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user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv" class=""><span>Stöd Wikipedia</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:Skapa_konto&returnto=Polygontal" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt" class=""><span>Skapa konto</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:Inloggning&returnto=Polygontal" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o" class=""><span>Logga 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="Fler alternativ" > <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="Personliga verktyg" > <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">Personliga verktyg</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Användarmeny" > <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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv"><span>Stöd Wikipedia</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Skapa_konto&returnto=Polygontal" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skapa konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Inloggning&returnto=Polygontal" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga 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"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</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:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</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"></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="Webbplats"> <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="Innehåll" 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">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</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">Inledning</div> </a> </li> <li id="toc-Definition_och_exempel" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Definition_och_exempel"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Definition och exempel</span> </div> </a> <button aria-controls="toc-Definition_och_exempel-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>Växla underavsnittet Definition och exempel</span> </button> <ul id="toc-Definition_och_exempel-sublist" class="vector-toc-list"> <li id="toc-Triangeltal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Triangeltal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Triangeltal</span> </div> </a> <ul id="toc-Triangeltal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvadrattal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kvadrattal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Kvadrattal</span> </div> </a> <ul id="toc-Kvadrattal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pentagontal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Pentagontal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Pentagontal</span> </div> </a> <ul id="toc-Pentagontal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hexagontal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Hexagontal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Hexagontal</span> </div> </a> <ul id="toc-Hexagontal-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Formler" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Formler"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Formler</span> </div> </a> <ul id="toc-Formler-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tabell_över_värden" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tabell_över_värden"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Tabell över värden</span> </div> </a> <ul id="toc-Tabell_över_värden-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kombinationer" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kombinationer"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Kombinationer</span> </div> </a> <ul id="toc-Kombinationer-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Källor" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Källor</span> </div> </a> <button aria-controls="toc-Källor-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>Växla underavsnittet Källor</span> </button> <ul id="toc-Källor-sublist" class="vector-toc-list"> <li id="toc-Fotnoter" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fotnoter"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Fotnoter</span> </div> </a> <ul id="toc-Fotnoter-sublist" class="vector-toc-list"> </ul> </li> </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="Innehåll" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <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="Växla innehållsförteckningen" > <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">Växla innehållsförteckningen</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">Polygontal</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="Gå till en artikel på ett annat språk. Tillgänglig på 27 språk" > <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-27" 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">27 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D8%B6%D9%84%D8%B9%D9%8A" title="عدد مضلعي – arabiska" lang="ar" hreflang="ar" data-title="عدد مضلعي" data-language-autonym="العربية" data-language-local-name="arabiska" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_poligonal" title="Nombre poligonal – katalanska" lang="ca" hreflang="ca" data-title="Nombre poligonal" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Polygonalzahl" title="Polygonalzahl – tyska" lang="de" hreflang="de" data-title="Polygonalzahl" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/N%C3%B9mer_poligon%C3%A8l" title="Nùmer poligonèl – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Nùmer poligonèl" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Polygonal_number" title="Polygonal number – engelska" lang="en" hreflang="en" data-title="Polygonal number" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_poligonal" title="Número poligonal – spanska" lang="es" hreflang="es" data-title="Número poligonal" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Plurlatera_nombro" title="Plurlatera nombro – esperanto" lang="eo" hreflang="eo" data-title="Plurlatera nombro" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki_poligonal" title="Zenbaki poligonal – baskiska" lang="eu" hreflang="eu" data-title="Zenbaki poligonal" data-language-autonym="Euskara" data-language-local-name="baskiska" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_polygonal" title="Nombre polygonal – franska" lang="fr" hreflang="fr" data-title="Nombre polygonal" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8B%A4%EA%B0%81%EC%88%98" title="다각수 – koreanska" lang="ko" hreflang="ko" data-title="다각수" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Poligona_nombro" title="Poligona nombro – ido" lang="io" hreflang="io" data-title="Poligona nombro" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_poligonal" title="Bilangan poligonal – indonesiska" lang="id" hreflang="id" data-title="Bilangan poligonal" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_poligonale" title="Numero poligonale – italienska" lang="it" hreflang="it" data-title="Numero poligonale" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%9E%D7%A6%D7%95%D7%9C%D7%A2" title="מספר מצולע – hebreiska" lang="he" hreflang="he" data-title="מספר מצולע" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Soksz%C3%B6gsz%C3%A1mok" title="Sokszögszámok – ungerska" lang="hu" hreflang="hu" data-title="Sokszögszámok" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Veelhoeksgetal" title="Veelhoeksgetal – nederländska" lang="nl" hreflang="nl" data-title="Veelhoeksgetal" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%A4%9A%E8%A7%92%E6%95%B0" title="多角数 – japanska" lang="ja" hreflang="ja" data-title="多角数" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Polygontall" title="Polygontall – norskt