly":false},{"title":"Fixtures","longTitle":"football/fixtures","url":"/football/fixtures","children":[],"mobileOnly":false},{"title":"Results","longTitle":"football/results","url":"/football/results","children":[],"mobileOnly":false},{"title":"Competitions","longTitle":"football/competitions","url":"/football/competitions","children":[],"mobileOnly":false},{"title":"Clubs","longTitle":"football/teams","url":"/football/teams","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Tech","longTitle":"Tech","url":"/technology","children":[],"mobileOnly":false},{"title":"Business","longTitle":"Business","url":"/business","children":[{"title":"Economics","longTitle":"Economics","url":"/business/economics","children":[],"mobileOnly":false},{"title":"Banking","longTitle":"Banking","url":"/business/banking","children":[],"mobileOnly":false},{"title":"Money","longTitle":"Money","url":"/money","children":[{"title":"Property","longTitle":"Property","url":"/money/property","children":[],"mobileOnly":false},{"title":"Pensions","longTitle":"Pensions","url":"/money/pensions","children":[],"mobileOnly":false},{"title":"Savings","longTitle":"Savings","url":"/money/savings","children":[],"mobileOnly":false},{"title":"Borrowing","longTitle":"Borrowing","url":"/money/debt","children":[],"mobileOnly":false},{"title":"Careers","longTitle":"Careers","url":"/money/work-and-careers","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Markets","longTitle":"Markets","url":"/business/stock-markets","children":[],"mobileOnly":false},{"title":"Project Syndicate","longTitle":"Project Syndicate","url":"/business/series/project-syndicate-economists","children":[],"mobileOnly":false},{"title":"B2B","longTitle":"B2B","url":"/business-to-business","children":[],"mobileOnly":false},{"title":"Retail","longTitle":"Retail","url":"/business/retail","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Obituaries","longTitle":"Obituaries","url":"/obituaries","children":[],"mobileOnly":false}],"mobileOnly":false,"pillar":0},{"title":"Opinion","longTitle":"Opinion home","url":"/commentisfree","children":[{"title":"The Guardian view","longTitle":"The Guardian view","url":"/profile/editorial","children":[],"mobileOnly":false},{"title":"Columnists","longTitle":"Columnists","url":"/index/contributors","children":[],"mobileOnly":false},{"title":"Cartoons","longTitle":"Cartoons","url":"/tone/cartoons","children":[],"mobileOnly":false},{"title":"Opinion videos","longTitle":"Opinion videos","url":"/type/video+tone/comment","children":[],"mobileOnly":false},{"title":"Letters","longTitle":"Letters","url":"/tone/letters","children":[],"mobileOnly":false}],"mobileOnly":false,"pillar":1},{"title":"Sport","longTitle":"Sport home","url":"/sport","children":[{"title":"Football","longTitle":"Football","url":"/football","children":[{"title":"Live scores","longTitle":"football/live","url":"/football/live","children":[],"mobileOnly":false},{"title":"Tables","longTitle":"football/tables","url":"/football/tables","children":[],"mobileOnly":false},{"title":"Fixtures","longTitle":"football/fixtures","url":"/football/fixtures","children":[],"mobileOnly":false},{"title":"Results","longTitle":"football/results","url":"/football/results","children":[],"mobileOnly":false},{"title":"Competitions","longTitle":"football/competitions","url":"/football/competitions","children":[],"mobileOnly":false},{"title":"Clubs","longTitle":"football/teams","url":"/football/teams","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Cricket","longTitle":"Cricket","url":"/sport/cricket","children":[],"mobileOnly":false},{"title":"Rugby union","longTitle":"Rugby union","url":"/sport/rugby-union","children":[],"mobileOnly":false},{"title":"Tennis","longTitle":"Tennis","url":"/sport/tennis","children":[],"mobileOnly":false},{"title":"Cycling","longTitle":"Cycling","url":"/sport/cycling","children":[],"mobileOnly":false},{"title":"F1","longTitle":"F1","url":"/sport/formulaone","children":[],"mobileOnly":false},{"title":"Golf","longTitle":"Golf","url":"/sport/golf","children":[],"mobileOnly":false},{"title":"US sports","longTitle":"US sports","url":"/sport/us-sport","children":[],"mobileOnly":false}],"mobileOnly":false,"pillar":2},{"title":"Culture","longTitle":"Culture home","url":"/culture","children":[{"title":"Books","longTitle":"Books","url":"/books","children":[],"mobileOnly":false},{"title":"Music","longTitle":"Music","url":"/music","children":[],"mobileOnly":false},{"title":"TV & radio","longTitle":"TV & radio","url":"/tv-and-radio","children":[],"mobileOnly":false},{"title":"Art & design","longTitle":"Art & design","url":"/artanddesign","children":[],"mobileOnly":false},{"title":"Film","longTitle":"Film","url":"/film","children":[],"mobileOnly":false},{"title":"Games","longTitle":"Games","url":"/games","children":[],"mobileOnly":false},{"title":"Classical","longTitle":"Classical","url":"/music/classicalmusicandopera","children":[],"mobileOnly":false},{"title":"Stage","longTitle":"Stage","url":"/stage","children":[],"mobileOnly":false}],"mobileOnly":false,"pillar":3},{"title":"Lifestyle","longTitle":"Lifestyle home","url":"/lifeandstyle","children":[{"title":"Fashion","longTitle":"Fashion","url":"/fashion","children":[],"mobileOnly":false},{"title":"Food","longTitle":"Food","url":"/food","children":[],"mobileOnly":false},{"title":"Recipes","longTitle":"Recipes","url":"/tone/recipes","children":[],"mobileOnly":false},{"title":"Love & sex","longTitle":"Love & sex","url":"/lifeandstyle/love-and-sex","children":[],"mobileOnly":false},{"title":"Health & fitness","longTitle":"Health & fitness","url":"/lifeandstyle/health-and-wellbeing","children":[],"mobileOnly":false},{"title":"Home & garden","longTitle":"Home & garden","url":"/lifeandstyle/home-and-garden","children":[],"mobileOnly":false},{"title":"Women","longTitle":"Women","url":"/lifeandstyle/women","children":[],"mobileOnly":false},{"title":"Men","longTitle":"Men","url":"/lifeandstyle/men","children":[],"mobileOnly":false},{"title":"Family","longTitle":"Family","url":"/lifeandstyle/family","children":[],"mobileOnly":false},{"title":"Travel","longTitle":"Travel","url":"/travel","children":[{"title":"UK","longTitle":"UK","url":"/travel/uk","children":[],"mobileOnly":false},{"title":"Europe","longTitle":"Europe","url":"/travel/europe","children":[],"mobileOnly":false},{"title":"US","longTitle":"US","url":"/travel/usa","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Money","longTitle":"Money","url":"/money","children":[{"title":"Property","longTitle":"Property","url":"/money/property","children":[],"mobileOnly":false},{"title":"Pensions","longTitle":"Pensions","url":"/money/pensions","children":[],"mobileOnly":false},{"title":"Savings","longTitle":"Savings","url":"/money/savings","children":[],"mobileOnly":false},{"title":"Borrowing","longTitle":"Borrowing","url":"/money/debt","children":[],"mobileOnly":false},{"title":"Careers","longTitle":"Careers","url":"/money/work-and-careers","children":[],"mobileOnly":false}],"mobileOnly":false}],"mobileOnly":false,"pillar":4}],"otherLinks":[{"title":"The Guardian app","longTitle":"The Guardian app","url":"https://app.adjust.com/16xt6hai","children":[],"mobileOnly":false},{"title":"Video","longTitle":"Video","url":"/video","children":[],"mobileOnly":false},{"title":"Podcasts","longTitle":"Podcasts","url":"/podcasts","children":[],"mobileOnly":false},{"title":"Pictures","longTitle":"Pictures","url":"/inpictures","children":[],"mobileOnly":false},{"title":"Newsletters","longTitle":"Newsletters","url":"/email-newsletters","children":[],"mobileOnly":false},{"title":"Today's paper","longTitle":"Today's paper","url":"/theguardian","children":[{"title":"Obituaries","longTitle":"Obituaries","url":"/obituaries","children":[],"mobileOnly":false},{"title":"G2","longTitle":"G2","url":"/theguardian/g2","children":[],"mobileOnly":false},{"title":"Journal","longTitle":"Journal","url":"/theguardian/journal","children":[],"mobileOnly":false},{"title":"Saturday","longTitle":"Saturday","url":"/theguardian/saturday","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Inside the Guardian","longTitle":"Inside the Guardian","url":"https://www.theguardian.com/insidetheguardian","children":[],"mobileOnly":false},{"title":"The Observer","longTitle":"The Observer","url":"/observer","children":[{"title":"Comment","longTitle":"Comment","url":"/theobserver/news/comment","children":[],"mobileOnly":false},{"title":"The New Review","longTitle":"The New Review","url":"/theobserver/new-review","children":[],"mobileOnly":false},{"title":"Observer Magazine","longTitle":"Observer Magazine","url":"/theobserver/magazine","children":[],"mobileOnly":false},{"title":"Observer Food Monthly","longTitle":"Observer Food Monthly","url":"/theobserver/foodmonthly","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Guardian Weekly","longTitle":"Guardian Weekly","url":"https://www.theguardian.com/weekly?INTCMP=gdnwb_mawns_editorial_gweekly_GW_TopNav_Int","children":[],"mobileOnly":false},{"title":"Crosswords","longTitle":"Crosswords","url":"/crosswords","children":[{"title":"Blog","longTitle":"Blog","url":"/crosswords/crossword-blog","children":[],"mobileOnly":false},{"title":"Quick","longTitle":"Quick","url":"/crosswords/series/quick","children":[],"mobileOnly":false},{"title":"Speedy","longTitle":"Speedy","url":"/crosswords/series/speedy","children":[],"mobileOnly":false},{"title":"Quick cryptic","longTitle":"Quick cryptic","url":"/crosswords/series/quick-cryptic","children":[],"mobileOnly":false},{"title":"Everyman","longTitle":"Everyman","url":"/crosswords/series/everyman","children":[],"mobileOnly":false},{"title":"Quiptic","longTitle":"Quiptic","url":"/crosswords/series/quiptic","children":[],"mobileOnly":false},{"title":"Cryptic","longTitle":"Cryptic","url":"/crosswords/series/cryptic","children":[],"mobileOnly":false},{"title":"Prize","longTitle":"Prize","url":"/crosswords/series/prize","children":[],"mobileOnly":false},{"title":"Azed","longTitle":"Azed","url":"/crosswords/series/azed","children":[],"mobileOnly":false},{"title":"Genius","longTitle":"Genius","url":"/crosswords/series/genius","children":[],"mobileOnly":false},{"title":"Weekend","longTitle":"Weekend","url":"/crosswords/series/weekend-crossword","children":[],"mobileOnly":false},{"title":"Special","longTitle":"Special","url":"/crosswords/series/special","children":[],"mobileOnly":false}],"mobileOnly":false},{"title":"Wordiply","longTitle":"Wordiply","url":"https://www.wordiply.com","children":[],"mobileOnly":false},{"title":"Corrections","longTitle":"Corrections","url":"/theguardian/series/corrections-and-clarifications","children":[],"mobileOnly":false}],"brandExtensions":[{"title":"Search jobs","longTitle":"Search jobs","url":"https://jobs.theguardian.com","children":[],"mobileOnly":false},{"title":"Holidays","longTitle":"Holidays","url":"https://holidays.theguardian.com?INTCMP=holidays_int_web_newheader","children":[],"mobileOnly":false},{"title":"Digital Archive","longTitle":"Digital Archive","url":"https://theguardian.newspapers.com","children":[],"mobileOnly":false},{"title":"Guardian Licensing","longTitle":"Guardian Licensing","url":"https://licensing.theguardian.com/","children":[],"mobileOnly":false},{"title":"About Us","longTitle":"About Us","url":"/about","children":[],"mobileOnly":false}],"currentNavLink":"Education","subNavSections":{"parent":{"title":"Education","longTitle":"Education","url":"/education","children":[{"title":"Schools","longTitle":"Schools","url":"/education/schools","children":[],"mobileOnly":false},{"title":"Teachers","longTitle":"Teachers","url":"/teacher-network","children":[],"mobileOnly":false},{"title":"Universities","longTitle":"Universities","url":"/education/universities","children":[],"mobileOnly":false},{"title":"Students","longTitle":"Students","url":"/education/students","children":[],"mobileOnly":false}],"mobileOnly":false},"links":[{"title":"Schools","longTitle":"Schools","url":"/education/schools","children":[],"mobileOnly":false},{"title":"Teachers","longTitle":"Teachers","url":"/teacher-network","children":[],"mobileOnly":false},{"title":"Universities","longTitle":"Universities","url":"/education/universities","children":[],"mobileOnly":false},{"title":"Students","longTitle":"Students","url":"/education/students","children":[],"mobileOnly":false}]},"readerRevenueLinks":{"header":{"subscribe":"https://support.theguardian.com/subscribe?INTCMP=header_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=header_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_support%22%7D","contribute":"https://support.theguardian.com/contribute?INTCMP=header_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_support_contribute%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=header_supporter_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_supporter_cta%22%7D"},"footer":{"subscribe":"https://support.theguardian.com/subscribe?INTCMP=footer_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=footer_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support%22%7D","contribute":"https://support.theguardian.com/contribute?INTCMP=footer_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support_contribute%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=footer_supporter_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_supporter_cta%22%7D"},"sideMenu":{"subscribe":"https://support.theguardian.com/subscribe?INTCMP=side_menu_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22side_menu_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=side_menu_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22side_menu_support%22%7D","contribute":"https://support.theguardian.com/contribute?INTCMP=side_menu_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22side_menu_support_contribute%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=mobilenav_print_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22mobilenav_print_cta%22%7D"},"ampHeader":{"subscribe":"https://support.theguardian.com/subscribe?INTCMP=header_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=amp_header_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22amp_header_support%22%7D","contribute":"https://support.theguardian.com/contribute?INTCMP=header_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_support_contribute%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=header_supporter_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22header_supporter_cta%22%7D"},"ampFooter":{"subscribe":"https://support.theguardian.com/subscribe?INTCMP=amp_footer_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22amp_footer_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=footer_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support%22%7D","contribute":"https://support.theguardian.com/contribute?INTCMP=amp_footer_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22amp_footer_support_contribute%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=amp_footer_supporter_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22amp_footer_supporter_cta%22%7D"}},"selectedPillar":0},"editionId":"INT","showSubNav":true,"showSlimNav":false,"hasPageSkin":false,"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world"}"><nav style="background-color:var(--masthead-nav-background);color:var(--masthead-nav-link-text);" class="dcr-5k6jfi"><script>document.addEventListener('DOMContentLoaded', function () { /** The checkbox input element used to toggle the navigation menu. */ const navInputCheckbox = document.getElementById('header-nav-input-checkbox'); /** The veggie burger button element used to open/close the menu. */ const veggieBurger = document.getElementById('header-veggie-burger'); /** List of menu items that should be selectable when the menu is open. */ const expandedMenuClickableTags = document.querySelectorAll( '.selectableMenuItem', ); /** The root element of the expanded menu. */ const expandedMenu = document.getElementById('header-expanded-menu-root'); /** The label for the first column in the menu, assumed to be "News".*/ const firstColLabel = document.getElementById('News-button'); /** The link element in the second list item under news links. */ const firstColLink = document.querySelector( '#newsLinks > li:nth-of-type(2) > a', ); /** * Focuses on the first navigation element depending on whether the first column label is visible. * * If the first column label is not visible, the function focuses on the first link element. * Otherwise, it focuses on the first column label. */ const focusOnFirstNavElement = () => { if (window.getComputedStyle(firstColLabel).display === 'none') { firstColLink.focus(); } else { firstColLabel.focus(); } }; /** * Updates ARIA attributes and tabindex values based on whether the menu is open or closed. */ const updateAttributesForMenu = (isOpen) => { firstColLabel.setAttribute('aria-expanded', isOpen ? 'true' : 'false'); veggieBurger.setAttribute( 'data-link-name', isOpen ? 