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</li> </ul> </li> <li id="toc-Stellated_icosahedra" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Stellated_icosahedra"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Stellated icosahedra</span> </div> </a> <ul id="toc-Stellated_icosahedra-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Icosahedron</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 49 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-49" 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">49 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Ikosa%C3%ABder" title="Ikosaëder – Afrikaans" lang="af" hreflang="af" data-title="Ikosaëder" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%B4%D8%B1%D9%88%D9%86%D9%8A_%D8%B3%D8%B7%D9%88%D8%AD" title="عشروني سطوح – Arabic" lang="ar" hreflang="ar" data-title="عشروني سطوح" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C4%B0kosaedr" title="İkosaedr – Azerbaijani" lang="az" hreflang="az" data-title="İkosaedr" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Икосаедър – Bulgarian" lang="bg" hreflang="bg" data-title="Икосаедър" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Icosaedre" title="Icosaedre – Catalan" lang="ca" hreflang="ca" data-title="Icosaedre" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Dvacetist%C4%9Bn" title="Dvacetistěn – Czech" lang="cs" hreflang="cs" data-title="Dvacetistěn" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – Danish" lang="da" hreflang="da" data-title="Ikosaeder" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – German" lang="de" hreflang="de" data-title="Ikosaeder" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ikosaeeder" title="Ikosaeeder – Estonian" lang="et" hreflang="et" data-title="Ikosaeeder" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CE%B9%CE%BA%CE%BF%CF%83%CE%AC%CE%B5%CE%B4%CF%81%CE%BF" title="Εικοσάεδρο – Greek" lang="el" hreflang="el" data-title="Εικοσάεδρο" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Icosahedron" title="Icosahedron – English" lang="en" hreflang="en" data-title="Icosahedron" data-language-autonym="English" data-language-local-name="English" 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/Icosaedro" title="Icosaedro – Spanish" lang="es" hreflang="es" data-title="Icosaedro" data-language-autonym="Español" data-language-local-name="Spanish" 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/Dudekedro" title="Dudekedro – Esperanto" lang="eo" hreflang="eo" data-title="Dudekedro" 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/Ikosaedro" title="Ikosaedro – Basque" lang="eu" hreflang="eu" data-title="Ikosaedro" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%DB%8C%D8%B3%D8%AA%E2%80%8C%D9%88%D8%AC%D9%87%DB%8C" title="بیست‌وجهی – Persian" lang="fa" hreflang="fa" data-title="بیست‌وجهی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Icosa%C3%A8dre" title="Icosaèdre – French" lang="fr" hreflang="fr" data-title="Icosaèdre" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Icosaedro" title="Icosaedro – Galician" lang="gl" hreflang="gl" data-title="Icosaedro" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%EC%8B%AD%EB%A9%B4%EC%B2%B4" title="이십면체 – Korean" lang="ko" hreflang="ko" data-title="이십면체" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%94%D5%BD%D5%A1%D5%B6%D5%A1%D5%B6%D5%AB%D5%BD%D5%BF" title="Քսանանիստ – Armenian" lang="hy" hreflang="hy" data-title="Քսանանիստ" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ikosaedar" title="Ikosaedar – Croatian" lang="hr" hreflang="hr" data-title="Ikosaedar" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Ikosaedro" title="Ikosaedro – Ido" lang="io" hreflang="io" data-title="Ikosaedro" 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/Ikosahedron" title="Ikosahedron – Indonesian" lang="id" hreflang="id" data-title="Ikosahedron" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" 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/Icosaedro" title="Icosaedro – Italian" lang="it" hreflang="it" data-title="Icosaedro" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he badge-Q70894304 mw-list-item" title=""><a href="https://he.wikipedia.org/wiki/%D7%A2%D7%A9%D7%A8%D7%99%D7%9E%D7%95%D7%9F" title="עשרימון – Hebrew" lang="he" hreflang="he" data-title="עשרימון" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D1%8D%D0%B4%D1%80" title="Икосаэдр – Kazakh" lang="kk" hreflang="kk" data-title="Икосаэдр" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Icosahedron" title="Icosahedron – Latin" lang="la" hreflang="la" data-title="Icosahedron" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Ikosaedrs" title="Ikosaedrs – Latvian" lang="lv" hreflang="lv" data-title="Ikosaedrs" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ikosaedras" title="Ikosaedras – Lithuanian" lang="lt" hreflang="lt" data-title="Ikosaedras" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ikoza%C3%A9der" title="Ikozaéder – Hungarian" lang="hu" hreflang="hu" data-title="Ikozaéder" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl badge-Q70894304 mw-list-item" title=""><a href="https://nl.wikipedia.org/wiki/Icosa%C3%ABder" title="Icosaëder – Dutch" lang="nl" hreflang="nl" data-title="Icosaëder" data-language-autonym="Nederlands" data-language-local-name="Dutch" 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/%E4%BA%8C%E5%8D%81%E9%9D%A2%E4%BD%93" title="二十面体 – Japanese" lang="ja" hreflang="ja" data-title="二十面体" data-language-autonym="日本語" data-language-local-name="Japanese" 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/Ikosaeder" title="Ikosaeder – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Ikosaeder" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Ikosaeder" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ikosaedr" title="Ikosaedr – Uzbek" lang="uz" hreflang="uz" data-title="Ikosaedr" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Icosaedro" title="Icosaedro – Portuguese" lang="pt" hreflang="pt" data-title="Icosaedro" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Icosaedru" title="Icosaedru – Romanian" lang="ro" hreflang="ro" data-title="Icosaedru" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D1%8D%D0%B4%D1%80" title="Икосаэдр – Russian" lang="ru" hreflang="ru" data-title="Икосаэдр" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Icosaedru" title="Icosaedru – Sicilian" lang="scn" hreflang="scn" data-title="Icosaedru" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Dvadsa%C5%A5sten" title="Dvadsaťsten – Slovak" lang="sk" hreflang="sk" data-title="Dvadsaťsten" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Ikozaeder" title="Ikozaeder – Slovenian" lang="sl" hreflang="sl" data-title="Ikozaeder" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Ikosaedar" title="Ikosaedar – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Ikosaedar" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Ikosaedri" title="Ikosaedri – Finnish" lang="fi" hreflang="fi" data-title="Ikosaedri" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – Swedish" lang="sv" hreflang="sv" data-title="Ikosaeder" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D1%8D%D0%B4%D1%80" title="Икосаэдр – Tatar" lang="tt" hreflang="tt" data-title="Икосаэдр" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%97%E0%B8%A3%E0%B8%87%E0%B8%A2%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B4%E0%B8%9A%E0%B8%AB%E0%B8%99%E0%B9%89%E0%B8%B2" title="ทรงยี่สิบหน้า – Thai" lang="th" hreflang="th" data-title="ทรงยี่สิบหน้า" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%86%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%80" title="Ікосаедр – Ukrainian" lang="uk" hreflang="uk" data-title="Ікосаедр" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Nh%E1%BB%8B_th%E1%BA%ADp_di%E1%BB%87n" title="Nhị thập diện – Vietnamese" lang="vi" hreflang="vi" data-title="Nhị thập diện" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8C%E5%8D%81%E9%9D%A2%E4%BD%93" title="二十面体 – Chinese" lang="zh" hreflang="zh" data-title="二十面体" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-rsk mw-list-item"><a href="https://rsk.wikipedia.org/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D0%B5%D1%80" title="Икосаедер – Pannonian Rusyn" lang="rsk" hreflang="rsk" data-title="Икосаедер" data-language-autonym="Руски" data-language-local-name="Pannonian Rusyn" class="interlanguage-link-target"><span>Руски</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/Q188758#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Change links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon 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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Ikosaeder-Animation.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/8/80/Ikosaeder-Animation.gif" decoding="async" width="102" height="100" class="mw-file-element" data-file-width="102" data-file-height="100" /></a><figcaption>Icosahedron</figcaption></figure> <p>An <b>icosahedron</b> is a <a href="/wiki/Polyhedron" title="Polyhedron">polyhedron</a> (a <a href="/wiki/Three_dimensional" class="mw-redirect" title="Three dimensional">three dimensional</a> shape) that is made of <a href="/wiki/Triangle" title="Triangle">triangles</a> and has twenty sides. </p><p>There are many kinds of icosahedra, with some being more symmetrical than others. The best known is the <b>regular icosahedron</b>, a <a href="/wiki/Platonic_solid" title="Platonic solid">Platonic solid</a> made of <a href="/wiki/Equilateral_triangle" title="Equilateral triangle">equilateral triangles</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Regular_icosahedra">Regular icosahedra</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Icosahedron&veaction=edit&section=1" title="Change section: Regular icosahedra" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Icosahedron&action=edit&section=1" title="Edit section's source code: Regular icosahedra"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" align="right"> <caption>Two kinds of regular icosahedra </caption> <tbody><tr align="center"> <td><span