CINXE.COM

Web Mercator projection - Wikipedia

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-sticky-header-enabled vector-toc-available" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>Web Mercator projection - Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-sticky-header-enabled vector-toc-available";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy", "wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"07063f64-0ac7-465c-a74b-caf2aef3541c","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Web_Mercator_projection","wgTitle":"Web Mercator projection","wgCurRevisionId":1243353020,"wgRevisionId":1243353020,"wgArticleId":43488483,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Articles with short description","Short description is different from Wikidata","All articles with unsourced statements","Articles with unsourced statements from June 2023","Geographic coordinate systems","Web mapping","Google Maps","Conformal projections"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Web_Mercator_projection","wgRelevantArticleId":43488483,"wgIsProbablyEditable":true, "wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":20000,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q18155718","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false, "wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.switcher","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init", "ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&amp;modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&amp;only=styles&amp;skin=vector-2022"> <script async="" src="/w/load.php?lang=en&amp;modules=startup&amp;only=scripts&amp;raw=1&amp;skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&amp;modules=site.styles&amp;only=styles&amp;skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.16"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/1200px-Web_maps_Mercator_projection_SW.jpg"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1195"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/800px-Web_maps_Mercator_projection_SW.jpg"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="797"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/640px-Web_maps_Mercator_projection_SW.jpg"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="638"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Web Mercator projection - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//en.m.wikipedia.org/wiki/Web_Mercator_projection"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=Web_Mercator_projection&amp;action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/Web_Mercator_projection"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom feed" href="/w/index.php?title=Special:RecentChanges&amp;feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Web_Mercator_projection rootpage-Web_Mercator_projection skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" title="Main menu" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Main menu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Main menu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Main menu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">hide</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z"><span>Main page</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Contents" title="Guides to browsing Wikipedia"><span>Contents</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Current_events" title="Articles related to current events"><span>Current events</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Visit a randomly selected article [x]" accesskey="x"><span>Random article</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:About" title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us" title="How to contact Wikipedia"><span>Contact us</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> Contribute </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:Contents" title="Guidance on how to use and edit Wikipedia"><span>Help</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Help:Introduction" title="Learn how to edit Wikipedia"><span>Learn to edit</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Community_portal" title="The hub for editors"><span>Community portal</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="A list of recent changes to Wikipedia [r]" accesskey="r"><span>Recent changes</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_upload_wizard" title="Add images or other media for use on Wikipedia"><span>Upload file</span></a></li><li id="n-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages"><span>Special pages</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Main_Page" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="The Free Encyclopedia" src="/static/images/mobile/copyright/wikipedia-tagline-en.svg" width="117" height="13" style="width: 7.3125em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:Search" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Search Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Search</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page&#039;s font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&amp;wmf_medium=sidebar&amp;wmf_campaign=en.wikipedia.org&amp;uselang=en" class=""><span>Donate</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&amp;returnto=Web+Mercator+projection" title="You are encouraged to create an account and log in; however, it is not mandatory" class=""><span>Create account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&amp;returnto=Web+Mercator+projection" title="You&#039;re encouraged to log in; however, it&#039;s not mandatory. [o]" accesskey="o" class=""><span>Log in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Log in and more options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personal tools" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personal tools</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&amp;wmf_medium=sidebar&amp;wmf_campaign=en.wikipedia.org&amp;uselang=en"><span>Donate</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&amp;returnto=Web+Mercator+projection" title="You are encouraged to create an account and log in; however, it is not mandatory"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Create account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&amp;returnto=Web+Mercator+projection" title="You&#039;re encouraged to log in; however, it&#039;s not mandatory. