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<div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Meklēt Vikipēdijā" aria-label="Meklēt Vikipēdijā" autocapitalize="sentences" title="Meklēt Vikipēdijā [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Meklēt</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Dalībnieka rīki"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Izskats"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Izskats" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Izskats</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_lv.wikipedia.org&uselang=lv" class=""><span>Ziedojumi</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&returnto=Ikosaedrs" title="Ieteicams izveidot kontu un pieslēgties; tomēr tas nav obligāti." class=""><span>Izveidot jaunu Vikipēdijas kontu</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&returnto=Ikosaedrs" title="Aicinām tevi ieiet Vikipēdijā, tomēr tas nav obligāti. [o]" accesskey="o" class=""><span>Ieiet Vikipēdijā</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="Vairāk iespēju" > <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="Dalībnieka rīki" > <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">Dalībnieka rīki</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Dalībnieka izvēlne" > <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_lv.wikipedia.org&uselang=lv"><span>Ziedojumi</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&returnto=Ikosaedrs" title="Ieteicams izveidot kontu un pieslēgties; tomēr tas nav obligāti."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Izveidot jaunu Vikipēdijas kontu</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=Ikosaedrs" title="Aicinām tevi ieiet Vikipēdijā, tomēr tas nav obligāti. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Ieiet Vikipēdijā</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"> Lapas redaktoriem, kuri nav pieslēgušies <a href="/wiki/Vikip%C4%93dija:Ievads" aria-label="Uzzini vairāk par rediģēšanu"><span>uzzināt vairāk</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="Labojumi, kas veikti no šīs IP adreses [y]" accesskey="y"><span>Devums</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Diskusija par labojumiem, kas izdarīti no šīs IP adreses [n]" accesskey="n"><span>Diskusijas</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="Vietne"> <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="Saturs" 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">Saturs</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">paslēpt</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">Sākums</div> </a> </li> <li id="toc-Izmēri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izmēri"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Izmēri</span> </div> </a> <ul id="toc-Izmēri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Laukums_un_tilpums" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Laukums_un_tilpums"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Laukums un tilpums</span> </div> </a> <ul id="toc-Laukums_un_tilpums-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dekarta_koordinātas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dekarta_koordinātas"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Dekarta koordinātas</span> </div> </a> <ul id="toc-Dekarta_koordinātas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zvaigžņveidīgi_ikosaedri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zvaigžņveidīgi_ikosaedri"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Zvaigžņveidīgi ikosaedri</span> </div> </a> <ul id="toc-Zvaigžņveidīgi_ikosaedri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vēsture" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vēsture"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Vēsture</span> </div> </a> <ul id="toc-Vēsture-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Skatīt_arī" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Skatīt_arī"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Skatīt arī</span> </div> </a> <ul id="toc-Skatīt_arī-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ārējās_saites" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ārējās_saites"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Ārējās saites</span> </div> </a> <ul id="toc-Ārējās_saites-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="Saturs" 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="Pārslēgt satura rādītāju" > <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">Pārslēgt satura