typeof="mw:File"><a href="/wiki/File:Icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Icosahedron.png/150px-Icosahedron.png" decoding="async" width="150" height="157" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Icosahedron.png/225px-Icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Icosahedron.png/300px-Icosahedron.png 2x" data-file-width="911" data-file-height="952" /></a></span><br />Convex regular icosahedron </td> <td><span typeof="mw:File"><a href="/wiki/File:Great_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Great_icosahedron.png/150px-Great_icosahedron.png" decoding="async" width="150" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Great_icosahedron.png/225px-Great_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Great_icosahedron.png/300px-Great_icosahedron.png 2x" data-file-width="1830" data-file-height="1954" /></a></span><br /><a href="/w/index.php?title=Great_icosahedron&action=edit&redlink=1" class="new" title="Great icosahedron (not yet started)">Great icosahedron</a> </td></tr></tbody></table> <p>There are two objects, one convex and one concave, that can both be called regular icosahedra. Each has 30 edges and 20 <a href="/wiki/Equilateral_triangle" title="Equilateral triangle">equilateral triangle</a> faces with five meeting at each of its twelve <a href="/wiki/Vertices" class="mw-redirect" title="Vertices">vertices</a>. Both have the same symmetry so that their vertices are at similar places. The term "regular icosahedron" usually refers to the convex icosahedron, while the nonconvex form is called a <i>great icosahedron</i>. </p> <div class="mw-heading mw-heading3"><h3 id="Convex_regular_icosahedron">Convex regular icosahedron</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Icosahedron&veaction=edit&section=2" title="Change section: Convex regular icosahedron" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Icosahedron&action=edit&section=2" title="Edit section's source code: Convex regular icosahedron"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The convex regular icosahedron is usually simply called the <i>regular icosahedron</i>. It is one of the five regular <a href="/wiki/Platonic_solid" title="Platonic solid">Platonic solids</a>, and it is represented by its <a href="/wiki/Schl%C3%A4fli_symbol" class="mw-redirect" title="Schläfli symbol">Schläfli symbol</a> {3, 5}, containing 20 triangular faces, with 5 faces meeting around each vertex. </p><p>Its <a href="/wiki/Dual_polyhedron" title="Dual polyhedron">dual polyhedron</a> is the regular <a href="/wiki/Dodecahedron" title="Dodecahedron">dodecahedron</a> {5, 3} which has three regular pentagonal faces around each vertex. </p> <div class="mw-heading mw-heading3"><h3 id="Great_icosahedron">Great icosahedron</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Icosahedron&veaction=edit&section=3" title="Change section: Great icosahedron" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Icosahedron&action=edit&section=3" title="Edit section's source code: Great icosahedron"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r9671799">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">See the main article: <a href="/w/index.php?title=Great_icosahedron&action=edit&redlink=1" class="new" title="Great icosahedron (not yet started)">Great icosahedron</a></div> <p>The <a href="/w/index.php?title=Great_icosahedron&action=edit&redlink=1" class="new" title="Great icosahedron (not yet started)">great icosahedron</a> is one of the four regular star <a href="/w/index.php?title=Kepler-Poinsot_polyhedra&action=edit&redlink=1" class="new" title="Kepler-Poinsot polyhedra (not yet started)">Kepler-Poinsot polyhedra</a>. Its <a href="/wiki/Schl%C3%A4fli_symbol" class="mw-redirect" title="Schläfli symbol">Schläfli symbol</a> is <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,{\frac {5}{2}}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <mn>3</mn> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>5</mn> <mn>2</mn> </mfrac> </mrow> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{3,{\frac {5}{2}}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2ece647cc8bdfec7a1eb5abdd10c18d0a05a1ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.52ex; height:5.176ex;" alt="{\displaystyle \{3,{\frac {5}{2}}\}}"></span>. Like the convex form, it also has 20 equilateral triangle faces, but its vertex figure is a <a href="/wiki/Pentagram" title="Pentagram">pentagram</a> rather than a pentagon, leading to geometrically intersecting faces. The intersections of the triangles do not represent new edges. </p><p>Its <a href="/wiki/Dual_polyhedron" title="Dual polyhedron">dual polyhedron</a> is the <a href="/w/index.php?title=Great_stellated_dodecahedron&action=edit&redlink=1" class="new" title="Great stellated dodecahedron (not yet started)">great stellated dodecahedron</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {5}{2}},3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>5</mn> <mn>2</mn> </mfrac> </mrow> <mo>,</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {5}{2}},3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aac233f8e2f4eab17d4a1d42e20f5744c5ad14d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.195ex; height:5.176ex;" alt="{\displaystyle {\frac {5}{2}},3}"></span>), having three regular star pentagonal faces around each vertex. </p> <div class="mw-heading mw-heading2"><h2 id="Stellated_icosahedra">Stellated icosahedra</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Icosahedron&veaction=edit&section=4" title="Change section: Stellated icosahedra" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Icosahedron&action=edit&section=4" title="Edit section's source code: Stellated icosahedra"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=Stellation&action=edit&redlink=1" class="new" title="Stellation (not yet started)">Stellation</a> is the process of extending the faces or edges of a polyhedron until they meet to form a new polyhedron. It is done symmetrically so that the resulting figure retains the overall symmetry of the parent figure. </p><p>In their book <i><a href="/w/index.php?title=The_Fifty-Nine_Icosahedra&action=edit&redlink=1" class="new" title="The Fifty-Nine Icosahedra (not yet started)">The Fifty-Nine Icosahedra</a></i>, Coxeter et al. enumerated 58 such stellations of the regular icosahedron. </p><p>Of these, many have a single face in each of the 20 face planes and so are also icosahedra. The great icosahedron is among them. </p><p>Other stellations have more than one face in each plane or form compounds of simpler polyhedra. These are not strictly icosahedra, although they are often referred to as such. </p> <table class="wikitable" width="600" style="margin: 1em auto 1em auto"> <tbody><tr> <td colspan="10" style="text-align:center;"><b>Notable <a href="/w/index.php?title=The_Fifty-Nine_Icosahedra&action=edit&redlink=1" class="new" title="The Fifty-Nine Icosahedra (not yet started)">stellations of the icosahedron</a></b> </td></tr> <tr style="text-align:center;"> <td><a href="/wiki/Platonic_solid" title="Platonic solid">Regular</a> </td> <td colspan="3"><a href="/w/index.php?title=Dual_uniform_polyhedron&action=edit&redlink=1" class="new" title="Dual uniform polyhedron (not yet started)">Uniform duals</a> </td> <td colspan="3"><a href="/w/index.php?title=Compound_polyhedron&action=edit&redlink=1" class="new" title="Compound polyhedron (not yet started)">Regular compounds</a> </td> <td><a href="/w/index.php?title=Kepler%E2%80%93Poinsot_polyhedron&action=edit&redlink=1" class="new" title="Kepler–Poinsot polyhedron (not yet started)">Regular star</a> </td> <td colspan="2">Others </td></tr> <tr style="text-align:center;"> <th><a href="/w/index.php?title=Regular_icosahedron&action=edit&redlink=1" class="new" title="Regular icosahedron (not yet started)">(Convex) icosahedron</a> </th> <th><a href="/w/index.php?title=Small_triambic_icosahedron&action=edit&redlink=1" class="new" title="Small triambic icosahedron (not yet started)">Small triambic icosahedron</a> </th> <th><a href="/w/index.php?title=Medial_triambic_icosahedron&action=edit&redlink=1" class="new" title="Medial triambic icosahedron (not yet started)">Medial triambic icosahedron</a> </th> <th><a href="/w/index.php?title=Great_triambic_icosahedron&action=edit&redlink=1" class="new" title="Great triambic icosahedron (not yet started)">Great triambic icosahedron</a> </th> <th><a href="/w/index.php?title=Compound_of_five_octahedra&action=edit&redlink=1" class="new" title="Compound of five octahedra (not yet started)">Compound of five octahedra</a> </th> <th><a href="/w/index.php?title=Compound_of_five_tetrahedra&action=edit&redlink=1" class="new" title="Compound of five tetrahedra (not yet started)">Compound of five tetrahedra</a> </th> <th><a href="/w/index.php?title=Compound_of_ten_tetrahedra&action=edit&redlink=1" class="new" title="Compound of ten tetrahedra (not yet started)">Compound of ten tetrahedra</a> </th> <th><a href="/w/index.php?title=Great_icosahedron&action=edit&redlink=1" class="new" title="Great icosahedron (not yet started)">Great icosahedron</a> </th> <th><a href="/w/index.php?title=Excavated_dodecahedron&action=edit&redlink=1" class="new" title="Excavated dodecahedron (not yet started)">Excavated dodecahedron</a> </th> <th><a href="/wiki/Final_stellation_of_the_icosahedron" class="mw-redirect" title="Final stellation of the icosahedron">Final stellation</a> </th></tr> <tr style="text-align:center;"> <td><span typeof="mw:File"><a href="/wiki/File:Zeroth_stellation_of_icosahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/100px-Zeroth_stellation_of_icosahedron.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/150px-Zeroth_stellation_of_icosahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/200px-Zeroth_stellation_of_icosahedron.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:First_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/First_stellation_of_icosahedron.png/100px-First_stellation_of_icosahedron.png" decoding="async" width="100" height="98" class="mw-file-element" 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href="/wiki/File:First_compound_stellation_of_icosahedron_facets.