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/Help:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y"><span>Contributions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n"><span>Talk</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Contents" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Contents</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Properties" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Properties"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Properties</span> </div> </a> <button aria-controls="toc-Properties-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Properties subsection</span> </button> <ul id="toc-Properties-sublist" class="vector-toc-list"> <li id="toc-Formulas" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Formulas"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Formulas</span> </div> </a> <ul id="toc-Formulas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Spherical_and_ellipsoidal_mix" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Spherical_and_ellipsoidal_mix"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Spherical and ellipsoidal mix</span> </div> </a> <ul id="toc-Spherical_and_ellipsoidal_mix-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Advantages_and_disadvantages" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Advantages_and_disadvantages"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Advantages and disadvantages</span> </div> </a> <ul id="toc-Advantages_and_disadvantages-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Identifiers" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Identifiers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Identifiers</span> </div> </a> <button aria-controls="toc-Identifiers-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Identifiers subsection</span> </button> <ul id="toc-Identifiers-sublist" class="vector-toc-list"> <li id="toc-EPSG:900913" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#EPSG:900913"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>EPSG:900913</span> </div> </a> <ul id="toc-EPSG:900913-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-EPSG:3785" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#EPSG:3785"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>EPSG:3785</span> </div> </a> <ul id="toc-EPSG:3785-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-EPSG:3857" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#EPSG:3857"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>EPSG:3857</span> </div> </a> <ul id="toc-EPSG:3857-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Other_identifiers" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Other_identifiers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Other identifiers</span> </div> </a> <ul id="toc-Other_identifiers-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-WKT_definition" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#WKT_definition"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>WKT definition</span> </div> </a> <ul id="toc-WKT_definition-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Web Mercator projection</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 4 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-4" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">4 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Proyecci%C3%B3n_Web_Mercator" title="Proyección Web Mercator – Spanish" lang="es" hreflang="es" data-title="Proyección Web Mercator" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Web_mercator" title="Web mercator – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Web mercator" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Web_Mercator" title="Web Mercator – Finnish" lang="fi" hreflang="fi" data-title="Web Mercator" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Web%E5%A2%A8%E5%8D%A1%E6%89%98%E6%8A%95%E5%BD%B1" title="Web墨卡托投影 – Chinese" lang="zh" hreflang="zh" data-title="Web墨卡托投影" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q18155718#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Web_Mercator_projection" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:Web_Mercator_projection" rel="discussion" title="Discuss improvements to the content page [t]" accesskey="t"><span>Talk</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Views"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Web_Mercator_projection"><span>Read</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;action=history" title="Past revisions of this page [h]" accesskey="h"><span>View history</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tools" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tools</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tools</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">hide</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Web_Mercator_projection"><span>Read</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;action=history"><span>View history</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Web_Mercator_projection" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Web_Mercator_projection" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-upload" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;oldid=1243353020" title="Permanent link to this revision of this page"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:CiteThisPage&amp;page=Web_Mercator_projection&amp;id=1243353020&amp;wpFormIdentifier=titleform" title="Information on how to cite this page"><span>Cite this page</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FWeb_Mercator_projection"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FWeb_Mercator_projection"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Print/export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&amp;page=Web_Mercator_projection&amp;action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Web_Mercator_projection&amp;printable=yes" title="Printable version of this page [p]" accesskey="p"><span>Printable version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In other projects </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q18155718" title="Structured data on this page hosted by Wikidata [g]" accesskey="g"><span>Wikidata item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Mercator variant map projection</div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Web_maps_Mercator_projection_SW.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/300px-Web_maps_Mercator_projection_SW.jpg" decoding="async" width="300" height="299" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/450px-Web_maps_Mercator_projection_SW.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Web_maps_Mercator_projection_SW.jpg/600px-Web_maps_Mercator_projection_SW.jpg 2x" data-file-width="2068" data-file-height="2060" /></a><figcaption>The Web Mercator projection is almost indistinguishable at global scale from a Mercator projection cropped to around 85°N to 85°S</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/File:OpenStreetMap_homepage_2018_en.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/OpenStreetMap_homepage_2018_en.png/400px-OpenStreetMap_homepage_2018_en.png" decoding="async" width="400" height="221" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/OpenStreetMap_homepage_2018_en.png/600px-OpenStreetMap_homepage_2018_en.