'header : veggie-burger : hide' : 'header : veggie-burger : show', ); expandedMenuClickableTags.forEach((tag) => { tag.setAttribute('tabindex', isOpen ? '0' : '-1'); }); }; /** Toggles the navigation menu by simulating a click on the checkbox. */ const toggleMainMenu = () => { if (navInputCheckbox) { navInputCheckbox.click(); } }; /** * Handles keydown events to toggle the menu when the Enter or Space key is pressed. */ const keydownToggleMainMenu = (e) => { if (e.key === 'Enter' || e.key === ' ') { e.preventDefault(); toggleMainMenu(); } }; /** * Handles click events to manage the state of the navigation menu. * * - Toggles the menu open/close state when the menu button (veggieBurger) is clicked. */ const handleMenuClick = (e) => { const menuButtonClicked = navInputCheckbox === e.target; const clickInsideMenu = expandedMenu.contains(e.target); const menuIsOpen = navInputCheckbox.checked if (menuButtonClicked && !menuIsOpen) { document.body.classList.toggle('nav-is-open') firstColLabel.setAttribute('aria-expanded', 'false') veggieBurger.setAttribute('data-link-name','header : veggie-burger : show') expandedMenuClickableTags.forEach(function($selectableElement){ $selectableElement.setAttribute('tabindex','-1') }) } else if (menuButtonClicked && menuIsOpen) { document.body.classList.toggle('nav-is-open') firstColLabel.setAttribute('aria-expanded', 'true') veggieBurger.setAttribute('data-link-name','header : veggie-burger : hide') expandedMenuClickableTags.forEach(function($selectableElement){ $selectableElement.setAttribute('tabindex','0') }) focusOnFirstNavElement() } }; /** Adds event listeners to manage the navigation menu. */ if (navInputCheckbox) { navInputCheckbox.addEventListener('click', handleMenuClick); veggieBurger.addEventListener('keydown', keydownToggleMainMenu); document.addEventListener('keydown', (e) => { if (e.key === 'Escape' && navInputCheckbox.checked) { toggleMainMenu(); veggieBurger.focus(); } }); /** * Handles mouse down events to manage the state of the navigation menu. * * - Closes the menu if the click occurs outside both the menu button and the expanded menu. */ document.addEventListener('mousedown', function(e){ if(navInputCheckbox.checked && !expandedMenu.contains(e.target) && !veggieBurger.contains(e.target)){ toggleMainMenu() } }); } });</script><div class="dcr-1jzii9a"><div class="dcr-1p6sy7j"><div class="dcr-1kbi9ft"><label for="checkbox-id-masthead-edition" class="dcr-1crstso">Int</label><input type="checkbox" id="checkbox-id-masthead-edition" aria-checked="false" tabIndex="-1"/><ul id="dropbox-id-masthead-edition" class="dcr-1lusb1s"><li><a href="/preference/edition/int" data-link-name="header : titlepiece : edition-picker: INT" class="dcr-64xqd0">International edition</a></li><li><a href="/preference/edition/uk" data-link-name="header : titlepiece : edition-picker: UK" class="dcr-i0vtpq">UK edition</a></li><li><a href="/preference/edition/us" data-link-name="header : titlepiece : edition-picker: US" class="dcr-i0vtpq">US edition</a></li><li><a href="/preference/edition/au" data-link-name="header : titlepiece : edition-picker: AU" class="dcr-i0vtpq">Australia edition</a></li><li><a href="/preference/edition/eur" data-link-name="header : titlepiece : edition-picker: EUR" class="dcr-i0vtpq">Europe edition</a></li></ul></div></div></div><div class="dcr-1apgfiu"><a href="/" data-link-name="header : logo"><span class="dcr-zramh4">The Guardian - Back to home</span><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 -3 300 100" fill="var(--masthead-nav-link-text)" aria-hidden="true"><path d="M0 70.8c0-19.5 13-26.4 27.3-26.4 6.1 0 12 1 15.1 2.3l.3 13.6h-1.4L33 47.2c-1.5-.7-2.8-.9-5.4-.9-7.6 0-11.5 8.8-11.4 23.3.1 17.3 3.1 25.1 10.2 25.1 1.8 0 3.2-.2 4.2-.7V75.5l-4.7-2.7v-1.5h22.5V73l-4.6 2.5v18.3a50.1 50.1 0 0 1-17 2.9C10.5 96.7 0 89 0 70.8Z"></path><path d="m142.8 57.9 1.2.1v11h.3c1.6-8 5.2-11 9.5-11 .7 0 1.5 0 1.9.2v11.2c-.7-.2-2-.2-3.1-.2-3.4 0-6 .6-8.2 1.6v21.7l3.4 1.9v1.4h-19.5v-1.4l3.5-2V63l-4.1-1.2v-1l15-2.8Z"></path><path d="M110.2 74v-4.9c0-7.4-1.6-9.9-6.2-9.9l-1.6.2-8.2 11h-1.1V60.3c3.5-1.1 7.9-2.4 13.7-2.4 10 0 15.8 2.8 15.8 11.1v24l3.6 1v1c-1.4.8-4.2 1.6-7.3 1.6-5 0-7.3-1.6-8.4-4.3h-.4c-2 2.8-5 4.4-9.7 4.4-6 0-10-3.7-10-10S94.2 77 102 75.5l8.1-1.6Zm0 16.6V75.8l-2.5.2c-4 .3-5.3 2.8-5.3 8.3 0 6 2 7.6 4.7 7.6 1.5 0 2.4-.5 3.1-1.3Z"></path><path d="M47.5 61.7v-1.1l15-2.7 1.7.2v29.6c0 3.6 1.7 4.7 4.6 4.7 1.9 0 3.6-.7 4.9-2.3V63.5l-4.1-1.8v-1.1l15-2.7 1.6.1v34l4 1.7v1l-14.9 1.9-1.5-.1V92h-.4a16.8 16.8 0 0 1-11.3 4.7c-7.2 0-10.5-4.2-10.5-10.7V63.5l-4.1-1.8Z"></path><path d="M261.5 92.5V63l-4.2-1.4v-1.5l15-2.7h1.5V62h.5c3.2-2.9 8-4.7 12.8-4.7 6.5 0 9.4 3 9.4 10v25.1l3.5 2v1.4h-19.5v-1.4l3.5-2V68c0-3.8-1.7-5.3-4.8-5.3-2 0-3.6.5-5.1 1.6v28.3l3.4 1.9v1.4h-19.6v-1.4l3.6-2Z"></path><path d="m214 57.8 1.4.2v34.5l3.4 1.9v1.4h-19.5v-1.4l3.5-2v-29l-4.2-1.6v-1.2l15.5-2.8Zm1.5-9.3c0 3.7-3.1 6.4-6.7 6.4a6.4 6.4 0 0 1-6.6-6.4c0-3.6 2.9-6.4 6.6-6.4 3.6 0 6.7 2.8 6.7 6.4Z"></path><path d="M239.8 74v-4.9c0-7.4-1.7-9.9-6.2-9.9l-1.6.2-8.2 11h-1.1V60.3c3.5-1.1 7.9-2.4 13.7-2.4 10 0 15.8 2.8 15.8 11.1v24l3.6 1v1c-1.4.8-4.2 1.6-7.4 1.6-5 0-7.3-1.6-8.4-4.3h-.3c-2 2.8-5 4.4-9.7 4.4-6 0-10-3.7-10-10s3.8-9.6 11.7-11.1l8-1.6Zm0 16.6V75.8l-2.5.2c-4 .3-5.4 2.8-5.4 8.3 0 6 2 7.6 4.8 7.6 1.5 0 2.4-.5 3-1.3Z"></path><path d="M180.6 58.8V47.2l-4.1-1.4v-1l15.2-2.7 1.5.2V92l4.2 1.5v1.3l-15 2-1.2-.2v-4h-.4a13.4 13.4 0 0 1-10 4.1c-8.1 0-14.1-6.2-14.1-19 0-13.5 7-20 17.5-20 3 0 5.3.5 6.4 1.1Zm0 31.8V61c-1-.6-1.7-1.4-4.2-1.3-4 .2-6.6 6.3-6.6 17.2 0 9.8 1.9 15.3 7.3 15.1 1.5 0 2.7-.6 3.5-1.3Z"></path><path d="m68.1 51.6 5.2-2.7V8.5h-4L60 21.1h-1.1l.6-14h41.3l.6 14H100L90.8 8.5h-4v40.3l5.2 2.7V53H68.1v-1.3Z"></path><path d="M105.4 49.8V5l-4-1.6v-.8L115.9 0h1.5v21.2l.4-.4c3.2-2.8 7.8-4.5 12.4-4.5 6.3 0 9.1 3.5 9.1 10.2v23.3l3.4 1.8V53h-18.9v-1.4l3.4-1.8V26.4c0-3.7-1.6-5.1-4.6-5.1a8 8 0 0 0-5 1.6v27l3.3 1.8V53h-19v-1.3l3.5-2Z"></path><path d="M153.7 36c.4 7.4 3.7 13.1 11.6 13.1 3.8 0 6.5-1.7 9-3v1.4c-1.9 2.7-6.9 6.5-13.8 6.5-12.2 0-18.5-6.8-18.5-18.5 0-11.5 6.8-18.6 17.9-18.6 10.3 0 15.7 5.2 15.7 18.8v.3h-21.9Zm-.2-1.7 10.8-.6c0-9.2-1.6-15.3-4.8-15.3-3.3 0-6 7-6 16Z"></path></svg><span class="dcr-1p0hins">The Guardian</span></a></div><input type="checkbox" id="header-nav-input-checkbox" name="more" tabIndex="-1" aria-hidden="true" role="button" aria-expanded="false" aria-haspopup="true" class="dcr-1acea34"/><div class="dcr-1p1neil"><ul class="dcr-1d6g26q"><li class="dcr-1grikph"><a href="/" style="--pillar-underline:#FF5943;" id="navigation" data-link-name="header : titlepiece : nav : primary : News" class="dcr-1iufw7r">News</a></li><li class="dcr-ks441s"><a href="/commentisfree" style="--pillar-underline:#FF7F0F;" data-link-name="header : titlepiece : nav : primary : Opinion" class="dcr-7612kl">Opinion</a></li><li class="dcr-ks441s"><a href="/sport" style="--pillar-underline:#00B2FF;" data-link-name="header : titlepiece : nav : primary : Sport" class="dcr-7612kl">Sport</a></li><li class="dcr-ks441s"><a href="/culture" style="--pillar-underline:#EACCA0;" data-link-name="header : titlepiece : nav : primary : Culture" class="dcr-7612kl">Culture</a></li><li class="dcr-1kcody2"><a href="/lifeandstyle" style="--pillar-underline:#FFABDB;" data-link-name="header : titlepiece : nav : primary : Lifestyle" class="dcr-7612kl">Lifestyle</a></li></ul></div><div class="dcr-1hrapdy"><label id="header-veggie-burger" aria-label="Toggle main menu" for="header-nav-input-checkbox" data-link-name="header : veggie-burger : show" tabIndex="0" role="button" data-testid="veggie-burger" class="dcr-1xv1515"><span class="dcr-b3mn8w"><span class="dcr-1nvgr5i">Show more</span><svg width="26" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 7V5H1v2zm0 6v-2H1v2zm0 6v-2H1v2z" fill="var(--masthead-veggie-burger-icon)"></path></svg></span><span class="dcr-li5n90"><span class="dcr-1nvgr5i">Hide expanded menu</span><svg width="26" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M12.015 14.042 20.707 22 22 20.709 14.06 12 22 3.291 20.707 2l-8.692 7.958L3.293 2.03 2 3.321 9.97 12 2 20.679l1.293 1.291z" fill="var(--masthead-veggie-burger-icon)"></path></svg></span></label></div><div id="header-expanded-menu-root" class="dcr-1ef3v4m"><div id="header-expanded-menu" data-testid="expanded-menu" class="dcr-14vdg2"><div class="dcr-1srap2j"><div class="dcr-10y96fo"><ul role="menubar" data-testid="nav-menu-columns" class="dcr-6sl420"><li role="none" class="dcr-lpsfc3"><script>document.addEventListener('DOMContentLoaded', function(){ var columnInput = document.getElementById('News-button'); if (!columnInput) return; // Sticky nav replaces the nav so element no longer exists for users in test. columnInput.addEventListener('keydown', function(e){ // keyCode: 13 => Enter key | keyCode: 32 => Space key if (e.keyCode === 13 || e.keyCode === 32) { e.preventDefault() document.getElementById('News-checkbox-input').click(); } }) })</script><input type="checkbox" id="News-checkbox-input" tabIndex="-1" aria-hidden="true" class="dcr-1acea34"/><label id="News-button" aria-label="Toggle News" for="News-checkbox-input" aria-haspopup="true" aria-controls="newsLinks" tabIndex="-1" role="menuitem" data-testid="column-collapse-News" data-link-name="header : secondary : News" class="selectableMenuItem dcr-o6rk0u">News</label><ul role="menu" id="newsLinks" data-testid="newsLinks" class="dcr-11vt4tq"><li role="none" class="dcr-9ra8aa"><a href="/" role="menuitem" data-link-name="header : secondary : View all News" data-testid="column-collapse-sublink-News" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">View all News</a></li><li role="none" class="dcr-4hq641"><a href="/world" role="menuitem" data-link-name="header : secondary : World news" data-testid="column-collapse-sublink-World" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">World news</a></li><li role="none" class="dcr-4hq641"><a href="/us-news/us-politics" role="menuitem" data-link-name="header : secondary : US politics" data-testid="column-collapse-sublink-US politics" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">US politics</a></li><li role="none" class="dcr-4hq641"><a href="/uk-news" role="menuitem" data-link-name="header : secondary : UK news" data-testid="column-collapse-sublink-UK" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">UK news</a></li><li role="none" class="dcr-4hq641"><a href="/environment/climate-crisis" role="menuitem" data-link-name="header : secondary : Climate crisis" data-testid="column-collapse-sublink-Climate crisis" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Climate crisis</a></li><li role="none" class="dcr-4hq641"><a href="/world/middleeast" role="menuitem" data-link-name="header : secondary : Middle East" data-testid="column-collapse-sublink-Middle East" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Middle East</a></li><li role="none" class="dcr-4hq641"><a href="/world/ukraine" role="menuitem" data-link-name="header : secondary : Ukraine" data-testid="column-collapse-sublink-Ukraine" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Ukraine</a></li><li role="none" class="dcr-4hq641"><a href="/environment" role="menuitem" data-link-name="header : secondary : Environment" data-testid="column-collapse-sublink-Environment" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Environment</a></li><li role="none" class="dcr-4hq641"><a href="/science" role="menuitem" data-link-name="header : secondary : Science" data-testid="column-collapse-sublink-Science" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Science</a></li><li role="none" class="dcr-4hq641"><a href="/global-development" role="menuitem" data-link-name="header : secondary : Global development" data-testid="column-collapse-sublink-Global development" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Global development</a></li><li role="none" class="dcr-4hq641"><a href="/football" role="menuitem" data-link-name="header : secondary : Football" data-testid="column-collapse-sublink-Football" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Football</a></li><li role="none" class="dcr-4hq641"><a href="/technology" role="menuitem" data-link-name="header : secondary : Tech" data-testid="column-collapse-sublink-Tech" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Tech</a></li><li role="none" class="dcr-4hq641"><a href="/business" role="menuitem" data-link-name="header : secondary : Business" data-testid="column-collapse-sublink-Business" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Business</a></li><li role="none" class="dcr-4hq641"><a href="/obituaries" role="menuitem" data-link-name="header : secondary : Obituaries" data-testid="column-collapse-sublink-Obituaries" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Obituaries</a></li></ul><div class="dcr-1tnoaxa"></div></li><li role="none" class="dcr-lpsfc3"><script>document.addEventListener('DOMContentLoaded', function(){ var columnInput = document.getElementById('Opinion-button'); if (!columnInput) return; // Sticky nav replaces the nav so element no longer exists for users in test. columnInput.addEventListener('keydown', function(e){ // keyCode: 13 => Enter key | keyCode: 32 => Space key if (e.keyCode === 13 || e.keyCode === 32) { e.preventDefault() document.getElementById('Opinion-checkbox-input').click(); } }) })</script><input type="checkbox" id="Opinion-checkbox-input" tabIndex="-1" aria-hidden="true" class="dcr-1acea34"/><label id="Opinion-button" aria-label="Toggle Opinion" for="Opinion-checkbox-input" aria-haspopup="true" aria-controls="opinionLinks" tabIndex="-1" role="menuitem" data-testid="column-collapse-Opinion" data-link-name="header : secondary : Opinion" class="selectableMenuItem dcr-p0c3jt">Opinion</label><ul role="menu" id="opinionLinks" data-testid="opinionLinks" class="dcr-v7ibvm"><li role="none" class="dcr-9ra8aa"><a href="/commentisfree" role="menuitem" data-link-name="header : secondary : View all Opinion" data-testid="column-collapse-sublink-Opinion" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">View all Opinion</a></li><li role="none" class="dcr-4hq641"><a href="/profile/editorial" role="menuitem" data-link-name="header : secondary : The Guardian view" data-testid="column-collapse-sublink-The Guardian view" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">The Guardian view</a></li><li role="none" class="dcr-4hq641"><a href="/index/contributors" role="menuitem" data-link-name="header : secondary : Columnists" data-testid="column-collapse-sublink-Columnists" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Columnists</a></li><li role="none" class="dcr-4hq641"><a href="/tone/cartoons" role="menuitem" data-link-name="header : secondary : Cartoons" data-testid="column-collapse-sublink-Cartoons" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Cartoons</a></li><li role="none" class="dcr-4hq641"><a href="/type/video+tone/comment" role="menuitem" data-link-name="header : secondary : Opinion videos" data-testid="column-collapse-sublink-Opinion videos" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Opinion videos</a></li><li role="none" class="dcr-4hq641"><a href="/tone/letters" role="menuitem" data-link-name="header : secondary : Letters" data-testid="column-collapse-sublink-Letters" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Letters</a></li></ul><div class="dcr-1j2dgzz"></div></li><li role="none" class="dcr-lpsfc3"><script>document.addEventListener('DOMContentLoaded', function(){ var columnInput = document.getElementById('Sport-button'); if (!columnInput) return; // Sticky nav replaces the nav so element no longer exists for users in test. columnInput.addEventListener('keydown', function(e){ // keyCode: 13 => Enter key | keyCode: 32 => Space key if (e.keyCode === 13 || e.keyCode === 32) { e.preventDefault() document.getElementById('Sport-checkbox-input').click(); } }) })</script><input type="checkbox" id="Sport-checkbox-input" tabIndex="-1" aria-hidden="true" class="dcr-1acea34"/><label id="Sport-button" aria-label="Toggle Sport" for="Sport-checkbox-input" aria-haspopup="true" aria-controls="sportLinks" tabIndex="-1" role="menuitem" data-testid="column-collapse-Sport" data-link-name="header : secondary : Sport" class="selectableMenuItem dcr-10b2o1s">Sport</label><ul role="menu" id="sportLinks" data-testid="sportLinks" class="dcr-wp8bgr"><li role="none" class="dcr-9ra8aa"><a href="/sport" role="menuitem" data-link-name="header : secondary : View all Sport" data-testid="column-collapse-sublink-Sport" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">View all Sport</a></li><li role="none" class="dcr-4hq641"><a href="/football" role="menuitem" data-link-name="header : secondary : Football" data-testid="column-collapse-sublink-Football" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Football</a></li><li role="none" class="dcr-4hq641"><a href="/sport/cricket" role="menuitem" data-link-name="header : secondary : Cricket" data-testid="column-collapse-sublink-Cricket" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Cricket</a></li><li role="none" class="dcr-4hq641"><a href="/sport/rugby-union" role="menuitem" data-link-name="header : secondary : Rugby union" data-testid="column-collapse-sublink-Rugby union" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Rugby union</a></li><li role="none" class="dcr-4hq641"><a href="/sport/tennis" role="menuitem" data-link-name="header : secondary : Tennis" data-testid="column-collapse-sublink-Tennis" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Tennis</a></li><li role="none" class="dcr-4hq641"><a href="/sport/cycling" role="menuitem" data-link-name="header : secondary : Cycling" data-testid="column-collapse-sublink-Cycling" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Cycling</a></li><li role="none" class="dcr-4hq641"><a href="/sport/formulaone" role="menuitem" data-link-name="header : secondary : F1" data-testid="column-collapse-sublink-F1" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">F1</a></li><li role="none" class="dcr-4hq641"><a href="/sport/golf" role="menuitem" data-link-name="header : secondary : Golf" data-testid="column-collapse-sublink-Golf" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Golf</a></li><li role="none" class="dcr-4hq641"><a href="/sport/us-sport" role="menuitem" data-link-name="header : secondary : US sports" data-testid="column-collapse-sublink-US sports" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">US sports</a></li></ul><div class="dcr-16q8bto"></div></li><li role="none" class="dcr-lpsfc3"><script>document.addEventListener('DOMContentLoaded', function(){ var columnInput = document.getElementById('Culture-button'); if (!columnInput) return; // Sticky nav replaces the nav so element no longer exists for users in test. columnInput.addEventListener('keydown', function(e){ // keyCode: 13 => Enter key | keyCode: 32 => Space key if (e.keyCode === 13 || e.keyCode === 32) { e.preventDefault() document.getElementById('Culture-checkbox-input').click(); } }) })</script><input type="checkbox" id="Culture-checkbox-input" tabIndex="-1" aria-hidden="true" class="dcr-1acea34"/><label id="Culture-button" aria-label="Toggle Culture" for="Culture-checkbox-input" aria-haspopup="true" aria-controls="cultureLinks" tabIndex="-1" role="menuitem" data-testid="column-collapse-Culture" data-link-name="header : secondary : Culture" class="selectableMenuItem dcr-x5fwww">Culture</label><ul role="menu" id="cultureLinks" data-testid="cultureLinks" class="dcr-1yytfii"><li role="none" class="dcr-9ra8aa"><a href="/culture" role="menuitem" data-link-name="header : secondary : View all Culture" data-testid="column-collapse-sublink-Culture" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">View all Culture</a></li><li role="none" class="dcr-4hq641"><a href="/books" role="menuitem" data-link-name="header : secondary : Books" data-testid="column-collapse-sublink-Books" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Books</a></li><li role="none" class="dcr-4hq641"><a href="/music" role="menuitem" data-link-name="header : secondary : Music" data-testid="column-collapse-sublink-Music" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Music</a></li><li role="none" class="dcr-4hq641"><a href="/tv-and-radio" role="menuitem" data-link-name="header : secondary : TV & radio" data-testid="column-collapse-sublink-TV & radio" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">TV & radio</a></li><li role="none" class="dcr-4hq641"><a href="/artanddesign" role="menuitem" data-link-name="header : secondary : Art & design" data-testid="column-collapse-sublink-Art & design" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Art & design</a></li><li role="none" class="dcr-4hq641"><a href="/film" role="menuitem" data-link-name="header : secondary : Film" data-testid="column-collapse-sublink-Film" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Film</a></li><li role="none" class="dcr-4hq641"><a href="/games" role="menuitem" data-link-name="header : secondary : Games" data-testid="column-collapse-sublink-Games" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Games</a></li><li role="none" class="dcr-4hq641"><a href="/music/classicalmusicandopera" role="menuitem" data-link-name="header : secondary : Classical" data-testid="column-collapse-sublink-Classical" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Classical</a></li><li role="none" class="dcr-4hq641"><a href="/stage" role="menuitem" data-link-name="header : secondary : Stage" data-testid="column-collapse-sublink-Stage" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Stage</a></li></ul><div class="dcr-6zq80y"></div></li><li role="none" class="dcr-lpsfc3"><script>document.addEventListener('DOMContentLoaded', function(){ var columnInput = document.getElementById('Lifestyle-button'); if (!columnInput) return; // Sticky nav replaces the nav so element no longer exists for users in test. columnInput.addEventListener('keydown', function(e){ // keyCode: 13 => Enter key | keyCode: 32 => Space key if (e.keyCode === 13 || e.keyCode === 32) { e.preventDefault() document.getElementById('Lifestyle-checkbox-input').click(); } }) })</script><input type="checkbox" id="Lifestyle-checkbox-input" tabIndex="-1" aria-hidden="true" class="dcr-1acea34"/><label id="Lifestyle-button" aria-label="Toggle Lifestyle" for="Lifestyle-checkbox-input" aria-haspopup="true" aria-controls="lifestyleLinks" tabIndex="-1" role="menuitem" data-testid="column-collapse-Lifestyle" data-link-name="header : secondary : Lifestyle" class="selectableMenuItem dcr-yq9plo">Lifestyle</label><ul role="menu" id="lifestyleLinks" data-testid="lifestyleLinks" class="dcr-1utnfys"><li role="none" class="dcr-9ra8aa"><a href="/lifeandstyle" role="menuitem" data-link-name="header : secondary : View all Lifestyle" data-testid="column-collapse-sublink-Lifestyle" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">View all Lifestyle</a></li><li role="none" class="dcr-4hq641"><a href="/fashion" role="menuitem" data-link-name="header : secondary : Fashion" data-testid="column-collapse-sublink-Fashion" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Fashion</a></li><li role="none" class="dcr-4hq641"><a href="/food" role="menuitem" data-link-name="header : secondary : Food" data-testid="column-collapse-sublink-Food" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Food</a></li><li role="none" class="dcr-4hq641"><a href="/tone/recipes" role="menuitem" data-link-name="header : secondary : Recipes" data-testid="column-collapse-sublink-Recipes" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Recipes</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/love-and-sex" role="menuitem" data-link-name="header : secondary : Love & sex" data-testid="column-collapse-sublink-Love & sex" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Love & sex</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/health-and-wellbeing" role="menuitem" data-link-name="header : secondary : Health & fitness" data-testid="column-collapse-sublink-Health & fitness" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Health & fitness</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/home-and-garden" role="menuitem" data-link-name="header : secondary : Home & garden" data-testid="column-collapse-sublink-Home & garden" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Home & garden</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/women" role="menuitem" data-link-name="header : secondary : Women" data-testid="column-collapse-sublink-Women" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Women</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/men" role="menuitem" data-link-name="header : secondary : Men" data-testid="column-collapse-sublink-Men" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Men</a></li><li role="none" class="dcr-4hq641"><a href="/lifeandstyle/family" role="menuitem" data-link-name="header : secondary : Family" data-testid="column-collapse-sublink-Family" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Family</a></li><li role="none" class="dcr-4hq641"><a href="/travel" role="menuitem" data-link-name="header : secondary : Travel" data-testid="column-collapse-sublink-Travel" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Travel</a></li><li role="none" class="dcr-4hq641"><a href="/money" role="menuitem" data-link-name="header : secondary : Money" data-testid="column-collapse-sublink-Money" tabIndex="-1" class="selectableMenuItem dcr-1julzi7">Money</a></li></ul></li><span class="dcr-90inr0"><li role="none"><form action="https://www.google.co.uk/search" class="dcr-1jjnk9d"><label for="gu-search" class="dcr-0"><div class="dcr-6v110l">Search input </div></label><input type="text" id="gu-search" aria-required="true" aria-invalid="false" aria-describedby required name="q" placeholder="Search the Guardian" data-link-name="header : search" tabIndex="-1" class="selectableMenuItem dcr-qcy5wo"/><label for="gu-search" class="dcr-0"><div class="dcr-6v110l">google-search </div><div class="dcr-radnun"><svg width="30" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M9.273 2c4.023 0 7.25 3.295 7.25 7.273a7.226 7.226 0 0 1-7.25 7.25C5.25 16.523 2 13.296 2 9.273 2 5.295 5.25 2 9.273 2m0 1.84A5.403 5.403 0 0 0 3.84 9.274c0 3 2.409 5.454 5.432 5.454 3 0 5.454-2.454 5.454-5.454 0-3.023-2.454-5.432-5.454-5.432m7.295 10.887L22 20.16 20.16 22l-5.433-5.432v-.932l.91-.909z"></path></svg><span class="dcr-1p0hins">Search</span></div></label><button type="submit" aria-live="polite" aria-label="Search with Google" data-link-name="header : search : submit" tabIndex="-1" class="dcr-1gsboxi"><div class="src-button-space"></div><svg width="30" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M1 12.956h18.274l-7.167 8.575.932.932L23 12.478v-.956l-9.96-9.985-.932.932 7.166 8.575H1z"></path></svg></button><input type="hidden" name="as_sitesearch" value="www.theguardian.com"/></form></li></span><div class="dcr-1q09wwq"></div><ul role="menu" class="dcr-e1bf28"><li role="none" class="dcr-9ra8aa"><a href="https://support.theguardian.com?INTCMP=side_menu_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_HEADER%22,%22componentId%22:%22side_menu_support%22%7D" role="menuitem" data-link-name="header : secondary : Support us" data-testid="column-collapse-sublink-Support us" tabIndex="-1" class="selectableMenuItem dcr-1rg7stg">Support us</a></li><li role="none" class="dcr-9ra8aa"><a href="https://support.theguardian.com/subscribe/weekly?REFPVID=undefined&INTCMP=undefined&acquisitionData=%7B%22source%22%3A%22GUARDIAN_WEB%22%2C%22componentId%22%3A%22PrintSubscriptionsHeaderLink%22%2C%22componentType%22%3A%22ACQUISITIONS_HEADER%22%2C%22referrerUrl%22%3A%22%22%7D" role="menuitem" data-link-name="header : secondary : Print subscriptions" data-testid="column-collapse-sublink-Print subscriptions" tabIndex="-1" class="selectableMenuItem dcr-1rg7stg">Print subscriptions</a></li></ul><li role="none" class="dcr-3ae42h"><ul role="menu" id="moreLinks" class="dcr-1mtufo3"><li role="none" class="dcr-9ra8aa"><a href="https://jobs.theguardian.com" role="menuitem" data-link-name="header : secondary : Search jobs" data-testid="column-collapse-sublink-Search jobs" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Search jobs</a></li><li role="none" class="dcr-9ra8aa"><a href="https://holidays.theguardian.com?INTCMP=holidays_int_web_newheader" role="menuitem" data-link-name="header : secondary : Holidays" data-testid="column-collapse-sublink-Holidays" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Holidays</a></li><li role="none" class="dcr-9ra8aa"><a href="https://theguardian.newspapers.com" role="menuitem" data-link-name="header : secondary : Digital Archive" data-testid="column-collapse-sublink-Digital Archive" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Digital Archive</a></li><li role="none" class="dcr-9ra8aa"><a href="https://licensing.theguardian.com/" role="menuitem" data-link-name="header : secondary : Guardian Licensing" data-testid="column-collapse-sublink-Guardian Licensing" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Guardian Licensing</a></li><li role="none" class="dcr-9ra8aa"><a href="/about" role="menuitem" data-link-name="header : secondary : About Us" data-testid="column-collapse-sublink-About Us" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">About Us</a></li><li role="none" class="dcr-4hq641"><a href="https://app.adjust.com/16xt6hai" role="menuitem" data-link-name="header : secondary : The Guardian app" data-testid="column-collapse-sublink-The Guardian app" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">The Guardian app</a></li><li role="none" class="dcr-4hq641"><a href="/video" role="menuitem" data-link-name="header : secondary : Video" data-testid="column-collapse-sublink-Video" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Video</a></li><li role="none" class="dcr-4hq641"><a href="/podcasts" role="menuitem" data-link-name="header : secondary : Podcasts" data-testid="column-collapse-sublink-Podcasts" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Podcasts</a></li><li role="none" class="dcr-4hq641"><a href="/inpictures" role="menuitem" data-link-name="header : secondary : Pictures" data-testid="column-collapse-sublink-Pictures" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Pictures</a></li><li role="none" class="dcr-4hq641"><a href="/email-newsletters" role="menuitem" data-link-name="header : secondary : Newsletters" data-testid="column-collapse-sublink-Newsletters" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Newsletters</a></li><li role="none" class="dcr-4hq641"><a href="/theguardian" role="menuitem" data-link-name="header : secondary : Today's paper" data-testid="column-collapse-sublink-Today's paper" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Today's paper</a></li><li role="none" class="dcr-4hq641"><a href="https://www.theguardian.com/insidetheguardian" role="menuitem" data-link-name="header : secondary : Inside the Guardian" data-testid="column-collapse-sublink-Inside the Guardian" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Inside the Guardian</a></li><li role="none" class="dcr-4hq641"><a href="/observer" role="menuitem" data-link-name="header : secondary : The Observer" data-testid="column-collapse-sublink-The Observer" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">The Observer</a></li><li role="none" class="dcr-4hq641"><a href="https://www.theguardian.com/weekly?INTCMP=gdnwb_mawns_editorial_gweekly_GW_TopNav_Int" role="menuitem" data-link-name="header : secondary : Guardian Weekly" data-testid="column-collapse-sublink-Guardian Weekly" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Guardian Weekly</a></li><li role="none" class="dcr-4hq641"><a href="/crosswords" role="menuitem" data-link-name="header : secondary : Crosswords" data-testid="column-collapse-sublink-Crosswords" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Crosswords</a></li><li role="none" class="dcr-4hq641"><a href="https://www.wordiply.com" role="menuitem" data-link-name="header : secondary : Wordiply" data-testid="column-collapse-sublink-Wordiply" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Wordiply</a></li><li role="none" class="dcr-4hq641"><a href="/theguardian/series/corrections-and-clarifications" role="menuitem" data-link-name="header : secondary : Corrections" data-testid="column-collapse-sublink-Corrections" tabIndex="-1" class="selectableMenuItem dcr-a1su5g">Corrections</a></li></ul></li><li role="none" class="dcr-1rinrec"><form action="https://www.google.co.uk/search" class="dcr-1jjnk9d"><label for="gu-search" class="dcr-0"><div class="dcr-6v110l">Search input </div></label><input type="text" id="gu-search" aria-required="true" aria-invalid="false" aria-describedby required name="q" placeholder="Search the Guardian" data-link-name="header : search" tabIndex="-1" class="selectableMenuItem dcr-qcy5wo"/><label for="gu-search" class="dcr-0"><div class="dcr-6v110l">google-search </div><div class="dcr-radnun"><svg width="30" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M9.273 2c4.023 0 7.25 3.295 7.25 7.273a7.226 7.226 0 0 1-7.25 7.25C5.25 16.523 2 13.296 2 9.273 2 5.295 5.25 2 9.273 2m0 1.84A5.403 5.403 0 0 0 3.84 9.274c0 3 2.409 5.454 5.432 5.454 3 0 5.454-2.454 5.454-5.454 0-3.023-2.454-5.432-5.454-5.432m7.295 10.887L22 20.16 20.16 22l-5.433-5.432v-.932l.91-.909z"></path></svg><span class="dcr-1p0hins">Search</span></div></label><button type="submit" aria-live="polite" aria-label="Search with Google" data-link-name="header : search : submit" tabIndex="-1" class="dcr-1gsboxi"><div class="src-button-space"></div><svg width="30" viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M1 12.956h18.274l-7.167 8.575.932.932L23 12.478v-.956l-9.96-9.985-.932.932 7.166 8.575H1z"></path></svg></button><input type="hidden" name="as_sitesearch" value="www.theguardian.com"/></form><ul role="menu" class="dcr-iwod0p"><li class="dcr-nnfu1a"><a href="https://jobs.theguardian.com" role="menuitem" data-link-name="header : brand extension : Search jobs" tabIndex="-1" class="selectableMenuItem dcr-e3rvah">Search jobs</a></li><li class="dcr-nnfu1a"><a href="https://holidays.theguardian.com?INTCMP=holidays_int_web_newheader" role="menuitem" data-link-name="header : brand extension : Holidays" tabIndex="-1" class="selectableMenuItem dcr-e3rvah">Holidays</a></li><li class="dcr-nnfu1a"><a href="https://theguardian.newspapers.com" role="menuitem" data-link-name="header : brand extension : Digital Archive" tabIndex="-1" class="selectableMenuItem dcr-e3rvah">Digital Archive</a></li><li class="dcr-nnfu1a"><a