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/First_compound_stellation_of_icosahedron_facets.png/100px-First_compound_stellation_of_icosahedron_facets.png" decoding="async" width="100" height="101" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/First_compound_stellation_of_icosahedron_facets.png/150px-First_compound_stellation_of_icosahedron_facets.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/First_compound_stellation_of_icosahedron_facets.png/200px-First_compound_stellation_of_icosahedron_facets.png 2x" data-file-width="900" data-file-height="909" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Second_compound_stellation_of_icosahedron_facets.png" class="mw-file-description"><img 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class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Third_compound_stellation_of_icosahedron_facets.png/150px-Third_compound_stellation_of_icosahedron_facets.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Third_compound_stellation_of_icosahedron_facets.png/200px-Third_compound_stellation_of_icosahedron_facets.png 2x" data-file-width="900" data-file-height="901" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Sixteenth_stellation_of_icosahedron_facets.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Sixteenth_stellation_of_icosahedron_facets.png/100px-Sixteenth_stellation_of_icosahedron_facets.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Sixteenth_stellation_of_icosahedron_facets.png/150px-Sixteenth_stellation_of_icosahedron_facets.png 1.5x, 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href="/wiki/File:Seventeenth_stellation_of_icosahedron_facets.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Seventeenth_stellation_of_icosahedron_facets.png/100px-Seventeenth_stellation_of_icosahedron_facets.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Seventeenth_stellation_of_icosahedron_facets.png/150px-Seventeenth_stellation_of_icosahedron_facets.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Seventeenth_stellation_of_icosahedron_facets.png/200px-Seventeenth_stellation_of_icosahedron_facets.png 2x" data-file-width="901" data-file-height="899" /></a></span> </td></tr> <tr style="text-align:center;"> <td colspan="10">The stellation process on the icosahedron creates a number of related <a href="/wiki/Polyhedron" title="Polyhedron">polyhedra</a> and <a href="/w/index.php?title=Compound_polyhedron&action=edit&redlink=1" class="new" title="Compound polyhedron (not yet started)">compounds</a> with <a href="/w/index.php?title=Icosahedral_symmetry&action=edit&redlink=1" class="new" title="Icosahedral symmetry (not yet started)">icosahedral symmetry</a>. </td></tr></tbody></table> <p><br /> </p> <div class="boilerplate metadata plainlinks" id="stub"><span typeof="mw:File"><a href="/wiki/File:Xy_icon.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Xy_icon.svg/30px-Xy_icon.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Xy_icon.svg/45px-Xy_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Xy_icon.svg/60px-Xy_icon.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> <i>This <a href="/wiki/Wikipedia:Stub" title="Wikipedia:Stub">short article</a> about <a href="/wiki/Category:Math_stubs" title="Category:Math stubs">mathematics</a> can be made 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src="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Parallelogram.svg/90px-Parallelogram.svg.png" decoding="async" width="90" height="62" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Parallelogram.svg/135px-Parallelogram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/41/Parallelogram.svg/180px-Parallelogram.svg.png 2x" data-file-width="255" data-file-height="175" /></a></span><br /><a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a> </td> <td rowspan="4"> </td> <td><span typeof="mw:File"><a href="/wiki/File:Trapezoid.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/90px-Trapezoid.svg.png" decoding="async" width="90" height="53" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/135px-Trapezoid.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Trapezoid.svg/180px-Trapezoid.svg.png 2x" data-file-width="292" data-file-height="172" /></a></span><br /><a href="/wiki/Trapezoid" title="Trapezoid">trapezoid</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Geometri_rektangel.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Geometri_rektangel.png/90px-Geometri_rektangel.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/0/04/Geometri_rektangel.png 1.5x" data-file-width="100" data-file-height="100" /></a></span><br /><a href="/wiki/Rectangle" title="Rectangle">rectangle</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Pentagon.