bokmål" lang="nb" hreflang="nb" data-title="Polygontall" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_poligonal" title="Número poligonal – portugisiska" lang="pt" hreflang="pt" data-title="Número poligonal" data-language-autonym="Português" data-language-local-name="portugisiska" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_poligonal" title="Număr poligonal – rumänska" lang="ro" hreflang="ro" data-title="Număr poligonal" data-language-autonym="Română" data-language-local-name="rumänska" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q70894304 mw-list-item" title=""><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B3%D0%BE%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%B0" title="Многоугольные числа – ryska" lang="ru" hreflang="ru" data-title="Многоугольные числа" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Mnogokotni%C5%A1ko_%C5%A1tevilo" title="Mnogokotniško število – slovenska" lang="sl" hreflang="sl" data-title="Mnogokotniško število" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%BE%D0%BB%D0%B8%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D1%98" title="Полигонални број – serbiska" lang="sr" hreflang="sr" data-title="Полигонални број" data-language-autonym="Српски / srpski" data-language-local-name="serbiska" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Monikulmioluku" title="Monikulmioluku – finska" lang="fi" hreflang="fi" data-title="Monikulmioluku" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%B2%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%A3_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="பல்கோண எண் – tamil" lang="ta" hreflang="ta" data-title="பல்கோண எண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%91%D0%B0%D0%B3%D0%B0%D1%82%D0%BE%D0%BA%D1%83%D1%82%D0%BD%D1%96_%D1%87%D0%B8%D1%81%D0%BB%D0%B0" title="Багатокутні числа – ukrainska" lang="uk" hreflang="uk" data-title="Багатокутні числа" data-language-autonym="Українська" data-language-local-name="ukrainska" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%A4%9A%E9%82%8A%E5%BD%A2%E6%95%B8" title="多邊形數 – kinesiska" lang="zh" hreflang="zh" data-title="多邊形數" data-language-autonym="中文" data-language-local-name="kinesiska" 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/Q836270#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</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="Namnrymder"> <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/Polygontal" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskussion:Polygontal&action=edit&redlink=1" rel="discussion" class="new" title="Diskussion om innehållssidan [inte skriven än] [t]" accesskey="t"><span>Diskussion</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="Ändra språkvariant" > <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">svenska</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="Visningar"> <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/Polygontal"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Polygontal&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Polygontal&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Polygontal&action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <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="Verktyg" > <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">Verktyg</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">Verktyg</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">dölj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Fler alternativ" > <div class="vector-menu-heading"> Åtgärder </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/Polygontal"><span>Läs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Polygontal&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Polygontal&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Polygontal&action=history"><span>Visa historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Allmänt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:L%C3%A4nkar_hit/Polygontal" title="Lista över alla wikisidor som länkar hit [j]" accesskey="j"><span>Sidor som länkar hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:Senaste_relaterade_%C3%A4ndringar/Polygontal" rel="nofollow" title="Visa senaste ändringarna av sidor som den här sidan länkar till [k]" accesskey="k"><span>Relaterade ändringar</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:Specialsidor" title="Lista över alla specialsidor [q]" accesskey="q"><span>Specialsidor</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Polygontal&oldid=54313979" title="Permanent länk till den här versionen av sidan"><span>Permanent länk</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Polygontal&action=info" title="Mer information om denna sida"><span>Sidinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:Citera&page=Polygontal&id=54313979&wpFormIdentifier=titleform" title="Information om hur den här artikeln kan användas som referens"><span>Använd som referens</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FPolygontal"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FPolygontal"><span>Ladda ner QR-kod</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"> Skriv ut/exportera </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Special:Bok&bookcmd=book_creator&referer=Polygontal"><span>Skapa en bok</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Polygontal&action=show-download-screen"><span>Ladda ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Polygontal&printable=yes" title="Utskriftsvänlig version av den här sidan [p]" accesskey="p"><span>Utskriftsvänlig 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"> På andra projekt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Polygonal_number" hreflang="en"><span>Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q836270" title="Länk till anslutet databasobjekt [g]" accesskey="g"><span>Wikidata-objekt</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="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <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">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</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">Från Wikipedia</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="sv" dir="ltr"><p><b>Polygontal</b> är ett <a href="/wiki/Tal" title="Tal">tal</a> som representerar antalet punkter i en <a href="/wiki/Polygon" title="Polygon">regelbunden polygon</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Definition_och_exempel">Definition och exempel</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=1" title="Redigera avsnitt: Definition och exempel" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=1" title="Redigera avsnitts källkod: Definition och exempel"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Talet 10, till exempel, är ett triangeltal och kan ordnas som en <a href="/wiki/Triangel" title="Triangel">triangel</a>. </p> <dl><dd><table> <tbody><tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span> </td></tr></tbody></table></dd></dl> <p>Men talet 10 kan inte ordnas som en <a href="/wiki/Kvadrat" title="Kvadrat">kvadrat</a>. Talet 9, som är ett <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">kvadrattal</a>, kan däremot det. </p> <dl><dd><table> <tbody><tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> </td></tr></tbody></table></dd></dl> <p>Talet 36, som är ett <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">kvadrattriangulärt tal</a>, kan ordnas både som en kvadrat och en triangel. </p> <dl><dd><table> <tbody><tr align="center" valign="bottom"> <td><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/24px-GrayDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/32px-GrayDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/GrayDot.svg/16px-GrayDot.svg.png" decoding="async" width="16" height="16" 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srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><br /><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:GrayDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/16px-GrayDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/24px-GrayDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/GrayDotX.svg/32px-GrayDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span> </td></tr></tbody></table></dd></dl> <p>Regeln för att förstora polygonen till nästa storlek är att förlänga två närliggande armar av en punkt och sedan lägga till de nödvändiga extra sidor mellan dessa punkter. Nedan visas varje extra lager i rött. </p> <div class="mw-heading mw-heading3"><h3 id="Triangeltal">Triangeltal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=2" title="Redigera avsnitt: Triangeltal" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=2" title="Redigera avsnitts källkod: Triangeltal"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-none" typeof="mw:File"><a href="/wiki/Fil:Polygonal_Number_3.