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[o]" accesskey="o" class=""><span>Přihlášení</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="Další možnosti" > <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="Osobní nástroje" > <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">Osobní nástroje</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Uživatelské menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=cs.wikipedia.org&uselang=cs"><span>Podpořte Wikipedii</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:Vytvo%C5%99it_%C3%BA%C4%8Det&returnto=8simplex" title="Doporučujeme vytvořit si účet a přihlásit se, ovšem není to povinné"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Vytvoření účtu</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:P%C5%99ihl%C3%A1sit&returnto=8simplex" title="Doporučujeme vám přihlásit se, ovšem není to povinné. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Přihlášení</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"> Stránky pro odhlášené editory <a href="/wiki/N%C3%A1pov%C4%9Bda:%C3%9Avod" aria-label="Více informací o editování"><span>dozvědět se více</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/Speci%C3%A1ln%C3%AD:Moje_p%C5%99%C3%ADsp%C4%9Bvky" title="Seznam editací provedených z této IP adresy [y]" accesskey="y"><span>Příspěvky</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speci%C3%A1ln%C3%AD:Moje_diskuse" title="Diskuse o editacích provedených z této IP adresy [n]" accesskey="n"><span>Diskuse</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="Projekt"> <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="Obsah" 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">Obsah</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">přesunout do postranního panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrýt</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">(úvod)</div> </a> </li> <li id="toc-Objem_a_obsah_8simplexu" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Objem_a_obsah_8simplexu"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Objem a obsah 8simplexu</span> </div> </a> <ul id="toc-Objem_a_obsah_8simplexu-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Obsah" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Obsah" > <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="Přepnout obsah" > <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">Přepnout obsah</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">8simplex</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="Přejděte k článku v jiném jazyce. Je dostupný v 3 jazycích" > <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-3" 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">3 jazyky</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/8-simplex" title="8-simplex – angličtina" lang="en" hreflang="en" data-title="8-simplex" data-language-autonym="English" data-language-local-name="angličtina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_8-%D1%81%D0%B8%D0%BC%D0%BF%D0%BB%D0%B5%D0%BA%D1%81" title="Правильный 8-симплекс – ruština" lang="ru" hreflang="ru" data-title="Правильный 8-симплекс" data-language-autonym="Русский" data-language-local-name="ruština" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9_8-%D1%81%D0%B8%D0%BC%D0%BF%D0%BB%D0%B5%D0%BA%D1%81" title="Правильний 8-симплекс – ukrajinština" lang="uk" hreflang="uk" data-title="Правильний 8-симплекс" data-language-autonym="Українська" data-language-local-name="ukrajinština" class="interlanguage-link-target"><span>Українська</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/Q4644299#sitelinks-wikipedia" title="Editovat mezijazykové odkazy" class="wbc-editpage">Upravit odkazy</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="Jmenné prostory"> <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/8simplex" title="Zobrazit obsahovou stránku [c]" accesskey="c"><span>Článek</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskuse:8simplex&action=edit&redlink=1" rel="discussion" class="new" title="Diskuse ke stránce (stránka neexistuje) [t]" accesskey="t"><span>Diskuse</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="Změnit