rādītāju</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">Ikosaedrs</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="Pāriet uz rakstu citā valodā. Pieejams 49 valodās" > <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 valodas</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 – afrikandu" lang="af" hreflang="af" data-title="Ikosaëder" data-language-autonym="Afrikaans" data-language-local-name="afrikandu" 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 – arābu" lang="ar" hreflang="ar" data-title="عشروني سطوح" data-language-autonym="العربية" data-language-local-name="arābu" 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 – azerbaidžāņu" lang="az" hreflang="az" data-title="İkosaedr" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžāņu" 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 – bulgāru" lang="bg" hreflang="bg" data-title="Икосаедър" data-language-autonym="Български" data-language-local-name="bulgāru" 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 – katalāņu" lang="ca" hreflang="ca" data-title="Icosaedre" data-language-autonym="Català" data-language-local-name="katalāņu" 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 – čehu" lang="cs" hreflang="cs" data-title="Dvacetistěn" data-language-autonym="Čeština" data-language-local-name="čehu" 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 – dāņu" lang="da" hreflang="da" data-title="Ikosaeder" data-language-autonym="Dansk" data-language-local-name="dāņu" 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 – vācu" lang="de" hreflang="de" data-title="Ikosaeder" data-language-autonym="Deutsch" data-language-local-name="vācu" class="interlanguage-link-target"><span>Deutsch</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 – grieķu" lang="el" hreflang="el" data-title="Εικοσάεδρο" data-language-autonym="Ελληνικά" data-language-local-name="grieķu" 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 – angļu" lang="en" hreflang="en" data-title="Icosahedron" data-language-autonym="English" data-language-local-name="angļu" class="interlanguage-link-target"><span>English</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-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Icosaedro" title="Icosaedro – spāņu" lang="es" hreflang="es" data-title="Icosaedro" data-language-autonym="Español" data-language-local-name="spāņu" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ikosaeeder" title="Ikosaeeder – igauņu" lang="et" hreflang="et" data-title="Ikosaeeder" data-language-autonym="Eesti" data-language-local-name="igauņu" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Ikosaedro" title="Ikosaedro – basku" lang="eu" hreflang="eu" data-title="Ikosaedro" data-language-autonym="Euskara" data-language-local-name="basku" 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 – persiešu" lang="fa" hreflang="fa" data-title="بیست‌وجهی" data-language-autonym="فارسی" data-language-local-name="persiešu" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Ikosaedri" title="Ikosaedri – somu" lang="fi" hreflang="fi" data-title="Ikosaedri" data-language-autonym="Suomi" data-language-local-name="somu" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Icosa%C3%A8dre" title="Icosaèdre – franču" lang="fr" hreflang="fr" data-title="Icosaèdre" data-language-autonym="Français" data-language-local-name="franču" 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 – galisiešu" lang="gl" hreflang="gl" data-title="Icosaedro" data-language-autonym="Galego" data-language-local-name="galisiešu" class="interlanguage-link-target"><span>Galego</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 – ivrits" lang="he" hreflang="he" data-title="עשרימון" data-language-autonym="עברית" data-language-local-name="ivrits" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ikosaedar" title="Ikosaedar – horvātu" lang="hr" hreflang="hr" data-title="Ikosaedar" data-language-autonym="Hrvatski" data-language-local-name="horvātu" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ikoza%C3%A9der" title="Ikozaéder – ungāru" lang="hu" hreflang="hu" data-title="Ikozaéder" data-language-autonym="Magyar" data-language-local-name="ungāru" class="interlanguage-link-target"><span>Magyar</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 – armēņu" lang="hy" hreflang="hy" data-title="Քսանանիստ" data-language-autonym="Հայերեն" data-language-local-name="armēņu" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Ikosahedron" title="Ikosahedron – indonēziešu" lang="id" hreflang="id" data-title="Ikosahedron" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonēziešu" class="interlanguage-link-target"><span>Bahasa