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Polygonal_Number_3.gif/500px-Polygonal_Number_3.gif" decoding="async" width="500" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Polygonal_Number_3.gif/750px-Polygonal_Number_3.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/6/69/Polygonal_Number_3.gif 2x" data-file-width="1000" data-file-height="154" /></a><figcaption></figcaption></figure> <p>  </p> <div class="mw-heading mw-heading3"><h3 id="Kvadrattal">Kvadrattal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=3" title="Redigera avsnitt: Kvadrattal" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=3" title="Redigera avsnitts källkod: Kvadrattal"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-none" typeof="mw:File"><a href="/wiki/Fil:Polygonal_Number_4.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Polygonal_Number_4.gif/500px-Polygonal_Number_4.gif" decoding="async" width="500" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Polygonal_Number_4.gif/750px-Polygonal_Number_4.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/9/99/Polygonal_Number_4.gif 2x" data-file-width="1000" data-file-height="172" /></a><figcaption></figcaption></figure> <p>Polygoner med högre antal sidor kan också byggas enligt denna regel. </p><p>  </p> <div class="mw-heading mw-heading3"><h3 id="Pentagontal">Pentagontal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=4" title="Redigera avsnitt: Pentagontal" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=4" title="Redigera avsnitts källkod: Pentagontal"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-none" typeof="mw:File"><a href="/wiki/Fil:Polygonal_Number_5.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Polygonal_Number_5.gif/500px-Polygonal_Number_5.gif" decoding="async" width="500" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Polygonal_Number_5.gif/750px-Polygonal_Number_5.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/5/54/Polygonal_Number_5.gif 2x" data-file-width="1000" data-file-height="250" /></a><figcaption></figcaption></figure> <p>  </p> <div class="mw-heading mw-heading3"><h3 id="Hexagontal">Hexagontal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=5" title="Redigera avsnitt: Hexagontal" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=5" title="Redigera avsnitts källkod: Hexagontal"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-none" typeof="mw:File"><a href="/wiki/Fil:Polygonal_Number_6.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Polygonal_Number_6.gif/500px-Polygonal_Number_6.gif" decoding="async" width="500" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Polygonal_Number_6.gif/750px-Polygonal_Number_6.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/7/7a/Polygonal_Number_6.gif 2x" data-file-width="1000" data-file-height="250" /></a><figcaption></figcaption></figure> <p>  </p> <div class="mw-heading mw-heading2"><h2 id="Formler">Formler</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=6" title="Redigera avsnitt: Formler" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=6" title="Redigera avsnitts källkod: Formler"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Formeln för det <i>n</i>:te <i>s</i>-gontalet <i>P</i>(<i>s</i>,<i>n</i>) där <i>s</i> är antalet sidor i en polygon är </p> <dl><dd><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 P(s,n)={\frac {n^{2}(s-2)-n(s-4)}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>−</mo> <mi>n</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(s,n)={\frac {n^{2}(s-2)-n(s-4)}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fc8bcb639d6709efa53b39bc4fcd8e57da65999" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:31.498ex; height:5.843ex;" alt="{\displaystyle P(s,n)={\frac {n^{2}(s-2)-n(s-4)}{2}}}"></span></dd></dl> <p>eller </p> <dl><dd><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 P(s,n)={\frac {n(s-2)(n-1)}{2}}+n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>n</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>+</mo> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(s,n)={\frac {n(s-2)(n-1)}{2}}+n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce12fc52892afe3166b273c968cfdf89c1d0a767" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:30.748ex; height:5.676ex;" alt="{\displaystyle P(s,n)={\frac {n(s-2)(n-1)}{2}}+n}"></span></dd></dl> <p>Det <i>n</i>:te <i>s</i>-gontalet är också relaterat till triangeltalen <i>T</i><sub><i>n</i></sub> enligt följande: </p> <dl><dd><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 P(s,n)=(s-2)T_{n-1}+n=(s-3)T_{n-1}+T_{n}\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>n</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>3</mn> <mo stretchy="false">)</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(s,n)=(s-2)T_{n-1}+n=(s-3)T_{n-1}+T_{n}\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73a4fd148862309ec567efd86b80081e243769eb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:47.115ex; height:2.843ex;" alt="{\displaystyle P(s,n)=(s-2)T_{n-1}+n=(s-3)T_{n-1}+T_{n}\,.}"></span></dd></dl> <p>Således: </p> <dl><dd><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 P(s,n+1)-P(s,n)=(s-2)n+1\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>−</mo> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(s,n+1)-P(s,n)=(s-2)n+1\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a35b39cb8c39829356bc660bf27f0109faae1e7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.423ex; height:2.843ex;" alt="{\displaystyle P(s,n+1)-P(s,n)=(s-2)n+1\,,}"></span></dd> <dd><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 P(s+1,n)-P(s,n)=T_{n-1}={\frac {n(n-1)}{2}}\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>P</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>,</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>n</mi> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mn>2</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(s+1,n)-P(s,n)=T_{n-1}={\frac {n(n-1)}{2}}\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c6e5f2c49afc79b5c893b477fc5d8d5cbef35a96" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:42.336ex; height:5.676ex;" alt="{\displaystyle P(s+1,n)-P(s,n)=T_{n-1}={\frac {n(n-1)}{2}}\,.