variantu jazyka" > <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">čeština</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="Zobrazení"> <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/8simplex"><span>Číst</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=8simplex&veaction=edit" title="Editovat tuto stránku [v]" accesskey="v"><span>Editovat</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=8simplex&action=edit" title="Editovat zdrojový kód této stránky [e]" accesskey="e"><span>Editovat zdroj</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=8simplex&action=history" title="Starší verze této stránky. [h]" accesskey="h"><span>Zobrazit historii</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Nástroje ke stránce"> <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="Nástroje" > <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">Nástroje</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">Nástroje</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">přesunout do postranního panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skrýt</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Další možnosti" > <div class="vector-menu-heading"> Akce </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/8simplex"><span>Číst</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=8simplex&veaction=edit" title="Editovat tuto stránku [v]" accesskey="v"><span>Editovat</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=8simplex&action=edit" title="Editovat zdrojový kód této stránky [e]" accesskey="e"><span>Editovat zdroj</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=8simplex&action=history"><span>Zobrazit historii</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Obecné </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speci%C3%A1ln%C3%AD:Co_odkazuje_na/8simplex" title="Seznam všech wikistránek, které sem odkazují [j]" accesskey="j"><span>Odkazuje sem</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speci%C3%A1ln%C3%AD:Souvisej%C3%ADc%C3%AD_zm%C4%9Bny/8simplex" rel="nofollow" title="Nedávné změny stránek, na které je odkazováno [k]" accesskey="k"><span>Související změny</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=cs" title="Nahrát obrázky či jiná multimédia [u]" accesskey="u"><span>Načíst soubor</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=8simplex&oldid=19671121" title="Trvalý odkaz na současnou verzi této stránky"><span>Trvalý odkaz</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=8simplex&action=info" title="Více informací o této stránce"><span>Informace o stránce</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:Citovat&page=8simplex&id=19671121&wpFormIdentifier=titleform" title="Informace o tom, jak citovat tuto stránku"><span>Citovat stránku</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:UrlShortener&url=https%3A%2F%2Fcs.wikipedia.org%2Fwiki%2F8simplex"><span>Získat zkrácené URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:QrCode&url=https%3A%2F%2Fcs.wikipedia.org%2Fwiki%2F8simplex"><span>Stáhnout QR kód</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"> Tisk/export </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=Speci%C3%A1ln%C3%AD:Kniha&bookcmd=book_creator&referer=8simplex"><span>Vytvořit knihu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speci%C3%A1ln%C3%AD:DownloadAsPdf&page=8simplex&action=show-download-screen"><span>Stáhnout jako PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=8simplex&printable=yes" title="Tato stránka v podobě vhodné k tisku [p]" accesskey="p"><span>Verze k tisku</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"> Na jiných projektech </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q4644299" title="Odkaz na propojenou položku datového úložiště [g]" accesskey="g"><span>Položka Wikidat</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="Nástroje ke stránce"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Vzhled"> <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">Vzhled</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">přesunout