href="https://licensing.theguardian.com/" role="menuitem" data-link-name="header : brand extension : Guardian Licensing" tabIndex="-1" class="selectableMenuItem dcr-e3rvah">Guardian Licensing</a></li><li class="dcr-nnfu1a"><a href="/about" role="menuitem" data-link-name="header : brand extension : About Us" tabIndex="-1" class="selectableMenuItem dcr-e3rvah">About Us</a></li></ul></li></ul></div></div></div></div><div data-print-layout="hide" data-testid="sub-nav" data-component="sub-nav" class="dcr-mu6xev"><ul role="list" style="--sub-nav-link:var(--sub-nav-link-header);" class="dcr-12t3ay9"><li class="dcr-5wkng0"><a data-src-focus-disabled="true" href="/education" class="dcr-15o3dy0">Education</a></li><li class="dcr-5wkng0"><a data-src-focus-disabled="true" href="/education/schools" data-link-name="header : subnav : Schools" class="dcr-15o3dy0">Schools</a></li><li class="dcr-5wkng0"><a data-src-focus-disabled="true" href="/teacher-network" data-link-name="header : subnav : Teachers" class="dcr-15o3dy0">Teachers</a></li><li class="dcr-5wkng0"><a data-src-focus-disabled="true" href="/education/universities" data-link-name="header : subnav : Universities" class="dcr-15o3dy0">Universities</a></li><li class="dcr-5wkng0"><a data-src-focus-disabled="true" href="/education/students" data-link-name="header : subnav : Students" class="dcr-15o3dy0">Students</a></li></ul><div class="dcr-1ikn05z"></div></div></nav></gu-island></header></div><main data-layout="ShowcaseLayout" id="maincontent"><article style="background-color:var(--article-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-wqti5a"><div class="dcr-1fw0voq"><div style="--grid-area:media;" data-gu-name="media" class="dcr-1fnjjtg"><div class="dcr-1j5hrwi"><div class="dcr-hlfdy3"><figure id="8689eb50-1196-4f42-838a-9bcbf272d9a4" class="dcr-142siv7"><div id="img-1" class="dcr-1t8m8f2"><picture class="dcr-evn1e9"><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1300&dpr=2&s=none&crop=none" media="(min-width: 1300px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1300px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1300&dpr=1&s=none&crop=none" media="(min-width: 1300px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1140&dpr=2&s=none&crop=none" media="(min-width: 1140px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1140px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1140&dpr=1&s=none&crop=none" media="(min-width: 1140px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1125&dpr=2&s=none&crop=none" media="(min-width: 980px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 980px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=1125&dpr=1&s=none&crop=none" media="(min-width: 980px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=965&dpr=2&s=none&crop=none" media="(min-width: 740px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 740px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=965&dpr=1&s=none&crop=none" media="(min-width: 740px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=725&dpr=2&s=none&crop=none" media="(min-width: 660px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 660px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=725&dpr=1&s=none&crop=none" media="(min-width: 660px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=645&dpr=2&s=none&crop=none" media="(min-width: 480px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 480px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=645&dpr=1&s=none&crop=none" media="(min-width: 480px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=465&dpr=2&s=none&crop=none" media="(min-width: 320px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 320px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=465&dpr=1&s=none&crop=none" media="(min-width: 320px)"/><img alt="John Horton Conway" src="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437577442480/783cce08-ccb4-4aa3-acdc-6ebea3ff2a68-1020x612.jpeg?width=465&dpr=1&s=none&crop=none" width="465" height="279" loading="eager" class="dcr-evn1e9"/></picture><span class="dcr-v822l1"><div class="dcr-gup2gr"><div class="dcr-zy1nbx"><label for="the-checkbox" class="dcr-1xgwz8b"><svg width="6" height="14" fill="white" viewBox="0 0 6 14"><path d="M4.6 12l-.4 1.4c-.7.2-1.9.6-3 .6-.7 0-1.2-.2-1.2-.9 0-.2 0-.3.1-.5l2-6.7H.7l.4-1.5 4.2-.6h.2L3 12h1.6zm-.3-9.2c-.9 0-1.4-.5-1.4-1.3C2.9.5 3.7 0 4.6 0 5.4 0 6 .5 6 1.3c0 1-.8 1.5-1.7 1.5z"></path></svg></label><input type="checkbox" id="the-checkbox"/> <div id="the-caption"><figcaption data-spacefinder-role="inline" class="dcr-1ie0kc7"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">John Horton Conway and his Leech lattice doodle.</span> Photograph: Hollandse Hoogte/Eyevine</figcaption></div></div></div></span><a href="#img-1" data-ignore="global-link-styling" aria-hidden="true" tabIndex="-1" class="open-lightbox dcr-13fd1ms"><button data-element-id="8689eb50-1196-4f42-838a-9bcbf272d9a4" type="button" aria-haspopup="dialog" class="open-lightbox dcr-4tmywn"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 8.75V1.5l-.5-.5h-7.25v1.25l4.5.6L14 8.575 15.4 10l5.75-5.725.6 4.475zm-22 6.5v7.25l.475.5h7.25v-1.25l-4.475-.6 5.725-5.775L8.6 14l-5.775 5.725-.575-4.475z"></path></svg><span class="dcr-194i6pr">View image in fullscreen</span></button></a></div><span class="dcr-n4pnam"><figcaption data-spacefinder-role="inline" class="dcr-1fujct4"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">John Horton Conway and his Leech lattice doodle.</span> Photograph: Hollandse Hoogte/Eyevine</figcaption></span></figure></div></div></div><aside style="--grid-area:title;" data-gu-name="title" class="dcr-1fnjjtg"><div class="dcr-10355cg"><div class="dcr-0"><div class="dcr-4pzc03"><span class="dcr-1v9xu6e"></span><a href="https://www.theguardian.com/news/series/the-long-read" data-component="series" data-link-name="article series" class="dcr-u0pbjs"><span>The long read</span></a><span class="dcr-n4pnam"><a href="https://www.theguardian.com/science/mathematics" data-component="section" data-link-name="article section" class="dcr-1v9e6r1"><span>Mathematics</span></a></span></div></div></div></aside><div style="--grid-area:border;" data-gu-name="border" class="dcr-1fnjjtg"><div class="dcr-upmzd8"></div></div><div style="--grid-area:headline;" data-gu-name="headline" class="dcr-1fnjjtg"><div class="dcr-14emo0l"><div class="dcr-cohhs3"><div class="dcr-notra3"><div aria-hidden="true" class="dcr-13832xi"><svg width="11" height="11" viewBox="0 0 11 11" fill="currentColor"><path d="M5.4 0C2.4 0 0 2.4 0 5.4s2.4 5.4 5.4 5.4 5.4-2.4 5.4-5.4S8.4 0 5.4 0zm3 6.8H4.7V1.7h.7L6 5.4l2.4.6v.8z"></path></svg> This article is more than <strong>9 years old</strong></div></div><h1 class="dcr-u0152o">John Horton Conway: the world’s most charismatic mathematician</h1><div class="dcr-1nvgr5i">This article is more than 9 years old</div></div></div></div><div style="--grid-area:standfirst;" data-gu-name="standfirst" class="dcr-1fnjjtg"><div class=" dcr-1mt0mpc"><p>John Horton Conway is a cross between Archimedes, Mick Jagger and Salvador Dalí. For many years, he worried that his obsession with playing silly games was ruining his career – until he realised that it could lead to extraordinary discoveries</p></div></div><aside style="--grid-area:meta;" data-gu-name="meta" class="dcr-1fnjjtg"><div class="dcr-14emo0l"><div class="dcr-ich95x"><svg xmlns="http://www.w3.org/2000/svg" width="100%" height="13" viewBox="0 0 1300 13" preserveAspectRatio="none" stroke="var(--straight-lines)" stroke-width="1" aria-hidden="true" focusable="false" class="dcr-194w08h"><line x1="0" x2="1300" y1="0.5" y2="0.5"></line><line x1="0" x2="1300" y1="4.5" y2="4.5"></line><line x1="0" x2="1300" y1="8.5" y2="8.5"></line><line x1="0" x2="1300" y1="12.5" y2="12.5"></line></svg></div></div><div class="dcr-bjqdol"><div class=" dcr-1v9sla6"><div class="dcr-5oiine"><div class="dcr-1kpcv08"><div><address aria-label="Contributor info" data-component="meta-byline" data-link-name="byline"><div class=" dcr-1cfpnlw"><a rel="author" data-link-name="auto tag link" href="https://www.theguardian.com/profile/siobhan-roberts">Siobhan Roberts</a></div></address><details style="--mobile-color:inherit;" class="dcr-1pexjb9"><summary class="dcr-1ybxn6r"><span class="dcr-u0h1qy">Thu 23 Jul 2015 06.00 BST</span></summary>Last modified on Wed 1 Sep 2021 12.00 BST</details></div></div><div data-print-layout="hide" class="dcr-9dgpdq"><div class=" dcr-16lnb0w"><gu-island name="ShareButton" priority="feature" deferUntil="visible" props="{"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","webTitle":"John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts","format":{"design":10,"display":2,"theme":0},"context":"ArticleMeta"}"><a href="mailto:?subject=John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts&body=https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world?CMP=share_btn_url" type="button" class="dcr-bao4ku">Share<div class="src-button-space"></div><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M19 16c1.675 0 3 1.35 3 3 0 1.675-1.325 3-3 3a2.97 2.97 0 0 1-2.975-3c0-.125 0-.275.025-.375L7.1 14.15a2.9 2.9 0 0 1-2.075.825C3.325 14.975 2 13.65 2 12a3.004 3.004 0 0 1 3.025-3.025c.775 0 1.5.35 2.075.875l8.95-4.475c-.025-.1-.025-.225-.025-.4A2.966 2.966 0 0 1 19 2c1.675 0 3 1.325 3 2.975C22 6.65 20.675 8 19 8c-.8 0-1.475-.325-2.05-.825l-8.975 4.45C8 11.7 8 11.825 8 12s0 .3-.025.375l8.975 4.45c.575-.5 1.25-.825 2.05-.825m0-12.8c-.975 0-1.8.775-1.8 1.775S18.025 6.8 19 6.8c1 0 1.825-.825 1.825-1.825S20 3.2 19 3.2m0 17.6c1 0 1.825-.825 1.825-1.8 0-1-.825-1.8-1.825-1.8-.975 0-1.8.8-1.8 1.8 0 .975.825 1.8 1.8 1.8"></path></svg></a></gu-island></div><div class=" dcr-1csot3r"><div class="dcr-14baf59"><div><gu-island name="CommentCount" priority="feature" deferUntil="idle" props="{"discussionApiUrl":"https://discussion.theguardian.com/discussion-api","shortUrlId":"/p/4aq42"}"></gu-island></div></div></div></div></div></div><div class="dcr-fu29fd"><span class="dcr-1lhv23l"><gu-island name="ExpandableMarketingCardWrapper" priority="enhancement" deferUntil="visible" props="{"guardianBaseURL":"https://www.theguardian.com"}"></gu-island></span></div></div></aside><div style="--grid-area:body;" data-gu-name="body" class="dcr-1upb05m"><span class="dcr-1iz7gbk"><gu-island name="ExpandableMarketingCardWrapper" priority="enhancement" deferUntil="idle" props="{"guardianBaseURL":"https://www.theguardian.com"}"></gu-island></span><div class="dcr-1a4fred"><div id="maincontent" class="dcr-1bwys2b"><div class="article-body-commercial-selector article-body-viewer-selector dcr-1q6n3e0"><p class="dcr-1eu361v"><span style="color:var(--drop-cap);font-weight:500;" class="dcr-15rw6c2">O</span>n a late September day in 1956, John Horton Conway left home with a trunk on his back. He was a skinny 18-year-old, with long, unkempt hair – a sort of proto-hippie – and although he generally preferred to go barefoot, on this occasion he wore strappy Jesus sandals. He travelled by steam train from Liverpool to Cambridge, where he was to start life as an undergraduate. During the five-hour journey, via Crewe with a connection in Bletchley, something dawned on him: this was a chance to reinvent himself.</p><p class="dcr-1eu361v">In junior school, one of Conway’s teachers had nicknamed him “Mary”. He was a delicate, effeminate creature. Being Mary made his life absolute hell until he moved on to secondary school, at Liverpool’s Holt High School for Boys. Soon after term began, the headmaster called each boy into his office and asked what he planned to do with his life. John said he wanted to read mathematics at Cambridge. Instead of “Mary” he became known as “The Prof”. These nicknames confirmed Conway as a terribly introverted adolescent, painfully aware of his own suffering.</p><div id="sign-in-gate"><gu-island name="SignInGateSelector" priority="feature" deferUntil="visible" props="{"contentType":"Article","sectionId":"science","tags":[{"id":"science/mathematics","type":"Keyword","title":"Mathematics"},{"id":"news/series/the-long-read","type":"Series","title":"The long read"},{"id":"science/science","type":"Keyword","title":"Science"},{"id":"education/princeton-university","type":"Keyword","title":"Princeton University"},{"id":"education/mathematics","type":"Keyword","title":"Mathematics"},{"id":"us-news/us-news","type":"Keyword","title":"US news"},{"id":"education/education","type":"Keyword","title":"Education"},{"id":"tone/features","type":"Tone","title":"Features"},{"id":"type/article","type":"Type","title":"Article"},{"id":"profile/siobhan-roberts","type":"Contributor","title":"Siobhan Roberts"},{"id":"publication/theguardian","type":"Publication","title":"The Guardian"},{"id":"theguardian/mainsection","type":"NewspaperBook","title":"Main section"},{"id":"theguardian/mainsection/the-long-read","type":"NewspaperBookSection","title":"The long read"}],"isPaidContent":false,"isPreview":false,"host":"https://www.theguardian.com","pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","idUrl":"https://profile.theguardian.com","switches":{"externalVideoEmbeds":true,"abSignInGateMainVariant":true,"lightbox":true,"abGpidPrebidAdUnits":true,"prebidAppnexusUkRow":true,"prebidMagnite":true,"commercialMetrics":true,"prebidTrustx":true,"scAdFreeBanner":false,"adaptiveSite":true,"prebidPermutiveAudience":true,"compareVariantDecision":false,"enableSentryReporting":true,"lazyLoadContainers":true,"ampArticleSwitch":true,"remarketing":true,"articleEndSlot":true,"keyEventsCarousel":true,"registerWithPhone":false,"darkModeWeb":true,"targeting":true,"remoteHeader":true,"slotBodyEnd":true,"prebidImproveDigitalSkins":false,"ampPrebidOzone":true,"extendedMostPopularFronts":true,"emailInlineInFooter":true,"showNewPrivacyWordingOnEmailSignupEmbeds":true,"prebidAnalytics":true,"extendedMostPopular":true,"ampContentAbTesting":false,"prebidCriteo":true,"okta":true,"imrWorldwide":true,"acast":true,"twitterUwt":true,"prebidAppnexusInvcode":true,"ampPrebidPubmatic":true,"abUsaExpandableMarketingCard":true,"a9HeaderBidding":true,"prebidAppnexus":true,"abOnwardsContentArticle":false,"enableDiscussionSwitch":true,"prebidXaxis":true,"stickyVideos":true,"interactiveFullHeaderSwitch":true,"discussionAllPageSize":true,"prebidUserSync":true,"audioOnwardJourneySwitch":true,"brazeTaylorReport":false,"callouts":true,"sentinelLogger":true,"geoMostPopular":true,"weAreHiring":false,"relatedContent":true,"thirdPartyEmbedTracking":true,"prebidOzone":true,"ampLiveblogSwitch":true,"ampAmazon":true,"prebidAdYouLike":true,"mostViewedFronts":true,"optOutAdvertising":true,"abSignInGateMainControl":true,"googleSearch":true,"disableFrontContainerShowHide":true,"abOptOutFrequencyCap":true,"brazeSwitch":true,"prebidKargo":true,"consentManagement":true,"personaliseSignInGateAfterCheckout":true,"prebidSonobi":true,"idProfileNavigation":true,"confiantAdVerification":true,"discussionAllowAnonymousRecommendsSwitch":false,"absoluteServerTimes":false,"permutive":true,"comscore":true,"ampPrebidCriteo":true,"newsletterOnwards":false,"youtubeIma":true,"webFonts":true,"liveBlogTopSponsorship":true,"prebidImproveDigital":false,"abAdBlockAsk":false,"ophan":true,"crosswordSvgThumbnails":true,"prebidTriplelift":true,"weather":true,"prebidPubmatic":true,"serverShareCounts":false,"autoRefresh":true,"enhanceTweets":true,"prebidIndexExchange":true,"prebidOpenx":true,"prebidHeaderBidding":true,"idCookieRefresh":true,"discussionPageSize":true,"smartAppBanner":false,"abNewHeaderBiddingEndpoint":true,"historyTags":true,"brazeContentCards":true,"remoteBanner":true,"emailSignupRecaptcha":true,"prebidSmart":true,"shouldLoadGoogletag":true,"inizio":true,"europeBetaFront":true}}"></gu-island></div><figure id="bfc023d3-5e88-415a-a282-8ff3808b2c00" data-spacefinder-role="richLink" data-spacefinder-type="model.dotcomrendering.pageElements.RichLinkBlockElement" class=" dcr-1your1i"><gu-island name="RichLinkComponent" priority="feature" deferUntil="idle" props="{"richLinkIndex":2,"element":{"_type":"model.dotcomrendering.pageElements.RichLinkBlockElement","prefix":"Related: ","text":"From the archives: John Horton Conway: the world’s most charismatic mathematician – podcast ","elementId":"bfc023d3-5e88-415a-a282-8ff3808b2c00","role":"richLink","url":"https://www.theguardian.com/news/audio/2021/sep/01/from-the-archives-john-horton-conway-the-worlds-most-charismatic-mathematician-podcast"},"ajaxUrl":"https://api.nextgen.guardianapps.co.uk","format":{"design":10,"display":2,"theme":0}}"><div data-print-layout="hide" data-link-name="rich-link-2 | 2" data-component="rich-link" data-name="placeholder" class="dcr-1kyw41h"><div data-format-theme="5" data-format-design="0" data-format-display="0" class="dcr-1q5os9"><a href="https://www.theguardian.com/news/audio/2021/sep/01/from-the-archives-john-horton-conway-the-worlds-most-charismatic-mathematician-podcast" class="dcr-1m887w9"><div class="dcr-1lhuo3r"></div><div class="dcr-ut4tvs"><div class="dcr-1h5b6rb"><div class="dcr-1dgt1gs">From the archives: John Horton Conway: the world’s most charismatic mathematician – podcast </div></div><div class="dcr-eurq8n"><svg width="24" height="24" viewBox="0 0 24 24"><g fill-rule="evenodd"><path d="m12 0c-6.627 0-12 5.373-12 12 0 6.627 5.373 12 12 12 6.627 0 12-5.373 12-12 0-6.627-5.373-12-12-12m.21 19l-.637-.668 4.888-6.326h-11.465v-1.01h11.465l-4.888-6.333.637-.668 6.79 7.158v.685l-6.79 7.157" class="rich-link__arrow-icon"></path></g></svg><div class="dcr-fkf7vq">Read more</div></div></div></a></div></div></gu-island></figure><p class="dcr-1eu361v">After loitering for a time with the teenage reprobates at the back of the classroom, Conway ultimately did well enough on the university entrance exams to receive a minor scholarship and get his name published in the Liverpool Daily Post. As he sat on the train to Cambridge, it dawned on him that since none of his classmates would be joining him at university, he would be able to transform himself into a new person: an extrovert! He wasn’t sure it would work. He worried that his introversion might be too entrenched, but he decided to try. He would be boisterous and witty, he would tell funny stories at parties, he would laugh at himself – that was key.