}"></span></dd></dl> <p>För ett givet <i>s</i>-gontal <i>P</i>(<i>s</i>,<i>n</i>) = <i>x</i>, kan man hitta <i>n</i> genom: </p> <dl><dd><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 n={\frac {{\sqrt {(8s-16)x+(s-4)^{2}}}+s-4}{2s-4}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mn>8</mn> <mi>s</mi> <mo>−</mo> <mn>16</mn> <mo stretchy="false">)</mo> <mi>x</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mn>4</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>+</mo> <mi>s</mi> <mo>−</mo> <mn>4</mn> </mrow> <mrow> <mn>2</mn> <mi>s</mi> <mo>−</mo> <mn>4</mn> </mrow> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n={\frac {{\sqrt {(8s-16)x+(s-4)^{2}}}+s-4}{2s-4}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12d09b3a0dfd6735d70db52e4129504cec506efd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:37.588ex; height:6.343ex;" alt="{\displaystyle n={\frac {{\sqrt {(8s-16)x+(s-4)^{2}}}+s-4}{2s-4}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Tabell_över_värden"><span id="Tabell_.C3.B6ver_v.C3.A4rden"></span>Tabell över värden</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=7" title="Redigera avsnitt: Tabell över värden" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=7" title="Redigera avsnitts källkod: Tabell över värden"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th rowspan="2"><i>s</i></th> <th rowspan="2">Namn</th> <th rowspan="2">Formel</th> <th colspan="10"><i>n</i></th> <th rowspan="2">Summan av <a href="/wiki/Reciprok_(matematik)" title="Reciprok (matematik)">reciproka</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-reference-link-bracket">[</span>1<span class="cite-reference-link-bracket">]</span></a></sup></th> <th rowspan="2"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a> </th></tr> <tr> <th>1</th> <th>2</th> <th>3</th> <th>4</th> <th>5</th> <th>6</th> <th>7</th> <th>8</th> <th>9</th> <th>10 </th></tr> <tr> <td>3</td> <td><a href="/wiki/Triangeltal" title="Triangeltal">Triangeltal</a></td> <td>½(<i>n</i>²+<i>n</i>)</td> <td>1</td> <td>3</td> <td>6</td> <td>10</td> <td>15</td> <td>21</td> <td>28</td> <td>36</td> <td>45</td> <td>55</td> <td><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}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1cd79d99bebb64d14aa29122acdbf9dbb3e10919" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle {2}}"></span></td> <td><a href="//oeis.org/A000217" class="extiw" title="oeis:A000217">A000217</a> </td></tr> <tr> <td>4</td> <td><a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrattal</a></td> <td><i>n</i>²</td> <td>1</td> <td>4</td> <td>9</td> <td>16</td> <td>25</td> <td>36</td> <td>49</td> <td>64</td> <td>81</td> <td>100</td> <td><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 {\pi ^{2} \over 6}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>6</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\pi ^{2} \over 6}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8937a15b0e8a56c999dc62887866065f0296492d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:3.225ex; height:5.676ex;" alt="{\displaystyle {\pi ^{2} \over 6}}"></span></td> <td><a href="//oeis.org/A000290" class="extiw" title="oeis:A000290">A000290</a> </td></tr> <tr> <td>5</td> <td><a href="/wiki/Pentagontal" title="Pentagontal">Pentagontal</a></td> <td>½(3<i>n</i>² - <i>n</i>)</td> <td>1</td> <td>5</td> <td>12</td> <td>22</td> <td>35</td> <td>51</td> <td>70</td> <td>92</td> <td>117</td> <td>145</td> <td><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 {3\ln \left(3\right)}-{\pi {\sqrt {3}} \over 3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>3</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {3\ln \left(3\right)}-{\pi {\sqrt {3}} \over 3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea5c3bfcfd5537768e8287c87c1254c202da5f9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.568ex; height:5.843ex;" alt="{\displaystyle {3\ln \left(3\right)}-{\pi {\sqrt {3}} \over 3}}"></span></td> <td><a href="//oeis.org/A000326" class="extiw" title="oeis:A000326">A000326</a> </td></tr> <tr> <td>6</td> <td><a href="/wiki/Hexagontal" title="Hexagontal">Hexagontal</a></td> <td>½(4<i>n</i>² - 2<i>n</i>)</td> <td>1</td> <td>6</td> <td>15</td> <td>28</td> <td>45</td> <td>66</td> <td>91</td> <td>120</td> <td>153</td> <td>190</td> <td><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\ln \left(2\right)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {2\ln \left(2\right)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d39a591d0ed2e028e4aa0d8730a3d8fcfb1714f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.461ex; height:2.843ex;" alt="{\displaystyle {2\ln \left(2\right)}}"></span></td> <td><a href="//oeis.org/A000384" class="extiw" title="oeis:A000384">A000384</a> </td></tr> <tr> <td>7</td> <td><a href="/wiki/Heptagontal" title="Heptagontal">Heptagontal</a></td> <td>½(5<i>n</i>² - 3<i>n</i>)</td> <td>1</td> <td>7</td> <td>18</td> <td>34</td> <td>55</td> <td>81</td> <td>112</td> <td>148</td> <td>189</td> <td>235</td> <td><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 {\begin{matrix}{\frac {1}{15}}{\pi }{\sqrt {25-10{\sqrt {5}}}}+{\frac {2}{3}}\ln(5)\\+{\frac {{1}+{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10-2{\sqrt {5}}}}\right)\\+{\frac {{1}-{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10+2{\sqrt {5}}}}\right)\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>15</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>π</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>25</mn> <mo>−</mo> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mn>5</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mrow> <mn>3</mn> </mfrac> </mrow> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>10</mn> <mo>−</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mrow> <mn>3</mn> </mfrac> </mrow> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>10</mn> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}{\frac {1}{15}}{\pi }{\sqrt {25-10{\sqrt {5}}}}+{\frac {2}{3}}\ln(5)\\+{\frac {{1}+{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10-2{\sqrt {5}}}}\right)\\+{\frac {{1}-{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10+2{\sqrt {5}}}}\right)\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7f9add8a1a2302e39e4eaa9554f21637a204e23" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -8.338ex; width:27.273ex; height:17.843ex;" alt="{\displaystyle {\begin{matrix}{\frac {1}{15}}{\pi }{\sqrt {25-10{\sqrt {5}}}}+{\frac {2}{3}}\ln(5)\\+{\frac {{1}+{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10-2{\sqrt {5}}}}\right)\\+{\frac {{1}-{\sqrt {5}}}{3}}\ln \left({\frac {1}{2}}{\sqrt {10+2{\sqrt {5}}}}\right)\end{matrix}}}"></span><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-reference-link-bracket">[</span>2<span class="cite-reference-link-bracket">]</span></a></sup></td> <td><a href="//oeis.org/A000566" class="extiw" title="oeis:A000566">A000566</a> </td></tr> <tr> <td>8</td> <td><a href="/wiki/Oktogontal" title="Oktogontal">Oktogontal</a></td> <td>½(6<i>n</i>² - 4<i>n</i>)</td> <td>1</td> <td>8</td> <td>21</td> <td>40</td> <td>65</td> <td>96</td> <td>133</td> <td>176</td> <td>225</td> <td>280</td> <td><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 {{3\ln \left(3\right) \over 4}+{\pi {\sqrt {3}} \over 12}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>12</mn> </mfrac> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{3\ln \left(3\right) \over 4}+{\pi {\sqrt {3}} \over 12}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d5a63842a388b3aba595e94ec0d51e03f54cabea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.404ex; height:5.843ex;" alt="{\displaystyle {{3\ln \left(3\right) \over 4}+{\pi {\sqrt {3}} \over 12}}}"></span></td> <td><a href="//oeis.org/A000567" class="extiw" title="oeis:A000567">A000567</a> </td></tr> <tr> <td>9</td> <td><a href="/wiki/Nonagontal" title="Nonagontal">Nonagontal</a></td> <td>½(7<i>n</i>² - 5<i>n</i>)</td> <td>1</td> <td>9</td> <td>24</td> <td>46</td> <td>75</td> <td>111</td> <td>154</td> <td>204</td> <td>261</td> <td>325</td> <td></td> <td><a href="//oeis.org/A001106" class="extiw" title="oeis:A001106">A001106</a> </td></tr> <tr> <td>10</td> <td><a href="/wiki/Dekagontal" title="Dekagontal">Dekagontal</a></td> <td>½(8<i>n</i>² - 6<i>n</i>)</td> <td>1</td> <td>10</td> <td>27</td> <td>52</td> <td>85</td> <td>126</td> <td>175</td> <td>232</td> <td>297</td> <td>370</td> <td><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 {{\ln \left(2\right)}+{\pi \over 6}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>6</mn> </mfrac> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{\ln \left(2\right)}+{\pi \over 