do postranního panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrýt</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">Z Wikipedie, otevřené encyklopedie</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="cs" dir="ltr"><p>V <a href="/wiki/Geometrie" title="Geometrie">geometrii</a> je <b>8simplex</b> osmirozměrnou analogií <a href="/wiki/%C4%8Cty%C5%99st%C4%9Bn" title="Čtyřstěn">tetraedru</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Objem_a_obsah_8simplexu">Objem a obsah 8simplexu</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=8simplex&veaction=edit&section=1" title="Editace sekce: Objem a obsah 8simplexu" class="mw-editsection-visualeditor"><span>editovat</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=8simplex&action=edit&section=1" title="Editovat zdrojový kód sekce Objem a obsah 8simplexu"><span>editovat zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Následující vzorce udávají, jaký je objem <b>8simplexu</b>, a jeho k-rozměrné povrchy (což je vždy obsah k-rozměrné stěny krát počet těchto stěn) v závislosti na hraně a. </p><p><br /> <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 V={{\sqrt {9}}a^{8} \over 645120}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>9</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>8</mn> </mrow> </msup> </mrow> <mn>645120</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={{\sqrt {9}}a^{8} \over 645120}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f751ddaa4521552e0ebd3ded50d2b0eb5bbd1762" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:12.697ex; height:6.009ex;" alt="{\displaystyle V={{\sqrt {9}}a^{8} \over 645120}}" /></span> </p><p><br /> <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 S_{7D}={a^{7} \over 2240}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>7</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>7</mn> </mrow> </msup> <mn>2240</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{7D}={a^{7} \over 2240}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41fe4b6138c32e2d4a21aa4b19ed5acf98dfa9d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:12.424ex; height:5.843ex;" alt="{\displaystyle S_{7D}={a^{7} \over 2240}}" /></span> </p><p><br /> <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 S_{6D}={{\sqrt {7}}a^{6} \over 160}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>7</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msup> </mrow> <mn>160</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{6D}={{\sqrt {7}}a^{6} \over 160}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f1d8825eb1ff4842e5a690b81f7611a9b74faf0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.157ex; height:5.843ex;" alt="{\displaystyle S_{6D}={{\sqrt {7}}a^{6} \over 160}}" /></span> </p><p><br /> <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 S_{5D}={7{\sqrt {3}}a^{5} \over 40}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>7</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> </mrow> <mn>40</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{5D}={7{\sqrt {3}}a^{5} \over 40}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68c7d5647d653eda3eaad45b4cd130db990447b9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:14.319ex; height:6.009ex;" alt="{\displaystyle S_{5D}={7{\sqrt {3}}a^{5} \over 40}}" /></span> </p><p><br /> <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 S_{4D}={21{\sqrt {5}}a^{4} \over 16}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>21</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> </mrow> <mn>16</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{4D}={21{\sqrt {5}}a^{4} \over 16}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bf91dc4876529691fe54792373c4bd75974ee30" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.482ex; height:5.843ex;" alt="{\displaystyle S_{4D}={21{\sqrt {5}}a^{4} \over 16}}" /></span> </p><p><br /> <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 S_{3D}={21{\sqrt {2}}a^{3} \over 2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>21</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{3D}={21{\sqrt {2}}a^{3} \over 