</p><p class="dcr-1eu361v">“Roughly speaking,” he recalled, “I was going to become the kind of person you see now. It was a free decision.”</p><p class="dcr-1eu361v">Now 77, John Horton Conway is perhaps the world’s most lovable egomaniac. He is Archimedes, Mick Jagger, Salvador Dalí, and <a href="https://www.theguardian.com/science/2011/may/15/quantum-man-richard-feynman-review" data-link-name="in body link">Richard Feynman</a>, all rolled into one. He is one of the greatest living mathematicians, with a sly sense of humour, a polymath’s promiscuous curiosity, and a compulsion to explain everything about the world to everyone in it. According to Sir Michael Atiyah, former president of the Royal Society and arbiter of mathematical fashion, “Conway is the most magical mathematician in the world.”</p><p class="dcr-1eu361v">For the last quarter century Conway has held the position of Princeton’s John von Neumann distinguished professor in applied and computational mathematics, now emeritus. Before that, he spent three decades at Cambridge, where in the 1970s, he dived deep into the vast ocean of mathematical symmetry. He discovered a 24-dimensional symmetry group that came to bear his name, and, with his colleague Simon Norton, he illuminated the 196,883-dimensional Monster group with a paper titled “Monstrous Moonshine”. Conway also discovered a new class of numbers, infinitely large and infinitesimally small, which are now known as “surreal numbers”. Those achievements earned him a spot as a fellow of the Royal Society of London for Improving Natural Knowledge, the oldest scientific society in the world. Conway likes to mention that when he was elected in 1981, he signed the big book of fellows at the induction ceremony and was pleased to see on previous pages the names Isaac Newton, Albert Einstein, Alan Turing, and Bertrand Russell.</p><p class="dcr-1eu361v">Conway’s is a jocund and playful egomania, sweetened by self-deprecating charm. He has on many occasions admitted: “I do have a big ego! As I often say, modesty is my only vice. If I weren’t so modest, I’d be perfect.” That said, he is irresistibly drawn to piddling away his days playing games, preferably silly children’s games. While his colleagues zealously guard their vacations for uninterrupted research time, Conway prefers to spend his summers hopping between maths camps for students. This July, for instance, Conway is playing games at a maths camp for teens in Bremen, Germany, and then flying over to Portland, Oregon, for a middle-schoolers’ camp.</p><p class="dcr-1eu361v">This lust for the seemingly trivial has consumed a remarkable amount of Conway’s time and energy. In addition to all the gaming, he’s also been infatuated with factoring large numbers in his head; with reciting pi from memory to 1,111+ digits; with calculating, nearly instantaneously, the day of the week for any given date using what he calls his “Doomsday” algorithm. He’s invented many peculiar algorithms—for counting stairs while you climb without actually counting, and for how best to read through a stack of double-sided loose-leaf pages. And he’s been known to carry on his person decks of cards, dice, ropes, pennies, coat hangers, sometimes a Slinky, maybe a miniature toy bicycle, all props he deploys both for explaining ideas and for his own amusement.</p><p class="dcr-1eu361v">While there may seem little method to this madness, curiosity-driven research is attracting renewed attention and support as a strategy for success in the sciences, both pure and applied, and economically for society as a whole. At the first National <a href="https://www.theguardian.com/education/mathematics" data-link-name="in body link" data-component="auto-linked-tag">Mathematics</a> Festival in Washington in April, the Italian economist Mario Draghi, president of the European Central Bank and one of the keynote speakers, noted that to believe and invest in fundamental research is to believe and invest in the future – that with increasing constraints on demographic and natural resources, and the impending “secular stagnation” as some call it, the countries that make fundamental research in maths and science a high priority will be the countries that prosper economically. Although Conway himself regards money with an indifference verging on contempt, he is a crusading ambassador for simple curiosity, which he considers the universal force driving discovery.</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>By 1964, a couple of years longer</strong> than it should have taken, Conway finished his PhD thesis, which explored a modest byway of set theory. He then needed a job. This was a challenge. Not because there weren’t jobs to be had, nor because he wasn’t qualified. The insuperable obstacle was merely applying. As the end of his PhD funding approached, Conway did nothing. He remembers walking down the street and bumping into Ian Cassels, a canny Scot who for a time held the post of the Sadleirian professor of pure mathematics, and also the position of department head. Cassels asked him, “What have you done about a job?”</p><p class="dcr-1eu361v">“Er, nothing,” replied Conway.</p><p class="dcr-1eu361v">“There’s a position opening here, why don’t you apply?”</p><p class="dcr-1eu361v">“How do I go about it?”</p><p class="dcr-1eu361v">“You write me a letter.”</p><p class="dcr-1eu361v">“What should I say?”</p><p class="dcr-1eu361v">Cassels took pity. He offered to write the letter for Conway. He sat down at the side of the road on a stone wall in front of King’s College, rummaged through his briefcase, found a pen, pulled out a piece of paper, and began, “Dear Professor Cassels, I wish to apply for …” He handed it to Conway and instructed him to sign, and Cassels filed the letter away in his briefcase. Victory was his, Conway was sure. A while later he got the news in the mail: “I’m terribly sorry,” Cassels wrote. “You didn’t get the job.” But, he continued, “there is another position coming open next year, and unless you indicate your wishes to the contrary, I shall take your previous letter as a letter of application for that position.” Conway succeeded in obtaining this second position. He became an assistant lecturer.</p><figure id="4cb209aa-7ed5-4cfc-9904-597895850080" data-spacefinder-role="showcase" data-spacefinder-type="model.dotcomrendering.pageElements.ImageBlockElement" class=" dcr-5h0uf4"><div id class="dcr-1t8m8f2"><picture class="dcr-evn1e9"><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=880&dpr=2&s=none&crop=none" media="(min-width: 1300px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1300px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=880&dpr=1&s=none&crop=none" media="(min-width: 1300px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=800&dpr=2&s=none&crop=none" media="(min-width: 1140px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1140px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=800&dpr=1&s=none&crop=none" media="(min-width: 1140px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=640&dpr=2&s=none&crop=none" media="(min-width: 980px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 980px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=640&dpr=1&s=none&crop=none" media="(min-width: 980px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=620&dpr=2&s=none&crop=none" media="(min-width: 660px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 660px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=620&dpr=1&s=none&crop=none" media="(min-width: 660px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=605&dpr=2&s=none&crop=none" media="(min-width: 480px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 480px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=605&dpr=1&s=none&crop=none" media="(min-width: 480px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=445&dpr=2&s=none&crop=none" media="(min-width: 320px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 320px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=445&dpr=1&s=none&crop=none" media="(min-width: 320px)"/><img alt="John Conway in his office at Princeton in 1993." src="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584183895/4c3c1adf-4c99-4d0c-b3dd-0d92d9d6dc6a-620x372.jpeg?width=445&dpr=1&s=none&crop=none" width="445" height="267" loading="lazy" class="dcr-evn1e9"/></picture></div><figcaption data-spacefinder-role="inline" class="dcr-1pvqcrw"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">John Conway in his office at Princeton in 1993.</span> Photograph: Dith Pran/The New York Times/Red/Eyevine</figcaption></figure><p class="dcr-1eu361v">The students loved their new lecturer as much for his mind as his high jinks. He had a homely lecturing style, discussing abstract concepts in terms of trains and cars, cats and dogs. In lecturing on symmetry and the Platonic solids, he sometimes brought a large turnip and a carving knife to class, transforming the vegetable one slice at a time into an icosahedron with 20 triangular faces, eating the scraps as he went.</p><p class="dcr-1eu361v">For one student, Edward Welbourne, now a software engineer in Oslo, the most memorable was Conway’s linear algebra course – specifically, a session wherein Conway proved that for two symmetric quadratic forms, both can be simultaneously diagonalised (no small feat). “Doing each takes a moderately tricky piece of computation,” said Welbourne. “To do two at the same time is thus doubly tricky, like balancing a broom by its handle on one’s chin while juggling.” This is exactly what Conway did, while concluding the proof. When I mentioned this to Conway, he quibbled that in fact he had balanced a broom on his chin and simultaneously balanced a penny on the hook of a coat hanger and then with a centrifugal swoop spun this coat hanger contraption around like a helicopter rotor.</p><p class="dcr-1eu361v">Such incidents inspired the creation of the John Conway Appreciation Society. “He was by far the most charismatic lecturer in the faculty,” said his Cambridge colleague, Sir Peter Swinnerton-Dyer. “I’m not sure that I can describe how charisma happens. It just is or isn’t. And with most mathematicians it markedly isn’t.”</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>Part of Conway’s charm is his talent</strong> for spinning tales – he seems almost as expert at storytelling as he is at discovering deep mathematical truths. A favourite in his repertoire involves Oliver Cromwell, lord protector of the Commonwealth and fellow circa 1616 of Sidney Sussex College, where Conway also belonged as a fellow. Working on his biography, I heard it many times from Conway himself, and during a research trip to Cambridge I heard it again from his first wife, Eileen.</p><p class="dcr-1eu361v">Late one night in the early 1960s, Conway came home and told Eileen of an odd party he’d just attended. At the summons of the master of college, Conway and select fellows gathered for a private dinner, together with the college chaplain and alumnus Dr Horace Wilkinson, an anaesthetist, whose family had kept Cromwell’s head in a velvet-lined oak box for nearly 150 years. Wilkinson donated to the college the well-travelled skull, with the intention that it finally be laid to rest. To hear Conway’s telling, it was a raucous night, with ample drink and a sumptuous dinner, after which the master led a candlelit procession to the antechapel, where the chaplain gave a brief service, followed by the burial and consecration.</p><p class="dcr-1eu361v">Stopping by Sidney Sussex College to do some fact checking, I asked after Cromwell. The porter escorted me to the antechapel and pointed to a plaque on the wall: “Near to this place was buried on 25 March 1960 the head of Oliver Cromwell.” This prompted me to put a few questions to Conway. Where exactly was the dinner? What was on the menu? What was the conversation at the table? And, had he actually seen the head? My questions were not greeted with Conway’s usual know-it-all enthusiasm. “<em>Yeeesss?</em>” he said. “That is a great story, isn’t it? And I often tell that story with myself playing a supporting role. As if I had actually been there.”</p><p class="dcr-1eu361v">He had made it up – he wasn’t even a fellow at Sidney Sussex until 1964. He’d no doubt heard rumours, and in an opportune moment, when he needed a captivating story to tell, he claimed this tale as his own, because, well, it was a great story. The incident revealed Conway as an accomplished fictioneer and a rather unreliable narrator of his own life.</p><p class="dcr-1eu361v">There is a cartoon drawing of Conway that neatly captures this devilishness. Growing from his head is a “horned sphere,” a topological entity classified more generally as a “pathological example” and known for being counterintuitive and ill-behaved, much like Conway himself. In attempting to get a better read on Conway and his caricature, I consulted Irving Lavin, an art historian at the institute for advanced study in Princeton. Lavin noted that Conway was in good company among artists – Picasso, for one – who matched creativity with promiscuity, both intellectual and interpersonal. So maybe Conway’s seeming inability to distinguish fact from fiction correlated to his uncanny ability to see mathematics differently, to pursue pure curiosity-driven research no matter how superficially trivial, and to achieve his idiosyncratically original results.</p><figure id="873fde0b-19a3-4643-9952-84a01486ce5b" data-spacefinder-role="supporting" data-spacefinder-type="model.dotcomrendering.pageElements.ImageBlockElement" class=" dcr-a2pvoh"><div id="img-2" class="dcr-1t8m8f2"><picture class="dcr-evn1e9"><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=380&dpr=2&s=none&crop=none" media="(min-width: 1300px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1300px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=380&dpr=1&s=none&crop=none" media="(min-width: 1300px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=300&dpr=2&s=none&crop=none" media="(min-width: 980px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 980px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=300&dpr=1&s=none&crop=none" media="(min-width: 980px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=620&dpr=2&s=none&crop=none" media="(min-width: 660px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 660px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=620&dpr=1&s=none&crop=none" media="(min-width: 660px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=605&dpr=2&s=none&crop=none" media="(min-width: 480px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 480px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=605&dpr=1&s=none&crop=none" media="(min-width: 480px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=445&dpr=2&s=none&crop=none" media="(min-width: 320px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 320px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=445&dpr=1&s=none&crop=none" media="(min-width: 320px)"/><img alt="A cartoon of Conway." src="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584393771/3db9c18e-188b-4fdc-a073-8cea4014a18c-1360x2040.jpeg?width=445&dpr=1&s=none&crop=none" width="445" height="667.5" loading="lazy" class="dcr-evn1e9"/></picture><a href="#img-2" data-ignore="global-link-styling" aria-hidden="true" tabIndex="-1" class="open-lightbox dcr-13fd1ms"><button data-element-id="873fde0b-19a3-4643-9952-84a01486ce5b" type="button" aria-haspopup="dialog" class="open-lightbox dcr-1sv232j"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 8.75V1.5l-.5-.5h-7.25v1.25l4.5.6L14 8.575 15.4 10l5.75-5.725.6 4.475zm-22 6.5v7.25l.475.5h7.25v-1.25l-4.475-.6 5.725-5.775L8.6 14l-5.775 5.725-.575-4.475z"></path></svg><span class="dcr-194i6pr">View image in fullscreen</span></button></a></div><figcaption data-spacefinder-role="inline" class="dcr-1pvqcrw"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">A cartoon of Conway.