6}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/074f0686997412a71c5c0090630e6a6c03d0edcb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.92ex; height:4.676ex;" alt="{\displaystyle {{\ln \left(2\right)}+{\pi \over 6}}}"></span></td> <td><a href="//oeis.org/A001107" class="extiw" title="oeis:A001107">A001107</a> </td></tr> <tr> <td>11</td> <td><a href="/wiki/Hendekagontal" title="Hendekagontal">Hendekagontal</a></td> <td>½(9<i>n</i>² - 7<i>n</i>)</td> <td>1</td> <td>11</td> <td>30</td> <td>58</td> <td>95</td> <td>141</td> <td>196</td> <td>260</td> <td>333</td> <td>415</td> <td></td> <td><a href="//oeis.org/A051682" class="extiw" title="oeis:A051682">A051682</a> </td></tr> <tr> <td>12</td> <td><a href="/wiki/Dodekagontal" title="Dodekagontal">Dodekagontal</a></td> <td>½(10<i>n</i>² - 8<i>n</i>)</td> <td>1</td> <td>12</td> <td>33</td> <td>64</td> <td>105</td> <td>156</td> <td>217</td> <td>288</td> <td>369</td> <td>460</td> <td></td> <td><a href="//oeis.org/A051624" class="extiw" title="oeis:A051624">A051624</a> </td></tr> <tr> <td>13</td> <td><a href="/wiki/Tridekagontal" title="Tridekagontal">Tridekagontal</a></td> <td>½(11<i>n</i>² - 9<i>n</i>)</td> <td>1</td> <td>13</td> <td>36</td> <td>70</td> <td>115</td> <td>171</td> <td>238</td> <td>316</td> <td>405</td> <td>505</td> <td></td> <td><a href="//oeis.org/A051865" class="extiw" title="oeis:A051865">A051865</a> </td></tr> <tr> <td>14</td> <td><a href="/wiki/Tetradekagontal" title="Tetradekagontal">Tetradekagontal</a></td> <td>½(12<i>n</i>² - 10<i>n</i>)</td> <td>1</td> <td>14</td> <td>39</td> <td>76</td> <td>125</td> <td>186</td> <td>259</td> <td>344</td> <td>441</td> <td>550</td> <td><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\ln \left(2\right) \over 5}+{3\ln \left(3\right) \over 10}+{\pi {\sqrt {3}} \over 10}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> <mn>5</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mi>ln</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow> <mn>10</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>10</mn> </mfrac> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{2\ln \left(2\right) \over 5}+{3\ln \left(3\right) \over 10}+{\pi {\sqrt {3}} \over 10}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e79ffb3d3eb74c49ec6cc19e00f8b563caf5239" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:25.541ex; height:5.843ex;" alt="{\displaystyle {{2\ln \left(2\right) \over 5}+{3\ln \left(3\right) \over 10}+{\pi {\sqrt {3}} \over 10}}}"></span></td> <td><a href="//oeis.org/A051866" class="extiw" title="oeis:A051866">A051866</a> </td></tr> <tr> <td>15</td> <td><a href="/wiki/Pentadekagontal" title="Pentadekagontal">Pentadekagontal</a></td> <td>½(13<i>n</i>² - 11<i>n</i>)</td> <td>1</td> <td>15</td> <td>42</td> <td>82</td> <td>135</td> <td>201</td> <td>280</td> <td>372</td> <td>477</td> <td>595</td> <td></td> <td><a href="//oeis.org/A051867" class="extiw" title="oeis:A051867">A051867</a> </td></tr> <tr> <td>16</td> <td><a href="/wiki/Hexadekagontal" title="Hexadekagontal">Hexadekagontal</a></td> <td>½(14<i>n</i>² - 12<i>n</i>)</td> <td>1</td> <td>16</td> <td>45</td> <td>88</td> <td>145</td> <td>216</td> <td>301</td> <td>400</td> <td>513</td> <td>640</td> <td></td> <td><a href="//oeis.org/A051868" class="extiw" title="oeis:A051868">A051868</a> </td></tr> <tr> <td>17</td> <td><a href="/wiki/Heptadekagontal" title="Heptadekagontal">Heptadekagontal</a></td> <td>½(15<i>n</i>² - 13<i>n</i>)</td> <td>1</td> <td>17</td> <td>48</td> <td>94</td> <td>155</td> <td>231</td> <td>322</td> <td>428</td> <td>549</td> <td>685</td> <td></td> <td><a href="//oeis.org/A051869" class="extiw" title="oeis:A051869">A051869</a> </td></tr> <tr> <td>18</td> <td><a href="/wiki/Oktodekagontal" title="Oktodekagontal">Oktodekagontal</a></td> <td>½(16<i>n</i>² - 14<i>n</i>)</td> <td>1</td> <td>18</td> <td>51</td> <td>100</td> <td>165</td> <td>246</td> <td>343</td> <td>456</td> <td>585</td> <td>730</td> <td></td> <td><a href="//oeis.org/A051870" class="extiw" title="oeis:A051870">A051870</a> </td></tr> <tr> <td>19</td> <td><a href="/wiki/Nonadekagontal" title="Nonadekagontal">Nonadekagontal</a></td> <td>½(17<i>n</i>² - 15<i>n</i>)</td> <td>1</td> <td>19</td> <td>54</td> <td>106</td> <td>175</td> <td>261</td> <td>364</td> <td>484</td> <td>621</td> <td>775</td> <td></td> <td><a href="//oeis.org/A051871" class="extiw" title="oeis:A051871">A051871</a> </td></tr> <tr> <td>20</td> <td><a href="/wiki/Ikosagontal" title="Ikosagontal">Ikosagontal</a></td> <td>½(18<i>n</i>² - 16<i>n</i>)</td> <td>1</td> <td>20</td> <td>57</td> <td>112</td> <td>185</td> <td>276</td> <td>385</td> <td>512</td> <td>657</td> <td>820</td> <td></td> <td><a href="//oeis.org/A051872" class="extiw" title="oeis:A051872">A051872</a> </td></tr> <tr> <td>21</td> <td><a href="/wiki/Ikosihenagontal" title="Ikosihenagontal">Ikosihenagontal</a></td> <td>½(19<i>n</i>² - 17<i>n</i>)</td> <td>1</td> <td>21</td> <td>60</td> <td>118</td> <td>195</td> <td>291</td> <td>406</td> <td>540</td> <td>693</td> <td>865</td> <td></td> <td><a href="//oeis.org/A051873" class="extiw" title="oeis:A051873">A051873</a> </td></tr> <tr> <td>22</td> <td><a href="/wiki/Ikosidigontal" title="Ikosidigontal">Ikosidigontal</a></td> <td>½(20<i>n</i>² - 18<i>n</i>)</td> <td>1</td> <td>22</td> <td>63</td> <td>124</td> <td>205</td> <td>306</td> <td>427</td> <td>568</td> <td>729</td> <td>910</td> <td></td> <td><a href="//oeis.org/A051874" class="extiw" title="oeis:A051874">A051874</a> </td></tr> <tr> <td>23</td> <td><a href="/wiki/Ikositrigontal" title="Ikositrigontal">Ikositrigontal</a></td> <td>½(21<i>n</i>² - 19<i>n</i>)</td> <td>1</td> <td>23</td> <td>66</td> <td>130</td> <td>215</td> <td>321</td> <td>448</td> <td>596</td> <td>765</td> <td>955</td> <td></td> <td><a href="//oeis.org/A051875" class="extiw" title="oeis:A051875">A051875</a> </td></tr> <tr> <td>24</td> <td><a href="/wiki/Ikositetragontal" title="Ikositetragontal">Ikositetragontal</a></td> <td>½(22<i>n</i>² - 20<i>n</i>)</td> <td>1</td> <td>24</td> <td>69</td> <td>136</td> <td>225</td> <td>336</td> <td>469</td> <td>624</td> <td>801</td> <td>1000</td> <td></td> <td><a href="//oeis.org/A051876" class="extiw" title="oeis:A051876">A051876</a> </td></tr> <tr> <td>10000</td> <td><a href="/wiki/Myriagontal" title="Myriagontal">Myriagontal</a></td> <td>½(9998<i>n</i>² - 9996<i>n</i>)</td> <td>1</td> <td>10000</td> <td>29997</td> <td>59992</td> <td>99985</td> <td>149976</td> <td>209965</td> <td>279952</td> <td>359937</td> <td>449920</td> <td></td> <td><a href="//oeis.org/A167149" class="extiw" title="oeis:A167149">A167149</a> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Kombinationer">Kombinationer</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=8" title="Redigera avsnitt: Kombinationer" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=8" title="Redigera avsnitts källkod: Kombinationer"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Vissa tal, till exempel 36 som både är ett kvadrattal och ett triangeltal, kan ordnas med fler än en polygoner. I tabellen nedan visas olika kombinationer av polygoner. </p> <table class="wikitable"> <tbody><tr> <th><i>s</i></th> <th><i>t</i></th> <th>Tal</th> <th><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a> </th></tr> <tr> <td>4</td> <td>3</td> <td>1, 36, 1225, 41616, …</td> <td><a href="//oeis.org/A001110" class="extiw" title="oeis:A001110">A001110</a> </td></tr> <tr> <td>5</td> <td>3</td> <td>1, 210, 40755, 7906276, …</td> <td><a href="//oeis.org/A014979" class="extiw" title="oeis:A014979">A014979</a> </td></tr> <tr> <td>5</td> <td>4</td> <td>1, 9801, 94109401, …</td> <td><a href="//oeis.org/A036353" class="extiw" title="oeis:A036353">A036353</a> </td></tr> <tr> <td>6</td> <td>3</td> <td>Alla hexagontal är även triangeltal</td> <td><a href="//oeis.org/A000384" class="extiw" title="oeis:A000384">A000384</a> </td></tr> <tr> <td>6</td> <td>4</td> <td>1, 1225, 1413721, 1631432881, …</td> <td><a