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/69/OpenStreetMap_homepage_2018_en.png/800px-OpenStreetMap_homepage_2018_en.png 2x" data-file-width="1872" data-file-height="1034" /></a><figcaption>Homepage of OpenStreetMap in 2018. The standard style for OpenStreetMap, like most Web maps, uses the Web Mercator projection</figcaption></figure> <p><b>Web Mercator</b>, <b>Google Web Mercator</b>, <b>Spherical Mercator</b>, <b>WGS 84 Web Mercator</b><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> or <b>WGS 84/Pseudo-Mercator</b> is a variant of the <a href="/wiki/Mercator_projection" title="Mercator projection">Mercator</a> <a href="/wiki/Map_projection" title="Map projection">map projection</a> and is the <a href="/wiki/De_facto_standard" title="De facto standard">de facto standard</a> for <a href="/wiki/World_Wide_Web" title="World Wide Web">Web</a> mapping applications. It rose to prominence when <a href="/wiki/Google_Maps" title="Google Maps">Google Maps</a> adopted it in 2005.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> It is used by virtually all major online map providers, including Google Maps, <a href="/wiki/CartoDB" class="mw-redirect" title="CartoDB">CARTO</a>, <a href="/wiki/Mapbox" title="Mapbox">Mapbox</a>,<sup id="cite_ref-MapBox_3-0" class="reference"><a href="#cite_note-MapBox-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Bing_Maps" title="Bing Maps">Bing Maps</a>, <a href="/wiki/OpenStreetMap" title="OpenStreetMap">OpenStreetMap</a>, <a href="/wiki/Mapquest" class="mw-redirect" title="Mapquest">Mapquest</a>, <a href="/wiki/Esri" title="Esri">Esri</a>, and many others.<sup id="cite_ref-Battersby_4-0" class="reference"><a href="#cite_note-Battersby-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> Its official <a href="/wiki/EPSG_identifier" class="mw-redirect" title="EPSG identifier">EPSG identifier</a> is EPSG:3857, although others have been used historically. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Properties">Properties</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=1" title="Edit section: Properties"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Web Mercator is a slight variant of the Mercator projection, one used primarily in Web-based mapping programs. It uses the same formulas as the standard Mercator as used for <a href="/wiki/Scale_(map)#Large_scale,_medium_scale,_small_scale" title="Scale (map)">small-scale maps</a>. However, the Web Mercator uses the spherical formulas at all scales whereas <a href="/wiki/Scale_(map)#Large_scale,_medium_scale,_small_scale" title="Scale (map)">large-scale</a> Mercator maps normally use the ellipsoidal form of the projection.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (June 2023)">citation needed</span></a></i>&#93;</sup> The discrepancy is imperceptible at the global scale but causes maps of local areas to deviate slightly from true ellipsoidal Mercator maps at the same scale. </p><p>While the Web Mercator's formulas are for the spherical form of the Mercator, geographical coordinates are required to be in the <a href="/wiki/World_Geodetic_System#WGS_84" title="World Geodetic System">WGS 84</a> ellipsoidal datum. This discrepancy causes the projection to be slightly non-<a href="/wiki/Conformal_map_projection" title="Conformal map projection">conformal</a>. General lack of understanding that the Web Mercator differs from standard Mercator usage has caused considerable confusion and misuse.<sup id="cite_ref-Battersby_4-1" class="reference"><a href="#cite_note-Battersby-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup><sup class="reference nowrap"><span title="Page / location: 87">&#58;&#8202;87&#8202;</span></sup> Mistaking Web Mercator for the standard Mercator during coordinate conversion can lead to deviations as much as 40&#160;km on the ground.<sup id="cite_ref-NGAnotice_5-0" class="reference"><a href="#cite_note-NGAnotice-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-al_6-0" class="reference"><a href="#cite_note-al-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> For all these reasons, the <a href="/wiki/United_States_Department_of_Defense" title="United States Department of Defense">United States Department of Defense</a> through the <a href="/wiki/National_Geospatial-Intelligence_Agency" title="National Geospatial-Intelligence Agency">National Geospatial-Intelligence Agency</a> has declared this map projection to be unacceptable for any official use.<sup id="cite_ref-NGAnotice_5-1" class="reference"><a href="#cite_note-NGAnotice-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p><p>Unlike most map projections for the sphere, the Web Mercator uses the equatorial radius of the WGS 84 spheroid, rather than some <a href="/wiki/Earth_radius#Global_radii" title="Earth radius">compromise between the equatorial and polar radii</a>. This results in a slightly larger map compared to the map's <a href="/wiki/Scale_(map)" title="Scale (map)">stated (nominal) scale</a> than for most maps. </p> <div class="mw-heading mw-heading3"><h3 id="Formulas">Formulas</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=2" title="Edit section: Formulas"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Formulas for the Web Mercator are fundamentally the same as for the standard spherical Mercator, but before applying zoom, the "world coordinates" are adjusted such that the upper left corner is <span class="nowrap">(0, 0)</span> and the lower right corner is <span class="nowrap">( <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{\text{zoom level}}-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext>zoom level</mtext> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{\text{zoom level}}-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/783e3b5df5b708d324d68f2e04b0064982a607a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.964ex; height:2.843ex;" alt="{\displaystyle 2^{\text{zoom level}}-1}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{\text{zoom level}}-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext>zoom level</mtext> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{\text{zoom level}}-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/783e3b5df5b708d324d68f2e04b0064982a607a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.964ex; height:2.843ex;" alt="{\displaystyle 2^{\text{zoom level}}-1}"></span>)</span>:<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}x&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi +\lambda \right)\right\rfloor {\text{ pixels}}\\[5pt]y&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi -\ln \left[\tan \left({\frac {\pi }{4}}+{\frac {\varphi }{2}}\right)\right]\right)\right\rfloor {\text{ pixels}}\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="0.8em 0.3em" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow> <mo>&#x230A;</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>&#x03C0;<!-- π --></mi> </mrow> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext>zoom level</mtext> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mi>&#x03C0;<!-- π --></mi> <mo>+</mo> <mi>&#x03BB;<!-- λ --></mi> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&#x230B;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>&#xA0;pixels</mtext> </mrow> </mtd> </mtr> <mtr> <mtd> <mi>y</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow> <mo>&#x230A;</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>&#x03C0;<!-- π --></mi> </mrow> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext>zoom level</mtext> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mi>&#x03C0;<!-- π --></mi> <mo>&#x2212;<!