Indonesia</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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Icosaedro" title="Icosaedro – itāļu" lang="it" hreflang="it" data-title="Icosaedro" data-language-autonym="Italiano" data-language-local-name="itāļu" class="interlanguage-link-target"><span>Italiano</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 – japāņu" lang="ja" hreflang="ja" data-title="二十面体" data-language-autonym="日本語" data-language-local-name="japāņu" class="interlanguage-link-target"><span>日本語</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 – kazahu" lang="kk" hreflang="kk" data-title="Икосаэдр" data-language-autonym="Қазақша" data-language-local-name="kazahu" class="interlanguage-link-target"><span>Қазақша</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 – korejiešu" lang="ko" hreflang="ko" data-title="이십면체" data-language-autonym="한국어" data-language-local-name="korejiešu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Icosahedron" title="Icosahedron – latīņu" lang="la" hreflang="la" data-title="Icosahedron" data-language-autonym="Latina" data-language-local-name="latīņu" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ikosaedras" title="Ikosaedras – lietuviešu" lang="lt" hreflang="lt" data-title="Ikosaedras" data-language-autonym="Lietuvių" data-language-local-name="lietuviešu" class="interlanguage-link-target"><span>Lietuvių</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 – holandiešu" lang="nl" hreflang="nl" data-title="Icosaëder" data-language-autonym="Nederlands" data-language-local-name="holandiešu" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – jaunnorvēģu" lang="nn" hreflang="nn" data-title="Ikosaeder" data-language-autonym="Norsk nynorsk" data-language-local-name="jaunnorvēģu" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – norvēģu bukmols" lang="nb" hreflang="nb" data-title="Ikosaeder" data-language-autonym="Norsk bokmål" data-language-local-name="norvēģu bukmols" 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/Icosaedro" title="Icosaedro – portugāļu" lang="pt" hreflang="pt" data-title="Icosaedro" data-language-autonym="Português" data-language-local-name="portugāļu" 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 – rumāņu" lang="ro" hreflang="ro" data-title="Icosaedru" data-language-autonym="Română" data-language-local-name="rumāņu" class="interlanguage-link-target"><span>Română</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><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 – krievu" lang="ru" hreflang="ru" data-title="Икосаэдр" data-language-autonym="Русский" data-language-local-name="krievu" 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 – sicīliešu" lang="scn" hreflang="scn" data-title="Icosaedru" data-language-autonym="Sicilianu" data-language-local-name="sicīliešu" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Ikosaedar" title="Ikosaedar – serbu–horvātu" lang="sh" hreflang="sh" data-title="Ikosaedar" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbu–horvātu" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Icosahedron" title="Icosahedron – Simple English" lang="en-simple" hreflang="en-simple" data-title="Icosahedron" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Dvadsa%C5%A5sten" title="Dvadsaťsten – slovāku" lang="sk" hreflang="sk" data-title="Dvadsaťsten" data-language-autonym="Slovenčina" data-language-local-name="slovāku" 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 – slovēņu" lang="sl" hreflang="sl" data-title="Ikozaeder" data-language-autonym="Slovenščina" data-language-local-name="slovēņu" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ikosaeder" title="Ikosaeder – zviedru" lang="sv" hreflang="sv" data-title="Ikosaeder" data-language-autonym="Svenska" data-language-local-name="zviedru" class="interlanguage-link-target"><span>Svenska</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 – taju" lang="th" hreflang="th" data-title="ทรงยี่สิบหน้า" data-language-autonym="ไทย" data-language-local-name="taju" class="interlanguage-link-target"><span>ไทย</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 – tatāru" lang="tt" hreflang="tt" data-title="Икосаэдр" data-language-autonym="Татарча / tatarça" data-language-local-name="tatāru" class="interlanguage-link-target"><span>Татарча / tatarça</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 – ukraiņu" lang="uk" hreflang="uk" data-title="Ікосаедр" data-language-autonym="Українська" data-language-local-name="ukraiņu" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ikosaedr" title="Ikosaedr – uzbeku" lang="uz" hreflang="uz" data-title="Ikosaedr" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeku" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</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 – vjetnamiešu" lang="vi" hreflang="vi" data-title="Nhị thập diện" data-language-autonym="Tiếng Việt" data-language-local-name="vjetnamiešu" 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 – ķīniešu" lang="zh" hreflang="zh" data-title="二十面体" data-language-autonym="中文" data-language-local-name="ķīniešu" 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/Q188758#sitelinks-wikipedia" title="Labot starpvalodu saites" class="wbc-editpage">Labot saites</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="Vārdtelpas"> <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/Ikosaedrs" title="Apskatīt rakstu [c]" accesskey="c"><span>Raksts</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Diskusija:Ikosaedrs" rel="discussion" title="Diskusija par šī raksta lapu [t]" accesskey="t"><span>Diskusija</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="Mainīt valodas variantu" > <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">latviešu</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div 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accesskey="g"><span>Ieraksts Vikidatos</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="Lapas rīki"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izskats"> <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">Izskats</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">paslēpt</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">Vikipēdijas lapa</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="lv" dir="ltr"><table class="infobox vcard" style="width:25em; font-size:90%; text-align:left;" cellspacing="5"> <tbody><tr> <th bgcolor="#e7dcc3" colspan="2" align="center"><b>Regulārs</b> Ikosaedrs </th></tr> <tr> <td align="center" colspan="2"><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Icosahedron.svg" class="mw-file-description" title="Ikosaedrs"><img alt="Ikosaedrs" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/240px-Icosahedron.svg.png" decoding="async" width="240" height="231" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/360px-Icosahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/480px-Icosahedron.svg.png 2x" data-file-width="512" data-file-height="492" /></a></span><br /><a href="/wiki/Att%C4%93ls:Icosahedron.gif" title="Attēls:Icosahedron.gif">(Spied šeit, lai aplūkotu rotējošu modeli)</a> </td></tr> <tr> <td bgcolor="#e7dcc3" width="110"><b>Tips</b></td> <td><a href="/w/index.php?title=Platona_daudzskaldnis&action=edit&redlink=1" class="new" title="Platona daudzskaldnis (vēl nav uzrakstīts)">Platona daudzskaldnis</a> </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=Eilera_harakteristika&action=edit&redlink=1" class="new" title="Eilera harakteristika (vēl nav uzrakstīts)">Elementi</a></b></td> <td><i>F</i> = 20, <i>E</i> = 30<br /><i>V</i> = 12 (χ = 2) </td></tr> <tr> <td bgcolor="#e7dcc3"><b>Skaldņu skaits pēc malām</b></td> <td>20{3} </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=%C5%A0l%C4%93fli_simbols&action=edit&redlink=1" class="new" title="Šlēfli simbols (vēl nav uzrakstīts)">Šlēfli simbols</a></b></td> <td>{3,5} and s{3,3} </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=Vithofa_simbols&action=edit&redlink=1" class="new" title="Vithofa simbols (vēl nav uzrakstīts)">Vithofa simbols</a></b></td> <td>5 | 2 3<br />| 3 3 2 </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=Koksetera-Dinkina_diagramma&action=edit&redlink=1" class="new" title="Koksetera-Dinkina diagramma (vēl nav uzrakstīts)">Koksetera-Dinkina diagramma</a></b></td> <td><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_dot.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/fc/CDW_dot.png" decoding="async" width="7" height="20" class="mw-file-element" data-file-width="7" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/2/2b/CDW_5.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_dot.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/fc/CDW_dot.png" decoding="async" width="7" height="20" class="mw-file-element" data-file-width="7" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/de/CDW_3.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_ring.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/52/CDW_ring.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><br /><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_hole.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/1d/CDW_hole.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/de/CDW_3.