href="//oeis.org/A046177" class="extiw" title="oeis:A046177">A046177</a> </td></tr> <tr> <td>6</td> <td>5</td> <td>1, 40755, 1533776805, …</td> <td><a href="//oeis.org/A046180" class="extiw" title="oeis:A046180">A046180</a> </td></tr> <tr> <td>7</td> <td>3</td> <td>1, 55, 121771, 5720653, …</td> <td><a href="//oeis.org/A046194" class="extiw" title="oeis:A046194">A046194</a> </td></tr> <tr> <td>7</td> <td>4</td> <td>1, 81, 5929, 2307361, …</td> <td><a href="//oeis.org/A036354" class="extiw" title="oeis:A036354">A036354</a> </td></tr> <tr> <td>7</td> <td>5</td> <td>1, 4347, 16701685, 64167869935, …</td> <td><a href="//oeis.org/A048900" class="extiw" title="oeis:A048900">A048900</a> </td></tr> <tr> <td>7</td> <td>6</td> <td>1, 121771, 12625478965, …</td> <td><a href="//oeis.org/A048903" class="extiw" title="oeis:A048903">A048903</a> </td></tr> <tr> <td>8</td> <td>3</td> <td>1, 21, 11781, 203841, …</td> <td><a href="//oeis.org/A046183" class="extiw" title="oeis:A046183">A046183</a> </td></tr> <tr> <td>8</td> <td>4</td> <td>1, 225, 43681, 8473921, …</td> <td><a href="//oeis.org/A036428" class="extiw" title="oeis:A036428">A036428</a> </td></tr> <tr> <td>8</td> <td>5</td> <td>1, 176, 1575425, 234631320, …</td> <td><a href="//oeis.org/A046189" class="extiw" title="oeis:A046189">A046189</a> </td></tr> <tr> <td>8</td> <td>6</td> <td>1, 11781, 113123361, …</td> <td><a href="//oeis.org/A046192" class="extiw" title="oeis:A046192">A046192</a> </td></tr> <tr> <td>8</td> <td>7</td> <td>1, 297045, 69010153345, …</td> <td><a href="//oeis.org/A048906" class="extiw" title="oeis:A048906">A048906</a> </td></tr> <tr> <td>9</td> <td>3</td> <td>1, 325, 82621, 20985481, …</td> <td><a href="//oeis.org/A048909" class="extiw" title="oeis:A048909">A048909</a> </td></tr> <tr> <td>9</td> <td>4</td> <td>1, 9, 1089, 8281, 978121, …</td> <td><a href="//oeis.org/A036411" class="extiw" title="oeis:A036411">A036411</a> </td></tr> <tr> <td>9</td> <td>5</td> <td>1, 651, 180868051, …</td> <td><a href="//oeis.org/A048915" class="extiw" title="oeis:A048915">A048915</a> </td></tr> <tr> <td>9</td> <td>6</td> <td>1, 325, 5330229625, …</td> <td><a href="//oeis.org/A048918" class="extiw" title="oeis:A048918">A048918</a> </td></tr> <tr> <td>9</td> <td>7</td> <td>1, 26884, 542041975, …</td> <td><a href="//oeis.org/A048921" class="extiw" title="oeis:A048921">A048921</a> </td></tr> <tr> <td>9</td> <td>8</td> <td>1, 631125, 286703855361, …</td> <td><a href="//oeis.org/A048924" class="extiw" title="oeis:A048924">A048924</a> </td></tr></tbody></table> <p>I vissa fall, till exempel <i>s</i> = 10 och <i>t</i> = 4, finns det inga tal i båda polygonerna förutom 1. </p><p>För fallet <i>s</i> = 4 och <i>t</i> = 3, se <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">kvadrattriangulärt tal</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=9" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=9" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li></ul> <dl><dd><span class="plainlinks"><i>Den här artikeln är helt eller delvis baserad på material från <a href="/wiki/Engelskspr%C3%A5kiga_Wikipedia" title="Engelskspråkiga Wikipedia">engelskspråkiga Wikipedia</a>, <a class="external text" href="https://en.wikipedia.org/wiki/Polygonal_number">Polygonal number</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Polygonal_number&oldid=558470656">26 juni 2013</a>.</i></span></dd></dl> <ul><li><i>The Penguin Dictionary of Curious and Interesting Numbers</i>, David Wells (Penguin Books, 1997) <a href="/wiki/Special:Bokk%C3%A4llor/0-14-026149-4" title="Special:Bokkällor/0-14-026149-4">ISBN 0-14-026149-4</a></li> <li><a rel="nofollow" class="external text" href="https://planetmath.org/encyclopedia/PolygonalNumber.html">Polygonal numbers at PlanetMath</a></li> <li>Weisstein, Eric W., "<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Numbers</a>", <i><a href="/wiki/MathWorld" class="mw-redirect" title="MathWorld">MathWorld</a></i>.</li> <li><cite style="font-style:normal" class="book" id="CITEREFF._Tapson1999">F. Tapson (1999). <i><span>The Oxford Mathematics Study Dictionary</span></i> (2nd). Oxford University Press. sid. 88-89. <a href="/wiki/Special:Bokk%C3%A4llor/0-19-914-567-9" title="Special:Bokkällor/0-19-914-567-9">ISBN 0-19-914-567-9</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Oxford+Mathematics+Study+Dictionary&rft.aulast=F.+Tapson&rft.au=F.+Tapson&rft.date=1999&rft.pages=sid.%26nbsp%3B88-89&rft.edition=2nd&rft.pub=Oxford+University+Press&rft.isbn=0-19-914-567-9&rfr_id=info:sid/en.wikipedia.org:Polygontal"><span style="display: none;"> </span></span></li></ul> <div class="mw-heading mw-heading3"><h3 id="Fotnoter">Fotnoter</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Polygontal&veaction=edit&section=10" title="Redigera avsnitt: Fotnoter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Polygontal&action=edit&section=10" title="Redigera avsnitts källkod: Fotnoter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">^</a> <span class="reference-text"><cite style="font-style:normal" class="web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20130529032918/http://www.math.psu.edu/sellersj/downey_ong_sellers_cmj_preprint.pdf">”Beyond the Basel Problem: Sums of Reciprocals of Figurate Numbers”</a>. Arkiverad från <a rel="nofollow" class="external text" href="http://www.math.psu.edu/sellersj/downey_ong_sellers_cmj_preprint.pdf">originalet</a> den 29 maj 2013<span class="printonly">. <a rel="nofollow" class="external free" href="https://web.archive.org/web/20130529032918/http://www.math.psu.edu/sellersj/downey_ong_sellers_cmj_preprint.pdf">https://web.archive.org/web/20130529032918/http://www.math.psu.edu/sellersj/downey_ong_sellers_cmj_preprint.pdf</a></span><span class="reference-accessdate">. Läst 26 juni 2013</span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Beyond+the+Basel+Problem%3A+Sums+of+Reciprocals+of+Figurate+Numbers&rft.atitle=&rft_id=https%3A%2F%2Fweb.archive.org%2Fweb%2F20130529032918%2Fhttp%3A%2F%2Fwww.math.psu.edu%2Fsellersj%2Fdowney_ong_sellers_cmj_preprint.pdf&rfr_id=info:sid/en.wikipedia.org:Polygontal"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-2"><a href="#cite_ref-2">^</a> <span class="reference-text"><cite style="font-style:normal" class="web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110615085610/http://www.siam.org/journals/problems/downloadfiles/07-003s.pdf">”Sums of Reciprocals of Polygonal Numbers and a Theorem of Gauss”</a>. Society for Industrial and Applied Mathematics. Arkiverad från <a rel="nofollow" class="external text" href="http://www.siam.org/journals/problems/downloadfiles/07-003s.pdf">originalet</a> den 15 juni 2011<span class="printonly">. <a rel="nofollow" class="external free" href="https://web.archive.org/web/20110615085610/http://www.siam.org/journals/problems/downloadfiles/07-003s.pdf">https://web.archive.org/web/20110615085610/http://www.siam.org/journals/problems/downloadfiles/07-003s.pdf</a></span><span class="reference-accessdate">. Läst 13 juni 2010</span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Sums+of+Reciprocals+of+Polygonal+Numbers+and+a+Theorem+of+Gauss&rft.atitle=&rft.pub=Society+for+Industrial+and+Applied+Mathematics&rft_id=https%3A%2F%2Fweb.archive.org%2Fweb%2F20110615085610%2Fhttp%3A%2F%2Fwww.siam.org%2Fjournals%2Fproblems%2Fdownloadfiles%2F07-003s.pdf&rfr_id=info:sid/en.wikipedia.org:Polygontal"><span style="display: none;"> </span></span></span> </li> </ol></div> <style data-mw-deduplicate="TemplateStyles:r56287950">.mw-parser-output table.navbox{border:#aaa 1px solid;width:100%;margin:auto;margin-top:1em;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output link+table.navbox{margin-top:-1px}.