-- − --></mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow> <mo>[</mo> <mrow> <mi>tan</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C6;<!-- φ --></mi> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>]</mo> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&#x230B;</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>&#xA0;pixels</mtext> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}x&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi +\lambda \right)\right\rfloor {\text{ pixels}}\\[5pt]y&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi -\ln \left[\tan \left({\frac {\pi }{4}}+{\frac {\varphi }{2}}\right)\right]\right)\right\rfloor {\text{ pixels}}\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8252047258d341cbf8d773efe5e24f089cdb3b67" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.171ex; width:53.56ex; height:13.509ex;" alt="{\displaystyle {\begin{aligned}x&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi +\lambda \right)\right\rfloor {\text{ pixels}}\\[5pt]y&amp;=\left\lfloor {\frac {1}{2\pi }}\cdot 2^{\text{zoom level}}\left(\pi -\ln \left[\tan \left({\frac {\pi }{4}}+{\frac {\varphi }{2}}\right)\right]\right)\right\rfloor {\text{ pixels}}\end{aligned}}}"></span> where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BB;<!-- λ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span> is the <a href="/wiki/Longitude" title="Longitude">longitude</a> in radians and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varphi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C6;<!-- φ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varphi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.52ex; height:2.176ex;" alt="{\displaystyle \varphi }"></span> is <a href="/wiki/Geodetic_latitude" class="mw-redirect" title="Geodetic latitude">geodetic latitude</a> in radians.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> </p><p>Because the Mercator projects the poles at infinity, a map using the Web Mercator projection cannot show the poles. Services such as Google Maps cut off coverage at 85.051129° north and south. This is not a limitation for street maps, which is the primary purpose for such services. The value 85.051129° is the latitude at which the full projected map becomes a square, and is computed as <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varphi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C6;<!-- φ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varphi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.52ex; height:2.176ex;" alt="{\displaystyle \varphi }"></span> given <span class="nowrap"><i>y</i> = 0</span>: <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}\varphi _{\text{max}}=\left[2\arctan(e^{\pi })-{\frac {\pi }{2}}\right]\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <msub> <mi>&#x03C6;<!-- φ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>max</mtext> </mrow> </msub> <mo>=</mo> <mrow> <mo>[</mo> <mrow> <mn>2</mn> <mi>arctan</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>&#x03C0;<!-- π --></mi> </mrow> </msup> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}\varphi _{\text{max}}=\left[2\arctan(e^{\pi })-{\frac {\pi }{2}}\right]\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4b1a0904e2e946949995880e64e8baf9ac0afe7" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:27.947ex; height:4.843ex;" alt="{\displaystyle {\begin{aligned}\varphi _{\text{max}}=\left[2\arctan(e^{\pi })-{\frac {\pi }{2}}\right]\end{aligned}}}"></span> </p> <div class="mw-heading mw-heading3"><h3 id="Spherical_and_ellipsoidal_mix">Spherical and ellipsoidal mix</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=3" title="Edit section: Spherical and ellipsoidal mix"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The projection is neither strictly ellipsoidal nor strictly spherical. EPSG's definition says the projection "uses spherical development of ellipsoidal coordinates".<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> The underlying geographic coordinates are defined using the <a href="/wiki/WGS84" class="mw-redirect" title="WGS84">WGS84</a> ellipsoidal model of the Earth's surface, but are projected as if defined on a sphere.<sup id="cite_ref-al_6-1" class="reference"><a href="#cite_note-al-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> This practice is uncontroversial for small-scale maps (such as of the entire world), but has little precedent in large-scale maps (such as of a city or province).<sup id="cite_ref-Strebe2018_10-0" class="reference"><a href="#cite_note-Strebe2018-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Advantages_and_disadvantages">Advantages and disadvantages</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=4" title="Edit section: Advantages and disadvantages"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Web Mercator is a spherical Mercator projection, and so it has the same properties as a spherical Mercator: north is up everywhere, meridians are equally spaced vertical lines, angles are locally correct (assuming spherical coordinates), and areas inflate with distance from the equator such that the polar regions are grossly exaggerated. The ellipsoidal Mercator has these same properties, but models the earth as an ellipsoid. </p><p>Unlike the ellipsoidal Mercator, however, the Web Mercator is not quite conformal. This means that angles between lines on the surface will not be drawn to the same angles in the map, although they will not deviate enough to be noticeable by eye. Lines deviate because Web Mercator specifies that coordinates be given as surveyed on the WGS 84 ellipsoidal model. By projecting coordinates surveyed against the ellipsoid as if they were surveyed on a sphere, angular relationships change slightly. This is standard practice on the standard spherical Mercator projection, but unlike Web Mercator, the spherical Mercator is not normally used for maps of local areas, such as street maps, and so the accuracy of positions needed for plotting is typically less than the angular deviation caused by using spherical formulas. The benefit the Web Mercator gains is that the spherical form is much simpler to calculate than the ellipsoidal form, and so requires only a fraction of the computing resources.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Identifiers">Identifiers</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=5" title="Edit section: Identifiers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Due to slow adoption by the <a href="/wiki/EPSG_registry" class="mw-redirect" title="EPSG registry">EPSG registry</a>, the Web Mercator is represented by several different names and <a href="/wiki/SRID" class="mw-redirect" title="SRID">spatial reference system identifiers</a> (SRIDs), including EPSG:900913, EPSG:3785 and EPSG:3857, the latter being the official EPSG identifier since 2009.