</span> Photograph: Simon J Fraser</figcaption></figure><p class="dcr-1eu361v">Through the early to mid 1960s, however, Conway didn’t accomplish much. He spent the majority of his time playing games, inventing games – such as Sprouts, with graduate student Michael Paterson – and reinventing rules to games he found boring, such as chess. He liked games that moved in a flash. He played backgammon constantly, for small stakes – chalk, honour – though he never got very good at it. By all outward appearances he was blissfully playing around, but Conway was well aware he was doing nothing, had done nothing. He began to worry that he didn’t deserve his job, that he was on the verge of being sacked. He was pissing away his days playing games, though with an ever present grouping of student disciples gathered at his knee. He oscillated between having fun and feeling guilty and depressed. He calls this period in his life “The Black Blank”. Inwardly he worried that his mathematical soul was withering away.</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>In August 1966, the International Congress</strong> of Mathematicians convened at Moscow State University, and it was there, reclining against a giant cylindrical pillar at least 5ft in diameter, that Conway turned a crucial corner. A man approached and asked, “Are you Conway?” The interlocutor was John McKay, then a PhD student the University of Edinburgh (now a professor at Concordia University in Montreal).</p><aside data-spacefinder-role="supporting" class="dcr-1eyan6r"><svg viewBox="0 0 22 14" style="fill:var(--pullquote-icon);" class="dcr-scql1j"><path d="M5.255 0h4.75c-.572 4.53-1.077 8.972-1.297 13.941H0C.792 9.104 2.44 4.53 5.255 0Zm11.061 0H21c-.506 4.53-1.077 8.972-1.297 13.941h-8.686c.902-4.837 2.485-9.411 5.3-13.941Z"></path></svg><blockquote class="dcr-zzndwp">He spent most of his time playing games, inventing games and reinventing rules to games he found boring, such as chess</blockquote></aside><p class="dcr-1eu361v">McKay had a tip for Conway; he suggested that it might be worthwhile exploring a mathematical commodity that had recently attracted interest: the Leech lattice (discovered by the University of Stirling’s John Leech) – the best lattice for a sphere packing in 24 dimensions, with the “lattice” being a set of points derived from the centres of the spheres.</p><p class="dcr-1eu361v">By analogy, consider that the best packing of circles in two dimensions is the hexagonal, because if you connect the dots of the centres of any six circles surrounding a central circle (pennies on a table, say), these central dots connect to form hexagons. The arrangement of circles has 12 symmetries; it can be rotated or reflected in 12 different ways and it looks exactly the same. By extension, then, mathematicians suspected that the Leech lattice might contain an exquisitely large and coveted symmetry.</p><p class="dcr-1eu361v">The Leech lattice intrigued Conway. He decided to go hunting for this big symmetry, for the lattice’s “symmetry group”. Conway told his wife that were he to succeed, this would make his name. By now he had four young daughters – he memorised his girls’ birthdates by classifying them as “the 60-Fibs”, since they were born in 1960 plus the <a href="https://www.theguardian.com/science/2011/nov/27/fibonacci-numbers-keith-devlin-review" data-link-name="in body link">Fibonacci</a> numbers, ie 1960 + 2, 3, 5, 8 = 1962, 1963, 1965, 1968. And in setting out in search of the group, he told Susie, Rosie, Ellie and Annie that Daddy wasn’t to be disturbed. He planned to set aside Wednesday nights from six o’clock to midnight and Saturdays from noon to midnight, for as long as necessary. He put away the games. He would play around with the Leech lattice instead.</p><figure id="a5dbfa99-89f0-4cb1-83f6-dcd8e3259d35" data-spacefinder-role="supporting" data-spacefinder-type="model.dotcomrendering.pageElements.ImageBlockElement" class=" dcr-a2pvoh"><div id="img-3" class="dcr-1t8m8f2"><picture class="dcr-evn1e9"><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=380&dpr=2&s=none&crop=none" media="(min-width: 1300px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1300px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=380&dpr=1&s=none&crop=none" media="(min-width: 1300px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=300&dpr=2&s=none&crop=none" media="(min-width: 980px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 980px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=300&dpr=1&s=none&crop=none" media="(min-width: 980px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=620&dpr=2&s=none&crop=none" media="(min-width: 660px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 660px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=620&dpr=1&s=none&crop=none" media="(min-width: 660px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=605&dpr=2&s=none&crop=none" media="(min-width: 480px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 480px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=605&dpr=1&s=none&crop=none" media="(min-width: 480px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=445&dpr=2&s=none&crop=none" media="(min-width: 320px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 320px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=445&dpr=1&s=none&crop=none" media="(min-width: 320px)"/><img alt="Leech lattice doodle" src="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437584807962/16616f5e-f410-42e4-8dd8-ae92c5220462-1360x2040.jpeg?width=445&dpr=1&s=none&crop=none" width="445" height="667.5" loading="lazy" class="dcr-evn1e9"/></picture><a href="#img-3" data-ignore="global-link-styling" aria-hidden="true" tabIndex="-1" class="open-lightbox dcr-13fd1ms"><button data-element-id="a5dbfa99-89f0-4cb1-83f6-dcd8e3259d35" type="button" aria-haspopup="dialog" class="open-lightbox dcr-1sv232j"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 8.75V1.5l-.5-.5h-7.25v1.25l4.5.6L14 8.575 15.4 10l5.75-5.725.6 4.475zm-22 6.5v7.25l.475.5h7.25v-1.25l-4.475-.6 5.725-5.775L8.6 14l-5.775 5.725-.575-4.475z"></path></svg><span class="dcr-194i6pr">View image in fullscreen</span></button></a></div><figcaption data-spacefinder-role="inline" class="dcr-1pvqcrw"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">Conway’s Leech lattice doodle.</span> Photograph: John Horton Conway</figcaption></figure><p class="dcr-1eu361v">“Conway is the rare sort of mathematician whose ability to connect his pet mathematical interests makes one wonder if he isn’t, at some level, shaping mathematical reality and not just exploring it,” James Propp, a professor of mathematics at the University of Massachusetts Lowell, once told me. “The example of this that I know best is a connection he discovered between sphere packing and games. These were two separate areas of study that Conway had arrived at by two different paths. So there’s no reason for them to be linked. But somehow, through the force of his personality, and the intensity of his passion, he bent the mathematical universe to his will.”</p><p class="dcr-1eu361v">And he almost seemed to do the same while looking for the Leech lattice’s symmetry group. Conway had expected to keep to his house-arrest work ethic for weeks or months or beyond. Locking himself away that first Saturday, he unfurled an unused roll of wallpaper backing paper and sketched out all he knew about the problem. By that very evening, he’d figured it out. He’d deduced the Leech lattice’s number of symmetries. It was: 4,157,776,806,543,360,000. Or possibly double that. He telephoned Cambridge’s John Thompson, the God of group theory, and they determined it was the double: 8,315,553,613,086,720,000.</p><p class="dcr-1eu361v">When I pestered Conway for more details regarding the seminal Moscow meeting that inspired his triumphant half-day of discovery, he begged off. He was loth to add any “spurious precision”, as he came to refer to his embellishments, advertent or accidental. “My memory. My memory is a liar,” he said. “It’s a good liar. It deceives even me.”</p><p class="dcr-1eu361v">One thing he was willing to discuss was what precisely he was doing when he was looking for the group. For instance, when he was working with the lattice, he wasn’t just working with the basic (x, y) coordinates, he was working with 24-dimensional coordinates – for example: (3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)</p><p class="dcr-1eu361v">And some of the work was as simple as applying the Pythagorean theorem. Still Conway refused to pull back the curtain too far. “Yes, it’s true, my calculations, technically speaking, were using Pythagoras’ theorem,” he said. “But to concentrate on the calculation is misleading. It’s like asking an artist, ‘Where did you paint the person’s chin? Was it one-foot-five above the base of the picture, or one-foot-six?’ If you’re thinking about conceptual things, the measurements don’t matter … It’s rather unfortunate that we can’t just see these things. Because it means that I can only appreciate the beauty of them, truly, after I’ve have done the calculation. Since I can’t conjure up 24-dimensional space, I use numbers to do it.</p><p class="dcr-1eu361v">“For a time I was thinking so geometrically about these things that I used to imagine myself with lots and lots of arms and legs, extra limbs. Because if I have two arms and point ’em out, then they both lie in a plane. And I’ll use a leg as well, and now they are lying in three-dimensional space. To form an adequate idea, an adequate geometric visualisation, of what is going on in 24 dimensions is more or less impossible. In large dimensional space, there are large numbers of directions to point, so you would seem to need quite a lot of arms and legs. I distinctly remember imagining myself stuck in the middle of this space, and waving all my arms and legs in the air, and trying to understand things, looking up at the stars, pretending they are the lattice points, and just sort of daydreaming.”</p><p class="dcr-1eu361v">As tradition dictates, Conway’s discovery of the Leech lattice’s symmetry meant that it became known as the Conway group (which in fact contains three smaller groups, sometimes collectively called the Conway constellation). This was the hot mathematical news of the day and earned him invitations to lecture across the globe.</p><p class="dcr-1eu361v">It was at this juncture, having found his namesake group, that Conway made what he called “The Vow”, promising himself: “Thou shalt stop worrying and feeling guilty; thou shalt do whatever thou pleasest.” He no longer worried that he was eroding his mathematical soul when he indulged his curiosity and followed wherever it went, whether towards recreation or research, or somewhere altogether nonmathematical, such as his longing to learn the etymology of words. Conway’s fate now was to do all the stuff that he had formerly feared his fellow mathematicians might floccinaucinihilipilificate. “Floccinaucinihilipilification” is his favourite word. He reckons it’s the longest word in the Oxford English Dictionary (it is certainly in the top three), and without prompting he gives an account of its etymology: it is a Latin-based word, invented circa 1730 at Eton as a schoolboy’s joke. And, Conway recites nearly verbatim the OED’s definition: “the action or habit of estimating as worthless.”</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>The period of time during which Conway</strong> discovered his group, circa 1969 – though he prefers to round it up to 1970 – he calls his annus mirabilis. Within roughly the same 12-month period he also discovered his surreal numbers. This came as a direct if unexpected byproduct of playing all those games, when he noticed that big games broke down into a sum of small games. He deconstructed the games, classifying the moves of each player, determining who was ahead and by how much, and while doing this deconstructing, analysing the sum of mini games within the larger game, he happened upon the surreal numbers. Like an <a href="https://www.google.co.uk/search?q=Escher+optical+illusion&espv=2&biw=1897&bih=1136&tbm=isch&tbo=u&source=univ&sa=X&ved=0CCAQsARqFQoTCPiXvbvv7sYCFXEj2wodZuEPJw" data-link-name="in body link">Escher optical illusion</a> – say, a regular tessellation of birds morphing into fish – Conway beheld the game, and then he saw that it embedded or contained something else entirely: the numbers.</p><p class="dcr-1eu361v">That same year he also invented the Game of Life, a cellular automaton that to this day retains cult status. It is not a game proper; Conway calls it a “no-player never-ending” game. It is played on a grid, like tic-tac-toe and, according to three simple rules of Conway’s devising, the cells placed on the grid proliferate, resembling skittering micro-organisms viewed under a microscope. A cellular automaton is in essence a little machine with groups of cells that evolve from iteration to iteration in discrete rather than continuous time – in seconds, say, each tick of the clock advances the next iteration, and then over time, behaving a bit like a transformer or a shape-shifter, the cells evolve into something, anything, everything else. As such, the Game of Life demonstrates how simplicity generates complexity, providing an analogy for all of mathematics, and the entire universe.</p><figure id="e4aae295-8537-4bbc-9304-6cd2ce9ee47b" data-spacefinder-role="showcase" data-spacefinder-type="model.dotcomrendering.pageElements.ImageBlockElement" class=" dcr-5h0uf4"><div id="img-4" class="dcr-1t8m8f2"><picture class="dcr-evn1e9"><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=880&dpr=2&s=none&crop=none" media="(min-width: 1300px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1300px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=880&dpr=1&s=none&crop=none" media="(min-width: 1300px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=800&dpr=2&s=none&crop=none" media="(min-width: 1140px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 1140px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=800&dpr=1&s=none&crop=none" media="(min-width: 1140px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=640&dpr=2&s=none&crop=none" media="(min-width: 980px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 980px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=640&dpr=1&s=none&crop=none" media="(min-width: 980px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=620&dpr=2&s=none&crop=none" media="(min-width: 660px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 660px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=620&dpr=1&s=none&crop=none" media="(min-width: 660px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=605&dpr=2&s=none&crop=none" media="(min-width: 480px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 480px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=605&dpr=1&s=none&crop=none" media="(min-width: 480px)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=445&dpr=2&s=none&crop=none" media="(min-width: 320px) and (-webkit-min-device-pixel-ratio: 1.25), (min-width: 320px) and (min-resolution: 120dpi)"/><source srcSet="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=445&dpr=1&s=none&crop=none" media="(min-width: 320px)"/><img alt="Conway playing Game of Life." src="https://i.guim.co.uk/img/static/sys-images/Guardian/Pix/pictures/2015/7/22/1437585075275/0874b6b2-7ace-4752-b81d-dbf5282946cd-2060x1236.jpeg?width=445&dpr=1&s=none&crop=none" width="445" height="267" loading="lazy" class="dcr-evn1e9"/></picture><a href="#img-4" data-ignore="global-link-styling" aria-hidden="true" tabIndex="-1" class="open-lightbox dcr-13fd1ms"><button data-element-id="e4aae295-8537-4bbc-9304-6cd2ce9ee47b" type="button" aria-haspopup="dialog" class="open-lightbox dcr-4tmywn"><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M23 8.75V1.5l-.5-.5h-7.25v1.25l4.5.6L14 8.575 15.4 10l5.75-5.725.6 4.475zm-22 6.5v7.25l.475.5h7.25v-1.25l-4.475-.6 5.725-5.775L8.6 14l-5.775 5.725-.575-4.475z"></path></svg><span class="dcr-194i6pr">View image in fullscreen</span></button></a></div><figcaption data-spacefinder-role="inline" class="dcr-1pvqcrw"><span class="dcr-1inf02i"><svg width="18" height="13" viewBox="0 0 18 13"><path d="M18 3.5v8l-1.5 1.5h-15l-1.5-1.5v-8l1.5-1.5h3.5l2-2h4l2 2h3.5l1.5 1.5zm-9 7.5c1.9 0 3.5-1.6 3.5-3.5s-1.6-3.5-3.5-3.5-3.5 1.6-3.5 3.5 1.6 3.5 3.5 3.5z"></path></svg></span><span class="dcr-1qvd3m6">Conway playing Game of Life, which he invented in 1970.</span> Photograph: Kelvin Brodie/the Sun</figcaption></figure><p class="dcr-1eu361v">Conway summed up his annus mirabilis thus: “Before, everything I touched turned to nothing. Now I was Midas, and everything I touched turned to gold.” Nevertheless, it was more than a decade later that the Royal Society installed him as a Fellow in 1981. Thereupon Conway went around Cambridge translating the initials FRS (fellow of the Royal Society), telling people he was now officially a “Filthy Rotten Swine!”