2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/08435cc4c5d79c01874055a25f0c521e0f79f804" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.482ex; height:5.843ex;" alt="{\displaystyle S_{3D}={21{\sqrt {2}}a^{3} \over 2}}" /></span> </p><p><br /> <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 S_{2D}={21{\sqrt {3}}a^{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>21</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{2D}={21{\sqrt {3}}a^{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1a96192dfcf9b1dce91b738ab203092b55ab900" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.646ex; height:3.009ex;" alt="{\displaystyle S_{2D}={21{\sqrt {3}}a^{2}}}" /></span> </p><p><br /> <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 S_{1D}={36a}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>36</mn> <mi>a</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{1D}={36a}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4eee44dd049f0ad5f37e63a86713e6b9c7086333" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.493ex; height:2.509ex;" alt="{\displaystyle S_{1D}={36a}}" /></span> </p><p><br /> </p> <table class="wikitable"> <tbody><tr> <th colspan="5">Vícerozměrná geometrická tělesa </th></tr> <tr> <td>d=2</td> <td><a href="/wiki/Troj%C3%BAheln%C3%ADk" title="Trojúhelník">trojúhelník</a></td> <td><a href="/wiki/%C4%8Ctverec" title="Čtverec">čtverec</a></td> <td><a href="/wiki/%C5%A0esti%C3%BAheln%C3%ADk" title="Šestiúhelník">šestiúhelník</a></td> <td><a href="/wiki/P%C4%9Bti%C3%BAheln%C3%ADk" title="Pětiúhelník">pětiúhelník</a> </td></tr> <tr> <td>d=3</td> <td><a href="/wiki/%C4%8Cty%C5%99st%C4%9Bn" title="Čtyřstěn">tetraedr</a></td> <td><a href="/wiki/Krychle" title="Krychle">krychle</a>, <a href="/wiki/Osmist%C4%9Bn" title="Osmistěn">oktaedr</a></td> <td><a href="/w/index.php?title=Krychloktaedr&action=edit&redlink=1" class="new" title="Krychloktaedr (stránka neexistuje)">krychloktaedr</a>, <a href="/wiki/Koso%C4%8Dtvere%C4%8Dn%C3%BD_dvan%C3%A1ctist%C4%9Bn" title="Kosočtverečný dvanáctistěn">kosočtverečný dvanáctistěn</a></td> <td><a href="/wiki/Dvan%C3%A1ctist%C4%9Bn" title="Dvanáctistěn">dvanáctistěn</a>, <a href="/wiki/Dvacetist%C4%9Bn" title="Dvacetistěn">dvacetistěn</a> </td></tr> <tr> <td>d=4</td> <td><a href="/wiki/5nadst%C4%9Bn" title="5nadstěn">5nadstěn</a></td> <td><a href="/wiki/Teserakt" title="Teserakt">teserakt</a>, <a href="/wiki/16nadst%C4%9Bn" title="16nadstěn">16nadstěn</a></td> <td><a href="/wiki/24nadst%C4%9Bn" title="24nadstěn">24nadstěn</a></td> <td><a href="/wiki/120nadst%C4%9Bn" title="120nadstěn">120nadstěn</a>, <a href="/wiki/600nadst%C4%9Bn" title="600nadstěn">600nadstěn</a> </td></tr> <tr> <td>d=5</td> <td><a href="/wiki/5simplex" title="5simplex">5simplex</a></td> <td><a href="/wiki/Penterakt" title="Penterakt">penterakt</a>, <a href="/w/index.php?title=5ortoplex&action=edit&redlink=1" class="new" title="5ortoplex (stránka neexistuje)">5ortoplex</a> </td></tr> <tr> <td>d=6</td> <td><a href="/wiki/6simplex" title="6simplex">6simplex</a></td> <td><a href="/wiki/Hexerakt" title="Hexerakt">hexerakt</a>, <a href="/w/index.php?title=6ortoplex&action=edit&redlink=1" class="new" title="6ortoplex (stránka neexistuje)">6ortoplex</a> </td></tr> <tr> <td>d=7</td> <td><a href="/wiki/7simplex" title="7simplex">7simplex</a></td> <td><a href="/wiki/Hepterakt" title="Hepterakt">hepterakt</a>, <a href="/w/index.php?title=7ortoplex&action=edit&redlink=1" class="new" title="7ortoplex (stránka neexistuje)">7ortoplex</a> </td></tr> <tr> <td>d=8</td> <td><a class="mw-selflink selflink">8simplex</a></td> <td><a href="/wiki/Okterakt" title="Okterakt">okterakt</a>, <a href="/w/index.php?title=8ortoplex&action=edit&redlink=1" class="new" title="8ortoplex (stránka neexistuje)">8ortoplex</a> </td></tr> <tr> <td>d=9</td> <td><a href="/wiki/9simplex" title="9simplex">9simplex</a></td> <td><a href="/wiki/Ennerakt" title="Ennerakt">ennerakt</a>, <a href="/w/index.php?title=9ortoplex&action=edit&redlink=1" class="new" title="9ortoplex (stránka neexistuje)">9ortoplex</a> </td></tr> <tr> <td>d=10</td> <td><a href="/wiki/10simplex" title="10simplex">10simplex</a></td> <td><a