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Pentagon.svg/90px-Pentagon.svg.png" decoding="async" width="90" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Pentagon.svg/135px-Pentagon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/04/Pentagon.svg/180px-Pentagon.svg.png 2x" data-file-width="588" data-file-height="560" /></a></span><br /><a href="/wiki/Pentagon" title="Pentagon">pentagon</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Heptadecagon.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Heptadecagon.svg/90px-Heptadecagon.svg.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Heptadecagon.svg/135px-Heptadecagon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Heptadecagon.svg/180px-Heptadecagon.svg.png 2x" data-file-width="744" data-file-height="744" /></a></span><br /><a href="/wiki/Heptadecagon" title="Heptadecagon">heptadecagon</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Irregular_octagon.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Irregular_octagon.svg/90px-Irregular_octagon.svg.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Irregular_octagon.svg/135px-Irregular_octagon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Irregular_octagon.svg/180px-Irregular_octagon.svg.png 2x" data-file-width="392" data-file-height="392" /></a></span><br /><a href="/wiki/Polygon" title="Polygon">polygon</a> </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Hexahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Hexahedron.svg/90px-Hexahedron.svg.png" decoding="async" width="90" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Hexahedron.svg/135px-Hexahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Hexahedron.svg/180px-Hexahedron.svg.png 2x" data-file-width="540" data-file-height="600" /></a></span><br /><a href="/wiki/Cube" title="Cube">cube</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Geometri_parallellepiped.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Geometri_parallellepiped.png/90px-Geometri_parallellepiped.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Geometri_parallellepiped.png/135px-Geometri_parallellepiped.png 1.5x, //upload.wikimedia.org/wikipedia/commons/b/b1/Geometri_parallellepiped.png 2x" data-file-width="140" data-file-height="140" /></a></span><br /><a href="/wiki/Parallelepiped" title="Parallelepiped">parallelepiped</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Geometri_r%C3%A4tblock.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Geometri_r%C3%A4tblock.png/90px-Geometri_r%C3%A4tblock.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Geometri_r%C3%A4tblock.png/135px-Geometri_r%C3%A4tblock.png 1.5x, //upload.wikimedia.org/wikipedia/commons/9/92/Geometri_r%C3%A4tblock.png 2x" data-file-width="140" data-file-height="140" /></a></span><br /><a href="/wiki/Cuboid" title="Cuboid">cuboid</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Geometri_kon.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Geometri_kon.png/90px-Geometri_kon.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Geometri_kon.png/135px-Geometri_kon.png 1.5x, //upload.wikimedia.org/wikipedia/commons/9/96/Geometri_kon.png 2x" data-file-width="140" data-file-height="140" /></a></span><br /><a href="/wiki/Cone" title="Cone">cone</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Geometri_cylinder.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Geometri_cylinder.png/80px-Geometri_cylinder.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Geometri_cylinder.png/120px-Geometri_cylinder.png 1.5x, //upload.wikimedia.org/wikipedia/commons/6/64/Geometri_cylinder.png 2x" data-file-width="140" data-file-height="140" /></a></span><br /><a href="/wiki/Cylinder" title="Cylinder">cylinder</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Sphere.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Sphere.png/90px-Sphere.png" decoding="async" width="90" height="87" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Sphere.png/135px-Sphere.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Sphere.png/180px-Sphere.png 2x" data-file-width="400" data-file-height="385" /></a></span><br /><a href="/wiki/Sphere" title="Sphere">sphere</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Ellipsoid_tri-axial_abc.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Ellipsoid_tri-axial_abc.svg/90px-Ellipsoid_tri-axial_abc.svg.png" decoding="async" width="90" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Ellipsoid_tri-axial_abc.svg/135px-Ellipsoid_tri-axial_abc.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/50/Ellipsoid_tri-axial_abc.svg/180px-Ellipsoid_tri-axial_abc.svg.png 2x" data-file-width="327" data-file-height="286" /></a></span><br /><a href="/wiki/Ellipsoid" title="Ellipsoid">ellipsoid</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Heptagonal_pyramid1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Heptagonal_pyramid1.png/80px-Heptagonal_pyramid1.png" decoding="async" width="80" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Heptagonal_pyramid1.png/120px-Heptagonal_pyramid1.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Heptagonal_pyramid1.png/160px-Heptagonal_pyramid1.png 2x" data-file-width="606" data-file-height="485" /></a></span><br /><a href="/wiki/Pyramid_(geometry)" title="Pyramid (geometry)">pyramid</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Pentagonal_prism.