</p><p class="dcr-1eu361v">The year 1985 also proved productive for Conway – if not quite another annus mirabilis, it came close. He had continued his sphere packing work with AT&T Labs mathematician Neil Sloane, and that year the duo secured US Patent No. 4,507,648, “Decoding Techniques for Multi-Dimensional Codes”, applying their sphere-packing in coding theory, figuring out how to most efficiently send signals across telephone and fibre-optic lines. This and other papers on the subject were recognised with a prize from the IEEE Information Theory Society; they possessed a superior understanding of multidimensional geometry, and they were solving crucial problems necessary for higher-dimensional coding.</p><p class="dcr-1eu361v">Also in 1985, after 15 years of gestation, Conway and his coauthoring “sum chums” (Robert Curtis, Simon Norton, Richard Parker and Robert Wilson) published the <a href="http://www.amazon.co.uk/ATLAS-Finite-Groups-Subgroups-Characters/dp/0198531990/ref=sr_1_1?s=books&ie=UTF8&qid=1314023319&sr=1-1" data-link-name="in body link">ATLAS of Finite Groups</a>, perhaps the most important book in group theory, a realm subsequently picked up by physicists, with “supersymmetry” offering a crucial extension to the <a href="https://www.theguardian.com/science/life-and-physics/2014/jun/01/gravity-versus-the-standard-model" data-link-name="in body link">Standard Model of particle physics</a>, the model explaining the basic building blocks of the universe and the fundamental forces of nature.</p><p class="dcr-1eu361v">The same year, Conway accepted an invitation to speak at Princeton, which eventually led to a job offer. He took up a full-time position in 1987. For Princeton, it was a coup. The communications office sent out a glossy press release and the university president, in announcing the hire, praised Conway as a “multifaceted phenomenon … one of the most eminent mathematicians of the century”.</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>In 1993, Conway attracted the attention</strong> of a New York Times reporter. The resulting profile opened with what Conway calls his “doomsday rule”, an algorithm by which he can calculate the day of the week for any given date:</p><blockquote data-spacefinder-role="inline" class="dcr-w9py1s"> <p>“Dr John H Conway sits down at his computer and gets ready to log on. But before the computer allows him to begin work, it quickly spews out 10 randomly selected dates from the past and the future, dates like 3/15/2005 or 4/29/1803. Dr Conway has to mentally calculate what day of the week each would be before his computer lets him open a file and get to work. It is a game he has rigged up to play with himself.”</p> </blockquote><p class="dcr-1eu361v">After inventing the Doomsday game of sorts in 1972, Conway had set a goal to double his speed every five years for doing 10 dates in rapid succession. Landing at Princeton did nothing to put him off course. “Why did I want to be fast? It’s impressive,” he said. “It’s a nice party trick. I don’t know that it ever got me any girls, but it’s the sort of thing that might’ve done occasionally with the right girl, a certain type of girl.”</p><p class="dcr-1eu361v">His record was then 15.92 seconds to calculate all 10 dates, roughly 1.5 seconds for each one. He was on track with his doubling goal, and he informed the reporter that he was the fastest person in the world.</p><p class="dcr-1eu361v">The fastest, that is, until Stephen D Miller, a 19-year-old PhD student, arrived on the scene in the early 1990s. He and Conway entered into hostile competition to see who could smack out 10 dates faster. Conway used this as a strategy to keep his brain sharp and ward off aging, a worry that was increasingly playing on his mind. He had always avoided mirrors, never much liking his appearance, and as the years clicked onward he also avoided catching sight of his reflection in shop windows.</p><p class="dcr-1eu361v">These were turbulent times for Conway. He had survived a difficult divorce from his second wife, Larissa (with whom he has two boys, Alex and Oliver, both now pursuing mathematics, at Rutgers and NYU respectively), as well as a heart attack, and attempted suicide. He had suffered bouts of depression in the past, and after the heart attack he got depressed again – contributing factors being the acrimony with Larissa, alienation from his young boys, and money troubles. He ate a stash of sleeping pills like an entrée at lunch with Larissa and her lawyer.</p><p class="dcr-1eu361v">Following the suicide attempt he made his comeback, so to speak – his re-entry to daily life, knowing full well that people around town were talking – by borrowing a T-shirt belonging to his rock climber friend Neil Sloane, and wearing it around town for days, emblazoned as it was with the big bold letters “SUICIDE” and the tiny word “rock” beneath. Conway thereby instituted his “Let It All Hang Out Policy”, which involved frequently and flippantly recounting this trying chapter in his life – even to this day, he sometimes off-handedly adds it as a chatty preface to a lecture about maths.</p><p class="dcr-1eu361v">Shortly following this dark period, during a manic intellectual cliff-jumping escapade, Conway wondered what his time would be with the help of GAD – short for “Gimme A Date!” – a computer program one of his graduate students had designed to help Conway get even quicker. He was nearly too scared to try. He sat down at the computer and ripped off 10 dates in an astonishing 9.62 seconds. “I didn’t try again,” he recalled. “My heart was pumping away like mad. I got this enormous amount of adrenaline, I actually felt liquids pouring into my brain. And it was scary as all hell. But it was interesting, taking the lid off and seeing how the brain works.”</p><p class="dcr-1eu361v">In the end, not counting Conway’s manic 9.62 seconds, Steve Miller prevailed in the GAD competition – Miller calculated ten dates in 10.66 seconds; his brain was much younger, plain and simple (he is now a professor and vice-chair of the maths department at Rutgers). But no matter. This routine for Conway was all part of deceiving himself into believing he was still only five years older than his students. It was getting to the point, however, where he wasn’t so easily fooled. “You are young, and then you are old. And here, I’m always surrounded by brilliant young mathematicians. How do you keep your end up?”</p><aside data-spacefinder-role="supporting" class="dcr-1eyan6r"><svg viewBox="0 0 22 14" style="fill:var(--pullquote-icon);" class="dcr-scql1j"><path d="M5.255 0h4.75c-.572 4.53-1.077 8.972-1.297 13.941H0C.792 9.104 2.44 4.53 5.255 0Zm11.061 0H21c-.506 4.53-1.077 8.972-1.297 13.941h-8.686c.902-4.837 2.485-9.411 5.3-13.941Z"></path></svg><blockquote class="dcr-zzndwp">You are young, then you are old. I’m always surrounded by brilliant young mathematicians. How do you keep your end up?</blockquote><footer><cite>John Horton Conway</cite></footer></aside><p class="dcr-1eu361v">Keeping up with the youngsters is the gist of what Conway calls his “Nerd’s Nightmare”: A hunchbacked centenarian, looking a wreck, he hobbles into the Princeton maths department common room. A graduate student asks: “Who’s the old geezer?” Her friend says: “I think that’s what’s-his-name …? Conway!” Conway sits there wearing his Mona Lisa smile, waiting for an opportunity to pounce. Finally, in the course of the students’ conversation they happen to mention a date. “When were you born, again?” “April 1, 2015.” And quick as a flash Conway works it out: “THAT WAS A WEDNESDAY!” And the students say to themselves: “Oh, there is someone in there.”</p><p class="dcr-1eu361v">“It’s my insurance policy against old age,” explained Conway. “This decrepit old guy snaps off a date.”</p><hr class="dcr-z9ge1j"/><p class="dcr-1eu361v"><strong>In spring 2009, three years after he suffered</strong> a stroke that spared him intellectually but left him with a cane and a gammy right side, Conway delivered a six-part lecture series on his latest brainchild: The Free Will Theorem, devised with his Princeton colleague Simon Kochen. The theorem deploys a motley combination of quantum mechanics axioms, philosophy, and geometry. It is most simply stated as follows: If physicists have free will while performing experiments, then elementary particles possess free will as well, and this probably explains why and how humans have free will in the first place.</p><p class="dcr-1eu361v">As unlikely as it sounds, it is a line of thinking that has an illustrious lineage, originating with <a href="https://www.theguardian.com/technology/2012/feb/26/first-computers-john-von-neumann" data-link-name="in body link">John von Neumann</a>, the father of the modern computer. In certain quarters, the theorem is being taken seriously, roundly debated and thoroughly discussed – with, for example, a paper just last year in the journal Foundations of Physics, where Conway and Kochen originally published their result in 2006, that picks up the idea and rolls it along.</p><p class="dcr-1eu361v">Over the course of the lectures, graduate students in maths marvelled at how Conway and Kochen had managed to infuriate two departments at once – trespassing on physicists’ territory in such a way as to make philosophers’ hair stand on end. Jacob Tsimerman, another prodigious 19-year-old, was particularly interested. He’d been spending lots of time with Conway, playing Phutball – short for Philosopher’s Football, yet another game of Conway’s invention, using a grid board with white and black stones – and at once debating the merits and demerits of the theorem. Tsimerman thought it was deep and fun and puzzling. But he was more impressed with Phutball. “[Phutball] is arguably the greatest triumph of this man,” he told me. “And I don’t mean that condescendingly. It’s a great game.”</p><p class="dcr-1eu361v">A few years ago, I watched Tsimerman face off against Conway in the Princeton maths department common room, where Conway spends all of his time because his office is such an uninhabitable tip. After some tsk-tsking from Conway followed by a “Pfwooooah!” from Tsimerman, the youngster enthusiastically conceded another defeat. “Your game, professor!” He accepted a rematch, even though another game was bound to make him late for his seminar.</p><p class="dcr-1eu361v">Tsimerman soon suffered a setback. A few tackles later, Conway faced trouble. He cautioned: “Reports of my death have been greatly exaggerated!” This time, though, he was beaten at his own game, and the victorious Tsimerman sprinted off to class. “But he’s now 15 minutes late,” noted Conway. “That’s my real aim in getting them to play these games, to ensure they don’t do well in maths, to destroy all these formerly promising mathematicians.”</p><p class="dcr-1eu361v">Tsimerman subsequently went on to Harvard, and he’s currently an assistant professor at the Univeristy of Toronto. Conway subsequently went on to, as ever, play more games, and engage in all manner of nerdish delights – spending hours upon hours, for example, curing the <a href="https://www.theguardian.com/culture/2015/may/26/erno-rubik-how-we-made-rubiks-cube" data-link-name="in body link">Rubik’s cube</a>, and reciting pi, and playing Dots and Boxes, or Sprouts, with his 13-year-old son Gareth, via his third wife Diana.</p><p class="dcr-1eu361v">Usually, though, Conway can be found squatting in the Princeton common room. Although still young at heart and head, he looks more and more like his old friend Archimedes, increasingly bearded and increasingly grey, with an otherworldly mien – a look that should earn him a spot in the online quiz featuring portraits of frumpy old men under the rubric “Prof or Hobo?” His uniform is faded chinos, stained with splotches that he camouflages by doodling spirals or crisscrosses with his pen; and on top he always wears a T-shirt from his infinite collection emblazoned with mathsy messages, such as: “Are you crying? There’s no crying! THERE’S NO CRYING IN MATH CLASS!”</p><p class="dcr-1eu361v">For Conway it is mathematics that allows him to clear away the clouds of reality. As he put it, “Math was always there for me.” It is the realm where he finds solace and infinite unadulterated pleasure. He’s retired, but he keeps on playing, and as he himself noticed, he’s now being more productive than ever. With his Cambridge friend and collaborator Alex Ryba, now a professor of computer science at the City University of New York’s Queens College, he’s writing papers on magic squares, on Pascal’s theorem about a mysterious hexagram — the <em>Hexagrammum Mysticum</em> — and on “The Extra Fibonacci Series and the Empire State Building”. They are also finishing The Triangle Book (which Conway’s had in the works for decades), and starting The Monster Book. Perhaps Conway’s bestselling book ever was Winning Ways for Your Mathematical Plays (first published in 1982), a collection of wisdom about games which, in early August, is being feted at the Museum of Mathematics in New York City, celebrating Conway and his co-authors, UC Berkeley’s Elwyn Berlekamp and Calgary’s Richard Guy.</p><p class="dcr-1eu361v">As an epigram in the book advises, borrowing from Oscar Wilde: “Life is far too important to be taken seriously.”</p><p class="dcr-1eu361v"><em>Siobhan Roberts is the author of Genius at Play, The Curious Mind of John Horton Conway (Bloomsbury), out this month in the US, and September in the UK</em></p><p class="dcr-1eu361v"><em><span data-dcr-style="bullet"></span> Follow the Long Read on Twitter:<a href="https://twitter.com/@gdnlongread" data-link-name="in body link"> @gdnlongread</a></em></p><footer class="dcr-1eu361v"><p class="dcr-1eu361v"><span data-dcr-style="bullet"></span> This article was amended on 28 July 2015 to clarify that Pascal’s theorem about a mysterious hexagram is called the <em>Hexagrammum Mysticum Theorem</em></p></footer></div></div><gu-island name="SlotBodyEnd" priority="feature" deferUntil="visible" props="{"contentType":"Article","contributionsServiceUrl":"https://contributions.guardianapis.com","idApiUrl":"https://idapi.theguardian.com","isMinuteArticle":false,"isPaidContent":false,"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","sectionId":"science","shouldHideReaderRevenue":false,"stage":"PROD","tags":[{"id":"science/mathematics","type":"Keyword","title":"Mathematics"},{"id":"news/series/the-long-read","type":"Series","title":"The long read"},{"id":"science/science","type":"Keyword","title":"Science"},{"id":"education/princeton-university","type":"Keyword","title":"Princeton University"},{"id":"education/mathematics","type":"Keyword","title":"Mathematics"},{"id":"us-news/us-news","type":"Keyword","title":"US news"},{"id":"education/education","type":"Keyword","title":"Education"},{"id":"tone/features","type":"Tone","title":"Features"},{"id":"type/article","type":"Type","title":"Article"},{"id":"profile/siobhan-roberts","type":"Contributor","title":"Siobhan Roberts"},{"id":"publication/theguardian","type":"Publication","title":"The Guardian"},{"id":"theguardian/mainsection","type":"NewspaperBook","title":"Main section"},{"id":"theguardian/mainsection/the-long-read","type":"NewspaperBookSection","title":"The long read"}],"renderAds":true,"isLabs":false,"articleEndSlot":true}"></gu-island><svg xmlns="http://www.w3.org/2000/svg" width="100%" height="13" viewBox="0 0 1300 13" preserveAspectRatio="none" stroke="var(--straight-lines)" stroke-width="1" aria-hidden="true" focusable="false" class="dcr-65xb9q"><line x1="0" x2="1300" y1="0.5" y2="0.5"></line><line x1="0" x2="1300" y1="4.5" y2="4.5"></line><line x1="0" x2="1300" y1="8.5" y2="8.5"></line><line x1="0" x2="1300" y1="12.5" y2="12.5"></line></svg><div data-print-layout="hide" class="dcr-fckw05"><span class="dcr-1slmqmw">Explore more on these topics</span><div class="dcr-1jl528t"><ul class="dcr-1yfsxuc"><li class="dcr-ncdwh2"><a href="/science/mathematics" class="dcr-1gwziyt">Mathematics</a></li><li class="dcr-ncdwh2"><a href="/news/series/the-long-read" class="dcr-1gwziyt">The long read</a></li><li class="dcr-ncdwh2"><a href="/education/princeton-university" class="dcr-1gwziyt">Princeton University</a></li><li class="dcr-ncdwh2"><a href="/tone/features" class="dcr-1gwziyt">features</a></li></ul></div><div class="dcr-nu129i"><gu-island name="ShareButton" priority="feature" deferUntil="visible" props="{"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","webTitle":"John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts","format":{"design":10,"display":2,"theme":0},"context":"SubMeta"}"><a href="mailto:?subject=John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts&body=https://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world?CMP=share_btn_url" type="button" class="dcr-bao4ku">Share<div class="src-button-space"></div><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M19 16c1.675 0 3 1.35 3 3 0 1.675-1.325 3-3 3a2.97 2.97 0 0 1-2.975-3c0-.125 0-.275.025-.375L7.1 14.15a2.9 2.9 0 0 1-2.075.825C3.325 14.975 2 13.65 2 12a3.004 3.004 0 0 1 3.025-3.025c.775 0 1.5.35 2.075.875l8.95-4.475c-.025-.1-.025-.225-.025-.4A2.966 2.966 0 0 1 19 2c1.675 0 3 1.325 3 2.975C22 6.65 20.675 8 19 8c-.8 0-1.475-.325-2.05-.825l-8.975 4.45C8 11.7 8 11.825 8 12s0 .3-.025.375l8.975 4.45c.575-.5 1.25-.825 2.05-.825m0-12.8c-.975 0-1.8.775-1.8 