href="/wiki/Dekerakt" title="Dekerakt">dekerakt</a>, <a href="/w/index.php?title=10ortoplex&action=edit&redlink=1" class="new" title="10ortoplex (stránka neexistuje)">10ortoplex</a> </td></tr> <tr> <td>d=11</td> <td><a href="/wiki/11simplex" title="11simplex">11simplex</a></td> <td><a href="/wiki/Hendekerakt" title="Hendekerakt">hendekerakt</a>, <a href="/w/index.php?title=11ortoplex&action=edit&redlink=1" class="new" title="11ortoplex (stránka neexistuje)">11ortoplex</a> </td></tr> <tr> <td>d=12</td> <td><a href="/wiki/12simplex" title="12simplex">12simplex</a></td> <td><a href="/wiki/Dodekerakt" title="Dodekerakt">dodekerakt</a>, <a href="/w/index.php?title=12ortoplex&action=edit&redlink=1" class="new" title="12ortoplex (stránka neexistuje)">12ortoplex</a> </td></tr> <tr> <td>d=13</td> <td><a href="/w/index.php?title=13simplex&action=edit&redlink=1" class="new" title="13simplex (stránka neexistuje)">13simplex</a></td> <td><a href="/wiki/Triskaidekerakt" title="Triskaidekerakt">triskaidekerakt</a>, <a href="/w/index.php?title=13ortoplex&action=edit&redlink=1" class="new" title="13ortoplex (stránka neexistuje)">13ortoplex</a> </td></tr> <tr> <td>d=14</td> <td><a href="/w/index.php?title=14simplex&action=edit&redlink=1" class="new" title="14simplex (stránka neexistuje)">14simplex</a></td> <td><a href="/wiki/Tetradekerakt" title="Tetradekerakt">tetradekerakt</a>, <a href="/w/index.php?title=14ortoplex&action=edit&redlink=1" class="new" title="14ortoplex (stránka neexistuje)">14ortoplex</a> </td></tr> <tr> <td>d=15</td> <td><a href="/w/index.php?title=15simplex&action=edit&redlink=1" class="new" title="15simplex (stránka neexistuje)">15simplex</a></td> <td><a href="/wiki/Pentadekerakt" title="Pentadekerakt">pentadekerakt</a>, <a href="/w/index.php?title=15ortoplex&action=edit&redlink=1" class="new" title="15ortoplex (stránka neexistuje)">15ortoplex</a> </td></tr> <tr> <td>d=16</td> <td><a href="/w/index.php?title=16simplex&action=edit&redlink=1" class="new" title="16simplex (stránka neexistuje)">16simplex</a></td> <td><a href="/wiki/Hexadekerakt" title="Hexadekerakt">hexadekerakt</a>, <a href="/w/index.php?title=16ortoplex&action=edit&redlink=1" class="new" title="16ortoplex (stránka neexistuje)">16ortoplex</a> </td></tr> <tr> <td>d=17</td> <td><a href="/w/index.php?title=17simplex&action=edit&redlink=1" class="new" title="17simplex (stránka neexistuje)">17simplex</a></td> <td><a href="/wiki/Heptadekerakt" title="Heptadekerakt">heptadekerakt</a>, <a href="/w/index.php?title=17ortoplex&action=edit&redlink=1" class="new" title="17ortoplex (stránka neexistuje)">17ortoplex</a> </td></tr> <tr> <td>d=18</td> <td><a href="/w/index.php?title=18simplex&action=edit&redlink=1" class="new" title="18simplex (stránka neexistuje)">18simplex</a></td> <td><a href="/wiki/Oktadekerakt" title="Oktadekerakt">oktadekerakt</a>, <a href="/w/index.php?title=18ortoplex&action=edit&redlink=1" class="new" title="18ortoplex (stránka neexistuje)">18ortoplex</a> </td></tr> <tr> <td>d=19</td> <td><a href="/w/index.php?title=19simplex&action=edit&redlink=1" class="new" title="19simplex (stránka neexistuje)">19simplex</a></td> <td><a href="/wiki/Ennedekerakt" title="Ennedekerakt">ennedekerakt</a>, <a href="/w/index.php?title=19ortoplex&action=edit&redlink=1" class="new" title="19ortoplex (stránka neexistuje)">19ortoplex</a> </td></tr> <tr> <td>d=20</td> <td><a href="/w/index.php?title=20simplex&action=edit&redlink=1" class="new" title="20simplex (stránka neexistuje)">20simplex</a></td> <td><a href="/wiki/Ikosarakt" title="Ikosarakt">ikosarakt</a>, <a href="/w/index.php?title=20ortoplex&action=edit&redlink=1" class="new" title="20ortoplex (stránka neexistuje)">20ortoplex</a> </td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Citováno z „<a dir="ltr" href="https://cs.wikipedia.org/w/index.php?title=8simplex&oldid=19671121">https://cs.wikipedia.org/w/index.php?title=8simplex&oldid=19671121</a>“</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/N%C3%A1pov%C4%9Bda:Kategorie" title="Nápověda:Kategorie">Kategorie</a>: <ul><li><a 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