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow,.mw-parser-output table.navbox th{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-thlinkcolor .navbox-title button,.mw-parser-output .navbox-thlinkcolor .navbox-title .mw-collapsible-text,.mw-parser-output .navbox-thlinkcolor .navbox-title a{color:inherit}.mw-parser-output .nowraplinks a,.mw-parser-output .nowraplinks .selflink{white-space:nowrap}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right;font-weight:bold;padding-left:1em;padding-right:1em}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-title,.mw-parser-output table.navbox th{background:#b0c4de}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background:#d0e0f5}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background:#deeafa}.mw-parser-output .navbox-even{background:#f7f7f7}.mw-parser-output .navbox-odd{background:transparent}</style><table class="navbox" style="border-spacing:0; ;"><tbody><tr><td style="padding:2px;"><table class="collapsible collapsed" style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="2" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:Naturliga_tal" title="Mall:Naturliga tal"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Naturliga_tal&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Naturliga_tal" title="Naturliga tal">Naturliga tal</a> (ℕ)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;"> Heltalspotenser</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Akillestal" title="Akillestal">Akilles</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tv%C3%A5potens" title="Tvåpotens">Tvåpotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tiopotens" title="Tiopotens">Tiopotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fj%C3%A4rde_potens" title="Fjärde potens">Fjärde potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Femte_potens" title="Femte potens">Femte potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primtalspotens" title="Primtalspotens">Primtalspotens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"> Av formen <i>a</i> × 2<sup><i>b</i></sup> ± 1</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Cullental" title="Cullental">Cullen</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dubbelt_Mersennetal" title="Dubbelt Mersennetal">Dubbelt Mersenne</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fermattal" title="Fermattal">Fermat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mersennetal" class="mw-redirect" title="Mersennetal">Mersenne</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Prothtal" title="Prothtal">Proth</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Thabittal" title="Thabittal">Thabit</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Woodalltal" title="Woodalltal">Woodall</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra polynomtal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Caroltal" title="Caroltal">Carol</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hilberttal" title="Hilberttal">Hilbert</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kyneatal" title="Kyneatal">Kynea</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leylandtal" title="Leylandtal">Leyland</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Eulers_lyckotal" title="Eulers lyckotal">Eulers lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Rekursion" title="Rekursion">Rekursivt</a> definierade tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Fibonaccital" title="Fibonaccital">Fibonacci</a> (Ordning: <a href="/wiki/Tribonaccital" title="Tribonaccital">3</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tetranaccital" title="Tetranaccital">4</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentanaccital" title="Pentanaccital">5</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexanaccital" title="Hexanaccital">6</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptanaccital" title="Heptanaccital">7</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktanaccital" title="Oktanaccital">8</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonaccital" title="Nonaccital">9</a>)<span style="font-weight:bold;"> · </span> <a href="/wiki/Jacobsthaltal" title="Jacobsthaltal">Jacobsthal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leonardotal" title="Leonardotal">Leonardo</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perrintal" title="Perrintal">Perrin</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Ospecifika <a href="/wiki/M%C3%A4ngd" title="Mängd">mängder</a> av andra <a href="/wiki/Tal" title="Tal">tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Kn%C3%B6deltal" title="Knödeltal">Knödel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Uttryckbara via specifika summor</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Praktiskt_tal" title="Praktiskt tal">Praktiskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Prim%C3%A4rt_pseudoperfekt_tal" title="Primärt pseudoperfekt tal">Primärt pseudoperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ulamtal" title="Ulamtal">Ulam</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Wolstenholmetal" title="Wolstenholmetal">Wolstenholme</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Genererade via ett <a href="/w/index.php?title=S%C3%A5ll_(matematik)&action=edit&redlink=1" class="new" title="Såll (matematik) [inte skriven än]">såll</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Lyckotal" title="Lyckotal">Lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kodning" title="Kodning">Kodrelaterade</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Meertenstal" title="Meertenstal">Meertens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Figurtal" title="Figurtal">Figurtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/2D" class="mw-redirect" title="2D">2D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a class="mw-selflink selflink">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Triangeltal" title="Triangeltal">Triangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentagontal" title="Pentagontal">5∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexagontal" title="Hexagontal">6∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptagontal" title="Heptagontal">7∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktogontal" title="Oktogontal">8∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonagontal" title="Nonagontal">9∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dekagontal" title="Dekagontal">10∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hendekagontal" title="Hendekagontal">11∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekagontal" title="Dodekagontal">12∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tridekagontal" title="Tridekagontal">13∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tetradekagontal" title="Tetradekagontal">14∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentadekagontal" title="Pentadekagontal">15∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexadekagontal" title="Hexadekagontal">16∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptadekagontal" title="Heptadekagontal">17∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktodekagontal" title="Oktodekagontal">18∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonadekagontal" title="Nonadekagontal">19∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosagontal" title="Ikosagontal">20∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosihenagontal" title="Ikosihenagontal">21∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosidigontal" title="Ikosidigontal">22∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositrigontal" title="Ikositrigontal">23∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositetragontal" title="Ikositetragontal">24∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Myriagontal" title="Myriagontal">Myriagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Centrerat_polygontal" title="Centrerat polygontal">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_triangeltal" title="Centrerat triangeltal">Centrerad triangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_kvadrattal" title="Centrerat