<sup id="cite_ref-epsg.org_12-0" class="reference"><a href="#cite_note-epsg.org-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="EPSG:900913">EPSG:900913</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=6" title="Edit section: EPSG:900913"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The projected coordinate reference system originally lacked an official spatial reference identifier (<a href="/wiki/Spatial_reference_system#Identifier" title="Spatial reference system">SRID</a>), and the Geodesy subcommittee of the OGP's Geomatics committee (also known as EPSG) refused to provide it with one, declaring "We have reviewed the coordinate reference system used by Microsoft, Google, etc. and believe that it is technically flawed. We will not devalue the EPSG dataset by including such inappropriate geodesy and cartography."<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> The unofficial code "EPSG:900913" (GOOGLE <a href="/wiki/Leet" title="Leet">transliterated to numbers</a>) came to be used. It was originally defined by Christopher Schmidt in his Technical Ramblings blog<sup id="cite_ref-Schmidt_14-0" class="reference"><a href="#cite_note-Schmidt-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> and became codified in OpenLayers 2,<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup> which, technically, would make OpenLayers the SRID authority. </p> <div class="mw-heading mw-heading3"><h3 id="EPSG:3785">EPSG:3785</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=7" title="Edit section: EPSG:3785"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 2008, EPSG provided the official identifier EPSG:3785 with the official name "Popular Visualisation <a href="/wiki/Spatial_reference_system" title="Spatial reference system">CRS</a> / Mercator", but noted "It is not an official <a href="/wiki/Geodesy" title="Geodesy">geodetic</a> system".<sup id="cite_ref-al_6-2" class="reference"><a href="#cite_note-al-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> This definition used a spherical (rather than ellipsoidal) model of the Earth. </p> <div class="mw-heading mw-heading3"><h3 id="EPSG:3857">EPSG:3857</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=8" title="Edit section: EPSG:3857"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Later that year, EPSG provided an updated identifier, EPSG:3857 with the official name "WGS 84 / Pseudo-Mercator".<sup id="cite_ref-al_6-3" class="reference"><a href="#cite_note-al-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> The definition switched to using the <a href="/wiki/WGS84" class="mw-redirect" title="WGS84">WGS84</a> ellipsoid (EPSG:4326), rather than the sphere. </p><p>Although the projection is closely associated with Google, Microsoft is listed as the "information source" in EPSG's standards.<sup id="cite_ref-epsg.org_12-1" class="reference"><a href="#cite_note-epsg.org-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Other_identifiers">Other identifiers</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=9" title="Edit section: Other identifiers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Other identifiers that have been used include ESRI:102113, ESRI:102100, and OSGEO:41001.<sup id="cite_ref-epsg.io_16-0" class="reference"><a href="#cite_note-epsg.io-16"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Schmidt_14-1" class="reference"><a href="#cite_note-Schmidt-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> </p><p>ESRI:102113 corresponds to EPSG:3785 while ESRI:102100 corresponds to EPSG:3857.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="WKT_definition">WKT definition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=10" title="Edit section: WKT definition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The projection covers the Earth from −180° to 180° longitude, and 85.05° north and south. Using <a href="/wiki/Well-known_text_representation_of_coordinate_reference_systems" title="Well-known text representation of coordinate reference systems">well-known text representation of coordinate reference systems</a> (WKT), EPSG:3857 is defined as follows:<sup id="cite_ref-epsg.org_12-2" class="reference"><a href="#cite_note-epsg.org-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p> <pre>PROJCRS["WGS 84 / Pseudo-Mercator", BASEGEOGCRS["WGS 84", ENSEMBLE["World Geodetic System 1984 ensemble", MEMBER["World Geodetic System 1984 (Transit)", ID["EPSG",1166]], MEMBER["World Geodetic System 1984 (G730)", ID["EPSG",1152]], MEMBER["World Geodetic System 1984 (G873)", ID["EPSG",1153]], MEMBER["World Geodetic System 1984 (G1150)", ID["EPSG",1154]], MEMBER["World Geodetic System 1984 (G1674)", ID["EPSG",1155]], MEMBER["World Geodetic System 1984 (G1762)", ID["EPSG",1156]], MEMBER["World Geodetic System 1984 (G2139)", ID["EPSG",1309]], ELLIPSOID["WGS 84", 6378137, 298.257223563, LENGTHUNIT["metre", 1, ID["EPSG",9001]], ID["EPSG",7030]], ENSEMBLEACCURACY[2], ID["EPSG",6326]], ID["EPSG",4326]], CONVERSION["Popular Visualisation Pseudo-Mercator", METHOD["Popular Visualisation Pseudo Mercator", ID["EPSG",1024]], PARAMETER["Latitude of natural origin", 0, ANGLEUNIT["degree", 0.0174532925199433, ID["EPSG",9102]], ID["EPSG",8801]], PARAMETER["Longitude of natural origin", 0, ANGLEUNIT["degree", 0.0174532925199433, ID["EPSG",9102]], ID["EPSG",8802]], PARAMETER["False easting", 0, LENGTHUNIT["metre", 1, ID["EPSG",9001]], ID["EPSG",8806]], PARAMETER["False northing", 0, LENGTHUNIT["metre", 1, ID["EPSG",9001]], ID["EPSG",8807]], ID["EPSG",3856]], CS[Cartesian, 2, ID["EPSG",4499]], AXIS["Easting (X)", east], AXIS["Northing (Y)", north], LENGTHUNIT["metre", 1, ID["EPSG",9001]], ID["EPSG",3857]] </pre> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Web_Mercator_projection&amp;action=edit&amp;section=11" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20141009142830/http://earth-info.nga.mil/GandG/wgs84/web_mercator/(U)%20NGA_SIG_0011_1.0.0_WEBMERC.pdf">"WGS 84 and the Web Mercator Projection NGA Office of Geomatics"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/National_Geospatial-Intelligence_Agency" title="National Geospatial-Intelligence Agency">National Geospatial-Intelligence Agency</a>. 2014-05-16. Archived from <a rel="nofollow" class="external text" href="http://earth-info.nga.mil/GandG/wgs84/web_mercator/%28U%29%20NGA_SIG_0011_1.0.0_WEBMERC.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2014-10-09<span class="reference-accessdate">. Retrieved <span class="nowrap">2014-08-06</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=WGS+84+and+the+Web+Mercator+Projection+NGA+Office+of+Geomatics&amp;rft.pub=National+Geospatial-Intelligence+Agency&amp;rft.date=2014-05-16&amp;rft_id=http%3A%2F%2Fearth-info.nga.mil%2FGandG%2Fwgs84%2Fweb_mercator%2F%2528U%2529%2520NGA_SIG_0011_1.0.0_WEBMERC.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20200101203940/https://support.google.com/maps/forum/AAAAQuUrST8A2ygEJ5eG-o/?hl=en&amp;msgid=KbZr_B0h2hkJ&amp;gpf=d/msg/maps/A2ygEJ5eG-o/KbZr_B0h2hkJ">"Google Maps &amp; Earth Help Forum"</a>. Archived from <a rel="nofollow" class="external text" href="https://productforums.google.com/d/msg/maps/A2ygEJ5eG-o/KbZr_B0h2hkJ">the original</a> on January 1, 2020<span class="reference-accessdate">. Retrieved <span class="nowrap">29 August</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Google+Maps+%26+Earth+Help+Forum&amp;rft_id=https%3A%2F%2Fproductforums.google.com%2Fd%2Fmsg%2Fmaps%2FA2ygEJ5eG-o%2FKbZr_B0h2hkJ&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-MapBox-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-MapBox_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.mapbox.com/help/how-mapbox-data-works/">"Our Map Data"</a>. MapBox<span class="reference-accessdate">. Retrieved <span class="nowrap">June 20,</span> 2018</span>. <q>Mapbox supports the popular Web Mercator projection, and currently does not support any other projections for display.