1.775S18.025 6.8 19 6.8c1 0 1.825-.825 1.825-1.825S20 3.2 19 3.2m0 17.6c1 0 1.825-.825 1.825-1.8 0-1-.825-1.8-1.825-1.8-.975 0-1.8.8-1.8 1.8 0 .975.825 1.8 1.8 1.8"></path></svg></a></gu-island><div class="dcr-zhx6xs"><a data-link-name="meta-syndication-article" href="https://syndication.theguardian.com/?url=https%3A%2F%2Fwww.theguardian.com%2Fscience%2F2015%2Fjul%2F23%2Fjohn-horton-conway-the-most-charismatic-mathematician-in-the-world&type=article&internalpagecode=science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world" target="_blank" rel="noreferrer" title="Reuse this content" class="dcr-14rjinq">Reuse this content</a></div></div></div></div></div><div style="--grid-area:right-column;" data-gu-name="right-column" class="dcr-10el5c8"><div class="dcr-jwg3xc"><section class="dcr-1hko8ef"><gu-island name="MostViewedRightWithAd" priority="feature" deferUntil="visible" props="{"format":{"design":10,"display":2,"theme":0},"isPaidContent":false,"renderAds":true,"shouldHideReaderRevenue":false}" rootMargin="700px 100px"><div data-container="most-viewed-right-container" class="dcr-1e3xwa3"><div class="ad-slot-container dcr-7caenu"><div id="dfp-ad--right" data-link-name="ad slot right" data-name="right" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--right ad-slot--mpu-banner-ad ad-slot--rendered js-sticky-mpu dcr-1jakjiw"></div></div></div></gu-island></section></div></div></div></div></article><aside style="background-color:var(--ad-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1ykr3rf"><div class="ad-slot-container dcr-17n294h"><div id="dfp-ad--merchandising-high" data-link-name="ad slot merchandising-high" data-name="merchandising-high" data-refresh="false" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--merchandising-high dcr-ivr0sq"></div></div></div></aside><gu-island name="OnwardsUpper" priority="feature" deferUntil="visible" props="{"ajaxUrl":"https://api.nextgen.guardianapps.co.uk","hasRelated":true,"hasStoryPackage":false,"isAdFreeUser":false,"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","isPaidContent":false,"showRelatedContent":true,"keywordIds":"science/mathematics,science/science,education/princeton-university,education/mathematics,us-news/us-news,education/education","contentType":"Article","tags":[{"id":"science/mathematics","type":"Keyword","title":"Mathematics"},{"id":"news/series/the-long-read","type":"Series","title":"The long read"},{"id":"science/science","type":"Keyword","title":"Science"},{"id":"education/princeton-university","type":"Keyword","title":"Princeton University"},{"id":"education/mathematics","type":"Keyword","title":"Mathematics"},{"id":"us-news/us-news","type":"Keyword","title":"US news"},{"id":"education/education","type":"Keyword","title":"Education"},{"id":"tone/features","type":"Tone","title":"Features"},{"id":"type/article","type":"Type","title":"Article"},{"id":"profile/siobhan-roberts","type":"Contributor","title":"Siobhan Roberts"},{"id":"publication/theguardian","type":"Publication","title":"The Guardian"},{"id":"theguardian/mainsection","type":"NewspaperBook","title":"Main section"},{"id":"theguardian/mainsection/the-long-read","type":"NewspaperBookSection","title":"The long read"}],"format":{"design":10,"display":2,"theme":0},"pillar":0,"editionId":"INT","shortUrlId":"/p/4aq42","discussionApiUrl":"https://discussion.theguardian.com/discussion-api","absoluteServerTimes":false}"><div class="dcr-1ntgn2k"><section style="background-color:var(--section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1vf50t"><div data-name="placeholder" class="dcr-ri3hap"><div class="dcr-p0nyl2"></div></div></div></section><section style="background-color:var(--section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1vf50t"><div data-name="placeholder" class="dcr-ri3hap"><div class="dcr-p0nyl2"></div></div></div></section></div></gu-island><section style="background-color:var(--discussion-section-background);" class="dcr-1xdhyk6"><div id="comments" style="border-color:var(--article-border);" class="dcr-1vf50t"><section style="background-color:var(--section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1ykr3rf"><div class="dcr-u8qikl"><section class="dcr-u6x71m"><div class="dcr-yg4zrc"><div class="dcr-k1vhee"><div><gu-island name="DiscussionMeta" priority="feature" deferUntil="visible" props="{"discussionApiUrl":"https://discussion.theguardian.com/discussion-api","shortUrlId":"/p/4aq42","enableDiscussionSwitch":true}"><div class="dcr-8ro32r"><h2 class="dcr-aep3nc">Comments <span class="dcr-xodiwl">(…)</span></h2><span class="dcr-1hfm9sp"><a href="https://profile.theguardian.com/signin?INTCMP=DOTCOM_COMMENTS_SIGNIN&componentEventParams=componentType%3Didentityauthentication%26componentId%3Dsignin_to_comment" class="dcr-q3hb80">Sign in</a> or <a href="https://profile.theguardian.com/signin?INTCMP=DOTCOM_COMMENTS_SIGNIN&componentEventParams=componentType%3Didentityauthentication%26componentId%3Dregister_to_comment" class="dcr-q3hb80">create your Guardian account</a> to join the discussion</span></div></gu-island></div></div></div></section><div class="dcr-1t1ldv1"><div class="dcr-f68shw"><span class="dcr-1giivcq"></span></div><div style="gap:20px;" class="dcr-u8qikl"><div class="dcr-1vig65l"><gu-island name="DiscussionWeb" priority="feature" deferUntil="visible" props="{"discussionApiUrl":"https://discussion.theguardian.com/discussion-api","shortUrlId":"/p/4aq42","discussionD2Uid":"zHoBy6HNKsk","discussionApiClientHeader":"nextgen","enableDiscussionSwitch":true,"idApiUrl":"https://idapi.theguardian.com"}"><div data-name="placeholder" class="dcr-ri3hap"><div class="dcr-ktu60b"></div></div></gu-island></div><section class="dcr-1hko8ef"><div class="commentsRightColumn dcr-45o43m"><div class="ad-slot-container"><div id="dfp-ad--comments" data-link-name="ad slot comments" data-name="comments" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--comments ad-slot--mpu-banner-ad ad-slot--rendered js-sticky-mpu"></div></div></div></section></div></div></div></div></section></div></section><section style="background-color:var(--article-section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1vf50t"><div class="dcr-u8qikl"><section class="dcr-1gx3men"><div class="dcr-yg4zrc"><div class="dcr-k1vhee"><div><div class="dcr-1atljbz"><h2 style="color:var(--article-section-title);" class="dcr-dah9rt">Most viewed</h2></div></div></div></div></section><div class="dcr-fossqd"><div class="dcr-f68shw"><span class="dcr-1giivcq"><div class="dcr-1atljbz"><h2 style="color:var(--article-section-title);" class="dcr-dah9rt">Most viewed</h2></div></span></div><div data-print-layout="hide" class="content-footer dcr-ddf1wi"><div class="dcr-6m88po"><gu-island name="MostViewedFooterData" priority="feature" deferUntil="visible" props="{"sectionId":"science","ajaxUrl":"https://api.nextgen.guardianapps.co.uk","edition":"INT"}"><div data-name="placeholder" class="dcr-ri3hap"><div class="dcr-5mqa0r"></div></div></gu-island></div><div class="dcr-1pt7toy"><span class="dcr-n4pnam"><div class="ad-slot-container dcr-j5zpwt"><div id="dfp-ad--mostpop" data-link-name="ad slot mostpop" data-name="mostpop" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--mostpop ad-slot--mpu-banner-ad ad-slot--rendered dcr-1qjcfie"></div></div></span></div></div></div></div></div></section><aside style="background-color:var(--ad-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1ykr3rf"><div class="ad-slot-container dcr-17n294h"><div id="dfp-ad--merchandising" data-link-name="ad slot merchandising" data-name="merchandising" aria-hidden="true" class="js-ad-slot ad-slot ad-slot--merchandising dcr-ivr0sq"></div></div></div></aside></main><aside style="background-color:var(--section-background);" class="dcr-1xdhyk6"><div style="border-color:var(--article-border);" class="dcr-1q1v1nj"><gu-island name="SubNav" priority="enhancement" deferUntil="visible" props="{"subNavSections":{"parent":{"title":"Education","longTitle":"Education","url":"/education","children":[{"title":"Schools","longTitle":"Schools","url":"/education/schools","children":[],"mobileOnly":false},{"title":"Teachers","longTitle":"Teachers","url":"/teacher-network","children":[],"mobileOnly":false},{"title":"Universities","longTitle":"Universities","url":"/education/universities","children":[],"mobileOnly":false},{"title":"Students","longTitle":"Students","url":"/education/students","children":[],"mobileOnly":false}],"mobileOnly":false},"links":[{"title":"Schools","longTitle":"Schools","url":"/education/schools","children":[],"mobileOnly":false},{"title":"Teachers","longTitle":"Teachers","url":"/teacher-network","children":[],"mobileOnly":false},{"title":"Universities","longTitle":"Universities","url":"/education/universities","children":[],"mobileOnly":false},{"title":"Students","longTitle":"Students","url":"/education/students","children":[],"mobileOnly":false}]},"currentNavLink":"Education","position":"footer"}"><div data-print-layout="hide" data-testid="sub-nav" data-component="sub-nav" style="--sub-nav-link:var(--sub-nav-link-footer);" class="dcr-a4rp9m"><ul role="list" class="dcr-1gt8egs"><li class="dcr-ybq1b6"><a data-src-focus-disabled="true" href="/education" class="dcr-lgyw9b">Education</a></li><li><a data-src-focus-disabled="true" href="/education/schools" data-link-name="nav2 : subnav : Schools" class="dcr-lgyw9b">Schools</a></li><li><a data-src-focus-disabled="true" href="/teacher-network" data-link-name="nav2 : subnav : Teachers" class="dcr-lgyw9b">Teachers</a></li><li><a data-src-focus-disabled="true" href="/education/universities" data-link-name="nav2 : subnav : Universities" class="dcr-lgyw9b">Universities</a></li><li><a data-src-focus-disabled="true" href="/education/students" data-link-name="nav2 : subnav : Students" class="dcr-lgyw9b">Students</a></li></ul></div></gu-island></div></aside><footer style="background-color:#052962;" class="dcr-1xdhyk6"><div style="border-color:#506991;" class="dcr-bnuca0"><div data-print-layout="hide" data-link-name="footer" data-component="footer" class="dcr-1hmrwdw"><div class="dcr-1ris6nf"><ul class="dcr-1d6g26q"><li class="dcr-1grikph"><a href="/" style="--pillar-underline:#FF5943;" data-link-name="footer : primary : News" class="dcr-1iufw7r">News</a></li><li class="dcr-ks441s"><a href="/commentisfree" style="--pillar-underline:#FF7F0F;" data-link-name="footer : primary : Opinion" class="dcr-7612kl">Opinion</a></li><li class="dcr-ks441s"><a href="/sport" style="--pillar-underline:#00B2FF;" data-link-name="footer : primary : Sport" class="dcr-7612kl">Sport</a></li><li class="dcr-ks441s"><a href="/culture" style="--pillar-underline:#EACCA0;" data-link-name="footer : primary : Culture" class="dcr-7612kl">Culture</a></li><li class="dcr-1kcody2"><a href="/lifeandstyle" style="--pillar-underline:#FFABDB;" data-link-name="footer : primary : Lifestyle" class="dcr-7612kl">Lifestyle</a></li></ul></div><div class="dcr-1xyi04h"><div class="dcr-1wf840d"><div>Original reporting and incisive analysis, direct from the Guardian every morning</div><a href="https://www.theguardian.com/global/2022/sep/20/sign-up-for-the-first-edition-newsletter-our-free-news-email" data-link-name="footer : morning-briefing" class="dcr-u54heg">Sign up for our email<div class="src-button-space"></div><svg viewBox="-3 -3 30 30" xmlns="http://www.w3.org/2000/svg" aria-hidden="true"><path fill-rule="evenodd" clip-rule="evenodd" d="M1 12.956h18.274l-7.167 8.575.932.932L23 12.478v-.956l-9.96-9.985-.932.932 7.166 8.575H1z"></path></svg></a></div><div class="dcr-1ms2xl4"><ul><li><a href="https://manage.theguardian.com/help-centre" data-link-name="international : footer : tech feedback" class="js-tech-feedback-report dcr-4coeh">Help</a></li><li><a href="/info/complaints-and-corrections" data-link-name="complaints" class=" dcr-4coeh">Complaints & corrections</a></li><li><a href="https://www.theguardian.com/securedrop" data-link-name="securedrop" class=" dcr-4coeh">SecureDrop</a></li><li><a href="https://workforus.theguardian.com" data-link-name="international : footer : work for us" class=" dcr-4coeh">Work for us</a></li><li><gu-island name="PrivacySettingsLink" priority="critical" deferUntil="visible" props="{"extraClasses":""}"><span style="color:transparent;" class="dcr-4coeh"> </span></gu-island></li><li><a href="/info/privacy" data-link-name="privacy" class=" dcr-4coeh">Privacy policy</a></li><li><a href="/info/cookies" data-link-name="cookie" class=" dcr-4coeh">Cookie policy</a></li><li><a href="/help/terms-of-service" data-link-name="terms" class=" dcr-4coeh">Terms & conditions</a></li><li><a href="/help/contact-us" data-link-name="international : footer : contact us" class=" dcr-4coeh">Contact us</a></li></ul><ul><li><a href="/index/subjects/a" data-link-name="international : footer : all topics" class=" dcr-4coeh">All topics</a></li><li><a href="/index/contributors" data-link-name="international : footer : all contributors" class=" dcr-4coeh">All writers</a></li><li><a href="https://theguardian.newspapers.com" data-link-name="digital newspaper archive" class=" dcr-4coeh">Digital newspaper archive</a></li><li><a href="https://uploads.guim.co.uk/2024/08/27/TAX_STRATEGY_FOR_THE_YEAR_ENDED_31_MARCH_2025.pdf" data-link-name="international : footer : tax strategy" class=" dcr-4coeh">Tax strategy</a></li><li><a href="https://www.facebook.com/theguardian" data-link-name="international : footer : facebook" class=" dcr-4coeh">Facebook</a></li><li><a href="https://www.youtube.com/user/TheGuardian" data-link-name="international : footer : youtube" class=" dcr-4coeh">YouTube</a></li><li><a href="https://www.instagram.com/guardian" data-link-name="international : footer : instagram" class=" dcr-4coeh">Instagram</a></li><li><a href="https://www.linkedin.com/company/theguardian" data-link-name="international : footer : linkedin" class=" dcr-4coeh">LinkedIn</a></li><li><a href="/email-newsletters?INTCMP=DOTCOM_FOOTER_NEWSLETTER_INTERNATIONAL" data-link-name="international : footer : newsletters" class=" dcr-4coeh">Newsletters</a></li></ul><ul><li><a href="https://advertising.theguardian.com" data-link-name="international : footer : advertise with us" class=" dcr-4coeh">Advertise with us</a></li><li><a href="https://jobs.theguardian.com" data-link-name="international : footer : uk-jobs" class=" dcr-4coeh">Search UK jobs</a></li></ul><div class="dcr-1v06yj3"><gu-island name="FooterReaderRevenueLinks" priority="feature" deferUntil="visible" props="{"urls":{"contribute":"https://support.theguardian.com/contribute?INTCMP=footer_support_contribute&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support_contribute%22%7D","subscribe":"https://support.theguardian.com/subscribe?INTCMP=footer_support_subscribe&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support_subscribe%22%7D","support":"https://support.theguardian.com?INTCMP=footer_support&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_support%22%7D","supporter":"https://support.theguardian.com/subscribe?INTCMP=footer_supporter_cta&acquisitionData=%7B%22source%22:%22GUARDIAN_WEB%22,%22componentType%22:%22ACQUISITIONS_FOOTER%22,%22componentId%22:%22footer_supporter_cta%22%7D"},"dataLinkNamePrefix":"footer : "}"></gu-island></div></div><div class="dcr-1xnlu54"><a href="#top" data-link-name="back to top" class="dcr-1bljy3y"><span class="dcr-6ottnt">Back to top</span><span class="icon-container dcr-18yycfp"><i class="dcr-13lm9u3"></i></span></a></div></div><div class="dcr-1slcfay">© 2024 Guardian News & Media Limited or its affiliated companies. All rights reserved. <gu-island name="FooterLabel" priority="critical" deferUntil="visible" props="{}">(dcr)</gu-island></div></div></div></footer><aside class="dcr-1wna1tt"><gu-island name="StickyBottomBanner" priority="feature" deferUntil="idle" props="{"contentType":"Article","contributionsServiceUrl":"https://contributions.guardianapis.com","idApiUrl":"https://idapi.theguardian.com","isMinuteArticle":false,"isPaidContent":false,"isPreview":false,"isSensitive":false,"pageId":"science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world","sectionId":"science","shouldHideReaderRevenue":false,"remoteBannerSwitch":true,"tags":[{"id":"science/mathematics","type":"Keyword","title":"Mathematics"},{"id":"news/series/the-long-read","type":"Series","title":"The long read"},{"id":"science/science","type":"Keyword","title":"Science"},{"id":"education/princeton-university","type":"Keyword","title":"Princeton University"},{"id":"education/mathematics","type":"Keyword","title":"Mathematics"},{"id":"us-news/us-news","type":"Keyword","title":"US news"},{"id":"education/education","type":"Keyword","title":"Education"},{"id":"tone/features","type":"Tone","title":"Features"},{"id":"type/article","type":"Type","title":"Article"},{"id":"profile/siobhan-roberts","type":"Contributor","title":"Siobhan Roberts"},{"id":"publication/theguardian","type":"Publication","title":"The Guardian"},{"id":"theguardian/mainsection","type":"NewspaperBook","title":"Main section"},{"id":"theguardian/mainsection/the-long-read","type":"NewspaperBookSection","title":"The long read"}]}"></gu-island></aside><div class="mobilesticky-container dcr-bqcudp"></div> </body> </html>