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Pentagonal_prism.png/80px-Pentagonal_prism.png" decoding="async" width="80" height="75" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Pentagonal_prism.png/120px-Pentagonal_prism.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Pentagonal_prism.png/160px-Pentagonal_prism.png 2x" data-file-width="967" data-file-height="903" /></a></span><br /><a href="/wiki/Prism_(geometry)" title="Prism (geometry)">prism</a> </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Tetrahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/80px-Tetrahedron.svg.png" decoding="async" width="80" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/120px-Tetrahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/160px-Tetrahedron.svg.png 2x" data-file-width="570" data-file-height="540" /></a></span><br /><a href="/wiki/Tetrahedron" title="Tetrahedron">tetrahedron</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Octahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/80px-Octahedron.svg.png" decoding="async" width="80" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/120px-Octahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/160px-Octahedron.svg.png 2x" data-file-width="840" data-file-height="832" /></a></span><br /><a href="/wiki/Octahedron" title="Octahedron">octahedron</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Torus.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/80px-Torus.png" decoding="async" width="80" height="51" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/120px-Torus.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/160px-Torus.png 2x" data-file-width="784" data-file-height="502" /></a></span><br /><a href="/wiki/Torus" title="Torus">torus</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Dodecahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/80px-Dodecahedron.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/120px-Dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/160px-Dodecahedron.svg.png 2x" data-file-width="300" data-file-height="300" /></a></span><br /><a href="/wiki/Dodecahedron" title="Dodecahedron">dodecahedron</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Icosahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/80px-Icosahedron.svg.png" decoding="async" width="80" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/120px-Icosahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/160px-Icosahedron.svg.png 2x" data-file-width="512" data-file-height="492" /></a></span><br /><a class="mw-selflink selflink">icosahedron</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Pentagonal_frustum.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Pentagonal_frustum.svg/80px-Pentagonal_frustum.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Pentagonal_frustum.svg/120px-Pentagonal_frustum.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Pentagonal_frustum.svg/160px-Pentagonal_frustum.svg.png 2x" data-file-width="500" data-file-height="500" /></a></span><br /><a href="/wiki/Frustum" title="Frustum">frustum</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Antiprism17.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Antiprism17.jpg/100px-Antiprism17.jpg" decoding="async" width="100" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Antiprism17.jpg/150px-Antiprism17.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Antiprism17.jpg/200px-Antiprism17.jpg 2x" data-file-width="877" data-file-height="527" /></a></span><br /><a href="/wiki/Antiprism" title="Antiprism">antiprism</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Pentagonale_bipiramide.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Pentagonale_bipiramide.png/60px-Pentagonale_bipiramide.png" decoding="async" width="60" height="75" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Pentagonale_bipiramide.png/90px-Pentagonale_bipiramide.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Pentagonale_bipiramide.png/120px-Pentagonale_bipiramide.png 2x" data-file-width="717" data-file-height="893" /></a></span><br /><a href="/w/index.php?title=Bipyramid&action=edit&redlink=1" class="new" title="Bipyramid (not yet started)">bipyramid</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombohedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Rhombohedron.png/100px-Rhombohedron.png" decoding="async" width="100" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Rhombohedron.png/150px-Rhombohedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Rhombohedron.png/200px-Rhombohedron.png 2x" data-file-width="624" data-file-height="399" /></a></span><br /><a href="/w/index.php?title=Rhombohedron&action=edit&redlink=1" class="new" title="Rhombohedron (not yet started)">rhombohedron</a> </td> <td> </td></tr></tbody></table> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" 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