</q></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Our+Map+Data&amp;rft.pub=MapBox&amp;rft_id=https%3A%2F%2Fwww.mapbox.com%2Fhelp%2Fhow-mapbox-data-works%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-Battersby-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-Battersby_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Battersby_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBattersbyFinnUseryYamamoto2014" class="citation journal cs1">Battersby, Sarah E.; Finn, Michael P.; Usery, E. Lynn; Yamamoto, Kristina H. (2014). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150215113220/http://cegis.usgs.gov/projection/pdf/Battersby_Implications%20of%20Web%20Mecator%20and%20Its%20Use%20in%20Online%20Mapping.pdf">"Implications of Web Mercator and Its Use in Online Mapping"</a> <span class="cs1-format">(PDF)</span>. <i>Cartographica</i>. <b>49</b> (2): 92. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.3138%2Fcarto.49.2.2313">10.3138/carto.49.2.2313</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:6403891">6403891</a>. Archived from <a rel="nofollow" class="external text" href="https://utpjournals.press/doi/10.3138/carto.49.2.2313">the original</a> on 15 February 2015.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Cartographica&amp;rft.atitle=Implications+of+Web+Mercator+and+Its+Use+in+Online+Mapping&amp;rft.volume=49&amp;rft.issue=2&amp;rft.pages=92&amp;rft.date=2014&amp;rft_id=info%3Adoi%2F10.3138%2Fcarto.49.2.2313&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A6403891%23id-name%3DS2CID&amp;rft.aulast=Battersby&amp;rft.aufirst=Sarah+E.&amp;rft.au=Finn%2C+Michael+P.&amp;rft.au=Usery%2C+E.+Lynn&amp;rft.au=Yamamoto%2C+Kristina+H.&amp;rft_id=https%3A%2F%2Futpjournals.press%2Fdoi%2F10.3138%2Fcarto.49.2.2313&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-NGAnotice-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-NGAnotice_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-NGAnotice_5-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20170329065451/https://earth-info.nga.mil/GandG/wgs84/web_mercator/index.html">"NGA: (U) NGA Advisory Notice on "Web Mercator" (UNCLASSIFIED)"</a>. <a href="/wiki/National_Geospatial-Intelligence_Agency" title="National Geospatial-Intelligence Agency">National Geospatial-Intelligence Agency</a> Office of Geomatics. 2014-02-18. Archived from <a rel="nofollow" class="external text" href="http://earth-info.nga.mil/GandG/wgs84/web_mercator/index.html">the original</a> on 2017-03-29<span class="reference-accessdate">. Retrieved <span class="nowrap">4 October</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=NGA%3A+%28U%29+NGA+Advisory+Notice+on+%22Web+Mercator%22+%28UNCLASSIFIED%29&amp;rft.pub=National+Geospatial-Intelligence+Agency+Office+of+Geomatics&amp;rft.date=2014-02-18&amp;rft_id=http%3A%2F%2Fearth-info.nga.mil%2FGandG%2Fwgs84%2Fweb_mercator%2Findex.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-al-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-al_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-al_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-al_6-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-al_6-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://alastaira.wordpress.com/2011/01/23/the-google-maps-bing-maps-spherical-mercator-projection/">"The Google Maps / Bing Maps Spherical Mercator Projection"</a>. <i>Alastair Aitchison</i>. 23 January 2011<span class="reference-accessdate">. Retrieved <span class="nowrap">4 October</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Alastair+Aitchison&amp;rft.atitle=The+Google+Maps+%2F+Bing+Maps+Spherical+Mercator+Projection&amp;rft.date=2011-01-23&amp;rft_id=http%3A%2F%2Falastaira.wordpress.com%2F2011%2F01%2F23%2Fthe-google-maps-bing-maps-spherical-mercator-projection%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://wiki.openstreetmap.org/wiki/Slippy_map_tilenames">"OpenStreetMap Slippy map tilenames"</a>. openstreetmap.org<span class="reference-accessdate">. Retrieved <span class="nowrap">2018-11-14</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=OpenStreetMap+Slippy+map+tilenames&amp;rft.pub=openstreetmap.org&amp;rft_id=https%3A%2F%2Fwiki.openstreetmap.org%2Fwiki%2FSlippy_map_tilenames&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">See <a href="/wiki/Gudermannian_function#Inverse" title="Gudermannian function">Inverse Gudermannian_function</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {gd} ^{-1}x=\ln \left|\tan \left({\frac {x}{2}}+{\frac {\pi }{4}}\right)\right|}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>gd</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>&#x2061;<!-- ⁡ --></mo> <mi>x</mi> <mo>=</mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow> <mo>|</mo> <mrow> <mi>tan</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mn>2</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>4</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>|</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {gd} ^{-1}x=\ln \left|\tan \left({\frac {x}{2}}+{\frac {\pi }{4}}\right)\right|}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d0aba0515979f357ffad148878a44a45f6e3972" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:26.146ex; height:4.843ex;" alt="{\displaystyle \operatorname {gd} ^{-1}x=\ln \left|\tan \left({\frac {x}{2}}+{\frac {\pi }{4}}\right)\right|}"></span>.</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20120622004633/http://www.epsg-registry.org/report.htm?type=selection&amp;entity=urn:ogc:def:crs:EPSG::3857&amp;reportDetail=short&amp;style=urn:uuid:report-style:default-with-code&amp;style_name=OGP%20Default%20With%20Code&amp;title=EPSG:3857">"Custom report"</a>. <i>www.epsg-registry.org</i>. Archived from <a rel="nofollow" class="external text" href="http://www.epsg-registry.org/report.htm?type=selection&amp;entity=urn:ogc:def:crs:EPSG::3857&amp;reportDetail=short&amp;style=urn:uuid:report-style:default-with-code&amp;style_name=OGP%20Default%20With%20Code&amp;title=EPSG:3857">the original</a> on 2012-06-22.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=www.epsg-registry.org&amp;rft.atitle=Custom+report&amp;rft_id=http%3A%2F%2Fwww.epsg-registry.org%2Freport.htm%3Ftype%3Dselection%26entity%3Durn%3Aogc%3Adef%3Acrs%3AEPSG%3A%3A3857%26reportDetail%3Dshort%26style%3Durn%3Auuid%3Areport-style%3Adefault-with-code%26style_name%3DOGP%2520Default%2520With%2520Code%26title%3DEPSG%3A3857&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-Strebe2018-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-Strebe2018_10-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFStrebe2019" class="citation journal cs1">Strebe, Daniel "daan" (2019). "A bevy of area-preserving transforms for map projection designers". <i>Cartography and Geographic Information Science</i>. <b>46</b> (3): <span class="nowrap">260–</span>276. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2019CGISc..46..260S">2019CGISc..46..260S</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1080%2F15230406.2018.1452632">10.1080/15230406.2018.1452632</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:134864785">134864785</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Cartography+and+Geographic+Information+Science&amp;rft.atitle=A+bevy+of+area-preserving+transforms+for+map+projection+designers&amp;rft.volume=46&amp;rft.issue=3&amp;rft.pages=%3Cspan+class%3D%22nowrap%22%3E260-%3C%2Fspan%3E276&amp;rft.date=2019&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A134864785%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1080%2F15230406.2018.1452632&amp;rft_id=info%3Abibcode%2F2019CGISc..46..260S&amp;rft.aulast=Strebe&amp;rft.aufirst=Daniel+%22daan%22&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://gis.utah.gov/nad83-and-webmercator-projections/">"The Earth is Not Round! Utah, NAD83 and WebMercator Projections"</a>. <i>Utah GIS Portal</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2020-06-20</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Utah+GIS+Portal&amp;rft.atitle=The+Earth+is+Not+Round%21+Utah%2C+NAD83+and+WebMercator+Projections&amp;rft_id=https%3A%2F%2Fgis.utah.gov%2Fnad83-and-webmercator-projections%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-epsg.org-12"><span class="mw-cite-backlink">^ <a href="#cite_ref-epsg.org_12-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-epsg.org_12-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-epsg.org_12-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEPSG_registry" class="citation web cs1">EPSG registry. <a rel="nofollow" class="external text" href="https://epsg.org/crs_3857/WGS-84-Pseudo-Mercator.html">"WGS 84 / Pseudo-Mercator"</a>. <i>epsg.org</i>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=epsg.org&amp;rft.atitle=WGS+84+%2F+Pseudo-Mercator&amp;rft.au=EPSG+registry&amp;rft_id=https%3A%2F%2Fepsg.org%2Fcrs_3857%2FWGS-84-Pseudo-Mercator.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.sharpgis.net/post/SphericalWeb-Mercator-EPSG-code-3785">"dotMorten &#124; Spherical/Web Mercator: EPSG code 3785"</a>. <i>www.sharpgis.net</i>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=www.sharpgis.net&amp;rft.atitle=dotMorten+%26%23124%3B+Spherical%2FWeb+Mercator%3A+EPSG+code+3785&amp;rft_id=http%3A%2F%2Fwww.sharpgis.net%2Fpost%2FSphericalWeb-Mercator-EPSG-code-3785&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-Schmidt-14"><span class="mw-cite-backlink">^ <a href="#cite_ref-Schmidt_14-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Schmidt_14-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://crschmidt.net/blog/archives/243/google-projection-900913/">"Google Projection: 900913"</a>. August 7, 2007.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Google+Projection%3A+900913&amp;rft.date=2007-08-07&amp;rft_id=https%3A%2F%2Fcrschmidt.net%2Fblog%2Farchives%2F243%2Fgoogle-projection-900913%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20210418033655/http://docs.openlayers.org/library/spherical_mercator.html">"Spherical Mercator — OpenLayers"</a>. <i>docs.openlayers.org</i>. Archived from <a rel="nofollow" class="external text" href="http://docs.openlayers.org/library/spherical_mercator.html">the original</a> on 2021-04-18<span class="reference-accessdate">. Retrieved <span class="nowrap">2018-11-12</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=docs.openlayers.org&amp;rft.atitle=Spherical+Mercator+%E2%80%94+OpenLayers&amp;rft_id=http%3A%2F%2Fdocs.openlayers.org%2Flibrary%2Fspherical_mercator.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-epsg.io-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-epsg.io_16-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKlokan_Technologies_GmbH" class="citation web cs1">Klokan Technologies GmbH. <a rel="nofollow" class="external text" href="http://epsg.io/">"WGS 84 / Pseudo-Mercator - Spherical Mercator, Google Maps, OpenStreetMap, Bing, ArcGIS, ESRI - EPSG:3857"</a>. <i>epsg.io</i>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=epsg.io&amp;rft.atitle=WGS+84+%2F+Pseudo-Mercator+-+Spherical+Mercator%2C+Google+Maps%2C+OpenStreetMap%2C+Bing%2C+ArcGIS%2C+ESRI+-+EPSG%3A3857&amp;rft.au=Klokan+Technologies+GmbH&amp;rft_id=http%3A%2F%2Fepsg.io%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://community.esri.com/t5/arcgis-rest-api-questions/102100-vs-102113-is-mixed-up/m-p/426380#M2050">"102100 vs. 102113 is mixed up?"</a>. <i>GeoNet, The Esri Community</i>. October 3, 2012.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=GeoNet%2C+The+Esri+Community&amp;rft.atitle=102100+vs.+102113+is+mixed+up%3F&amp;rft.date=2012-10-03&amp;rft_id=https%3A%2F%2Fcommunity.esri.com%2Ft5%2Farcgis-rest-api-questions%2F102100-vs-102113-is-mixed-up%2Fm-p%2F426380%23M2050&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AWeb+Mercator+projection" class="Z3988"></span></span> </li> </ol></div> <!-- NewPP limit report Parsed by mw‐web.codfw.canary‐df5f8887f‐88kc6 Cached time: 20250204110205 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.257 seconds Real time usage: 0.410 seconds Preprocessor visited node count: 1397/1000000 Post‐expand include size: 30781/2097152 bytes Template argument size: 1121/2097152 bytes Highest expansion depth: 16/100 Expensive parser function count: 2/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 59622/5000000 bytes Lua time usage: 0.151/10.000 seconds Lua memory usage: 5950607/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 304.712 1 -total 42.56% 129.672 14 Template:Cite_web 23.82% 72.596 1 Template:Short_description 17.90% 54.529 1 Template:Citation_needed 14.61% 44.508 2 Template:Pagetype 11.55% 35.201 1 Template:Fix 8.59% 26.184 2 Template:Category_handler 6.83% 20.806 1 Template:Rp 5.82% 17.747 1 Template:R/superscript 5.21% 15.871 3 Template:Main_other --> <!-- Saved in parser cache with key enwiki:pcache:43488483:|#|:idhash:canonical and timestamp 20250204110205 and revision id 1243353020. Rendering was triggered because: page-view --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&amp;type=1x1&amp;usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Web_Mercator_projection&amp;oldid=1243353020">https://en.wikipedia.org/w/index.php?title=Web_Mercator_projection&amp;oldid=1243353020</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Geographic_coordinate_systems" title="Category:Geographic coordinate systems">Geographic coordinate systems</a></li><li><a href="/wiki/Category:Web_mapping" title="Category:Web mapping">Web mapping</a></li><li><a href="/wiki/Category:Google_Maps" title="Category:Google Maps">Google Maps</a></li><li><a href="/wiki/Category:Conformal_projections" title="Category:Conformal projections">Conformal projections</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:All_articles_with_unsourced_statements" title="Category:All articles with unsourced statements">All articles with unsourced statements</a></li><li><a href="/wiki/Category:Articles_with_unsourced_statements_from_June_2023" title="Category:Articles with unsourced statements from June 2023">Articles with unsourced statements from June 2023</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 1 September 2024, at 00:20<span class="anonymous-show">&#160;(UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. By using this site, you agree to the <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use" class="extiw" title="foundation:Special:MyLanguage/Policy:Terms of Use">Terms of Use</a> and <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy" class="extiw" title="foundation:Special:MyLanguage/Policy:Privacy policy">Privacy Policy</a>. Wikipedia® is a registered trademark of the <a rel="nofollow" class="external text" href="https://wikimediafoundation.org/">Wikimedia Foundation, Inc.