kvadrattal">Centrerad kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_pentagontal" title="Centrerat pentagontal">Centrerad pentagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_hexagontal" title="Centrerat hexagontal">Centrerad hexagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_heptagontal" title="Centrerat heptagontal">Centrerad heptagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktogontal" title="Centrerat oktogontal">Centrerad oktogon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_nonagontal" title="Centrerat nonagontal">Centrerad nonagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dekagontal" title="Centrerat dekagontal">Centrerad dekagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Stj%C3%A4rntal" title="Stjärntal">Stjärna</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/3D" class="mw-redirect" title="3D">3D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Polyedertal" class="mw-redirect" title="Polyedertal">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tetraedertal" title="Tetraedertal">Tetraeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kubiktal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktaedertal" title="Oktaedertal">Oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekaedertal" title="Dodekaedertal">Dodekaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosaedertal" title="Ikosaedertal">Ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Centrerat_polyedertal" title="Centrerat polyedertal">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_tetraedertal" title="Centrerat tetraedertal">Centrerad tetraeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_kubiktal" title="Centrerat kubiktal">Centrerad kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktaedertal" title="Centrerat oktaedertal">Centrerad oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dodekaedertal" title="Centrerat dodekaedertal">Centrerad dodekaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_ikosaedertal" title="Centrerat ikosaedertal">Centrerad ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Pyramidtal" title="Pyramidtal">Pyramidtal</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Pentagonalt_pyramidtal" title="Pentagonalt pyramidtal">Pentagonal pyramid</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexagonalt_pyramidtal" title="Hexagonalt pyramidtal">Hexagonal pyramid</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptagonalt_pyramidtal" title="Heptagonalt pyramidtal">Heptagonal pyramid</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/4D" class="mw-redirect" title="4D">4D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tesserakttal" title="Tesserakttal">Tesserakt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">Kvadrattriangulärt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kubkvadrat" class="mw-redirect" title="Kubkvadrat">Kubkvadrat</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Pseudoprimtal" title="Pseudoprimtal">Pseudoprimtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Carmichaeltal" title="Carmichaeltal">Carmichael</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Elliptiskt_pseudoprimtal" title="Elliptiskt pseudoprimtal">Elliptiskt pseudoprimtal</a><span style="font-weight:bold;"> · </span></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kombinatorik" title="Kombinatorik">Kombinatoriska tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Belltal" title="Belltal">Bell</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Catalantal" title="Catalantal">Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fuss%E2%80%93Catalantal" title="Fuss–Catalantal">Fuss–Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Motzkintal" title="Motzkintal">Motzkin</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Schr%C3%B6dertal" title="Schrödertal">Schröder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Aritmetiska funktioner</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen" title="Sigmafunktionen">σ(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Ymnigt_tal" title="Ymnigt tal">Ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Descartestal" title="Descartestal">Descartes</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superperfekt_tal" title="Superperfekt tal">Superfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Ω(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/N%C3%A4stan-primtal" title="Nästan-primtal">Nästan-primtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiprimtal" title="Semiprimtal">Semiprimtal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen#Definition" title="Sigmafunktionen">s(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/V%C3%A4nskapligt_tal" title="Vänskapligt tal">Vänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiperfekt_tal" title="Semiperfekt tal">Semiperfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Övriga tal</div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Euklidestal" title="Euklidestal">Euklides</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra <a href="/wiki/Primtalsfaktor" title="Primtalsfaktor">primtalsfaktor</a>- eller <br /><a href="/wiki/Delbarhet" title="Delbarhet">delbarhetsrelarerade</a> tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Erd%C5%91s%E2%80%93Woodstal" title="Erdős–Woodstal">Erdős–Woods</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Giugatal" title="Giugatal">Giuga</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lucas%E2%80%93Carmichaeltal" title="Lucas–Carmichaeltal">Lucas–Carmichael</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sfeniskt_tal" title="Sfeniskt tal">Sfeniskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/St%C3%B8rmertal" title="Størmertal">Størmer</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Zeiseltal" title="Zeiseltal">Zeisel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Talbas" title="Talbas">Bas</a>-beroende tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Cykliskt_tal" title="Cykliskt tal">Cykliskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dudeneytal" title="Dudeneytal">Dudeney</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Extravagant_tal" title="Extravagant tal">Extravagant</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Friedmantal" title="Friedmantal">Friedman</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Glada_tal" title="Glada tal">Glada</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Harshadtal" title="Harshadtal">Harshad</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kaprekartal" title="Kaprekartal">Kaprekar</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Keithtal" title="Keithtal">Keith</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lychreltal" class="mw-redirect" title="Lychreltal">Lychrel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Palindromtal" title="Palindromtal">Palindrom</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Smarandache%E2%80%93Wellintal" title="Smarandache–Wellintal">Smarandache–Wellin</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Vampyrtal" title="Vampyrtal">Vampyr</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Rekreationell_matematik" class="mw-redirect" title="Rekreationell matematik">Rekreationell matematik</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/w/index.php?title=Bantal_(matematik)&action=edit&redlink=1" class="new" title="Bantal (matematik) [inte skriven än]">Ban</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Armstrongtal" title="Armstrongtal">Armstrong</a></div></td></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-abovebelow" style=";" colspan="2"><a href="/wiki/Kategori:Heltalsm%C3%A4ngder" title="Kategori:Heltalsmängder">Heltalsmängder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lista_%C3%B6ver_tal" title="Lista över tal">Lista över 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