</a>, a non-profit organization.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-mobileview"><a href="//en.m.wikipedia.org/w/index.php?title=Web_Mercator_projection&amp;mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" lang="en" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><picture><source media="(min-width: 500px)" srcset="/w/resources/assets/poweredby_mediawiki.svg" width="88" height="31"><img src="/w/resources/assets/mediawiki_compact.svg" alt="Powered by MediaWiki" width="25" height="25" loading="lazy"></picture></a></li> </ul> </footer> </div> </div> </div> <div class="vector-header-container vector-sticky-header-container"> <div id="vector-sticky-header" class="vector-sticky-header"> <div class="vector-sticky-header-start"> <div class="vector-sticky-header-icon-start vector-button-flush-left vector-button-flush-right" aria-hidden="true"> <button class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-sticky-header-search-toggle" tabindex="-1" data-event-name="ui.vector-sticky-search-form.icon"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </button> </div> <div role="search" class="vector-search-box-vue vector-search-box-show-thumbnail vector-search-box"> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail"> <form action="/w/index.php" id="vector-sticky-search-form" class="cdx-search-input cdx-search-input--has-end-button"> <div class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Search Wikipedia"> <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Search</button> </form> </div> </div> </div> <div class="vector-sticky-header-context-bar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-sticky-header-toc" class="vector-dropdown mw-portlet mw-portlet-sticky-header-toc vector-sticky-header-toc vector-button-flush-left" > <input type="checkbox" id="vector-sticky-header-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-sticky-header-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-sticky-header-toc-label" for="vector-sticky-header-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-sticky-header-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div class="vector-sticky-header-context-bar-primary" aria-hidden="true" ><span class="mw-page-title-main">Web Mercator projection</span></div> </div> </div> <div class="vector-sticky-header-end" aria-hidden="true"> <div class="vector-sticky-header-icons"> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-talk-sticky-header" tabindex="-1" data-event-name="talk-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbles mw-ui-icon-wikimedia-speechBubbles"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-subject-sticky-header" tabindex="-1" data-event-name="subject-sticky-header"><span class="vector-icon mw-ui-icon-article mw-ui-icon-wikimedia-article"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-history-sticky-header" tabindex="-1" data-event-name="history-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-history mw-ui-icon-wikimedia-wikimedia-history"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only mw-watchlink" id="ca-watchstar-sticky-header" tabindex="-1" data-event-name="watch-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-star mw-ui-icon-wikimedia-wikimedia-star"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-edit-sticky-header" tabindex="-1" data-event-name="wikitext-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-wikiText mw-ui-icon-wikimedia-wikimedia-wikiText"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-ve-edit-sticky-header" tabindex="-1" data-event-name="ve-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-edit mw-ui-icon-wikimedia-wikimedia-edit"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-viewsource-sticky-header" tabindex="-1" data-event-name="ve-edit-protected-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-editLock mw-ui-icon-wikimedia-wikimedia-editLock"></span> <span></span> </a> </div> <div class="vector-sticky-header-buttons"> <button class="cdx-button cdx-button--weight-quiet mw-interlanguage-selector" id="p-lang-btn-sticky-header" tabindex="-1" data-event-name="ui.dropdown-p-lang-btn-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-language mw-ui-icon-wikimedia-wikimedia-language"></span> <span>4 languages</span> </button> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive" id="ca-addsection-sticky-header" tabindex="-1" data-event-name="addsection-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbleAdd-progressive mw-ui-icon-wikimedia-speechBubbleAdd-progressive"></span> <span>Add topic</span> </a> </div> <div class="vector-sticky-header-icon-end"> <div class="vector-user-links"> </div> </div> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-b766959bd-2hgt4","wgBackendResponseTime":135,"wgPageParseReport":{"limitreport":{"cputime":"0.257","walltime":"0.410","ppvisitednodes":{"value":1397,"limit":1000000},"postexpandincludesize":{"value":30781,"limit":2097152},"templateargumentsize":{"value":1121,"limit":2097152},"expansiondepth":{"value":16,"limit":100},"expensivefunctioncount":{"value":2,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":59622,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 304.712 1 -total"," 42.56% 129.672 14 Template:Cite_web"," 23.82% 72.596 1 Template:Short_description"," 17.90% 54.529 1 Template:Citation_needed"," 14.61% 44.508 2 Template:Pagetype"," 11.55% 35.201 1 Template:Fix"," 8.59% 26.184 2 Template:Category_handler"," 6.83% 20.806 1 Template:Rp"," 5.82% 17.747 1 Template:R/superscript"," 5.21% 15.871 3 Template:Main_other"]},"scribunto":{"limitreport-timeusage":{"value":"0.151","limit":"10.000"},"limitreport-memusage":{"value":5950607,"limit":52428800}},"cachereport":{"origin":"mw-web.codfw.canary-df5f8887f-88kc6","timestamp":"20250204110205","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Web Mercator projection","url":"https:\/\/en.wikipedia.org\/wiki\/Web_Mercator_projection","sameAs":"http:\/\/www.wikidata.org\/entity\/Q18155718","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q18155718","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2014-08-06T12:29:55Z","dateModified":"2024-09-01T00:20:45Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/e\/ec\/Web_maps_Mercator_projection_SW.jpg"}</script> </body> </html>

Pages: 1 2 3 4 5 6 7 8 9 10