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_hole.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/1d/CDW_hole.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/de/CDW_3.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_hole.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/1d/CDW_hole.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><br /><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_dot.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/fc/CDW_dot.png" decoding="async" width="7" height="20" class="mw-file-element" data-file-width="7" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/dd/CDW_4.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_hole.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/1d/CDW_hole.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/de/CDW_3.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Att%C4%93ls:CDW_hole.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/1d/CDW_hole.png" decoding="async" width="11" height="20" class="mw-file-element" data-file-width="11" data-file-height="20" /></a></span> </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=Saraksts_ar_sf%C4%93riskaj%C4%81m_simetrijas_grup%C4%81m&action=edit&redlink=1" class="new" title="Saraksts ar sfēriskajām simetrijas grupām (vēl nav uzrakstīts)">Simetrijas</a></b></td> <td><a href="/w/index.php?title=Ikosaedr%C4%81l%C4%81_simetrija&action=edit&redlink=1" class="new" title="Ikosaedrālā simetrija (vēl nav uzrakstīts)">I<sub>h</sub></a> un <a href="/w/index.php?title=Tetraedr%C4%81l%C4%81_simetrija&action=edit&redlink=1" class="new" title="Tetraedrālā simetrija (vēl nav uzrakstīts)">T<sub>d</sub></a><br />vai (*532) un (332) </td></tr> <tr> <td bgcolor="#e7dcc3"><b>Atsauces</b></td> <td><a href="/w/index.php?title=Viendab%C4%ABgs_daudzskaldnis&action=edit&redlink=1" class="new" title="Viendabīgs daudzskaldnis (vēl nav uzrakstīts)">U</a><sub>22</sub>, <a href="/w/index.php?title=Harold_Scott_MacDonald_Coxeter&action=edit&redlink=1" class="new" title="Harold Scott MacDonald Coxeter (vēl nav uzrakstīts)">C</a><sub>25</sub>, <a href="/w/index.php?title=Saraksts_ar_Wenninger_dauskald%C5%86u_mode%C4%BCiem&action=edit&redlink=1" class="new" title="Saraksts ar Wenninger dauskaldņu modeļiem (vēl nav uzrakstīts)">W</a><sub>4</sub> </td></tr> <tr> <td bgcolor="#e7dcc3"><b>Īpašības</b></td> <td><a href="/w/index.php?title=Regul%C4%81rs_daudzskaldnis&action=edit&redlink=1" class="new" title="Regulārs daudzskaldnis (vēl nav uzrakstīts)">Regulārs</a> <a href="/w/index.php?title=Izliekta_kopa&action=edit&redlink=1" class="new" title="Izliekta kopa (vēl nav uzrakstīts)">izliekts</a> <a href="/w/index.php?title=Deltahedron&action=edit&redlink=1" class="new" title="Deltahedron (vēl nav uzrakstīts)">deltahedron</a> </td></tr> <tr> <td bgcolor="#e7dcc3"><b><a href="/w/index.php?title=Divplak%C5%86u_le%C5%86%C4%B7is&action=edit&redlink=1" class="new" title="Divplakņu leņķis (vēl nav uzrakstīts)">Divplakņu leņķis</a></b></td> <td>138.189685° </td></tr> <tr> <td valign="top" align="center"><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Icosahedron_vertfig.png" class="mw-file-description" title="Ikosaedrs"><img alt="Ikosaedrs" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Icosahedron_vertfig.png/120px-Icosahedron_vertfig.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Icosahedron_vertfig.png/180px-Icosahedron_vertfig.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Icosahedron_vertfig.png/240px-Icosahedron_vertfig.png 2x" data-file-width="600" data-file-height="600" /></a></span><br />3.3.3.3.3<br />(<a href="/w/index.php?title=Virsotnes_fig%C5%ABra&action=edit&redlink=1" class="new" title="Virsotnes figūra (vēl nav uzrakstīts)">Virsotnes figūra</a>) </td> <td valign="top" align="center"><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Dodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Dodecahedron.png/120px-Dodecahedron.png" decoding="async" width="120" height="116" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Dodecahedron.png/180px-Dodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/33/Dodecahedron.png/240px-Dodecahedron.png 2x" data-file-width="984" data-file-height="951" /></a></span><br /><a href="/wiki/Dodekaedrs" title="Dodekaedrs">Dodekaedrs</a><br />(<a href="/w/index.php?title=Du%C4%81lais_daudzskaldnis&action=edit&redlink=1" class="new" title="Duālais daudzskaldnis (vēl nav uzrakstīts)">duālais daudzskaldnis</a>) </td></tr> <tr> <td align="center" colspan="2"><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Icosahedron_flat.svg" class="mw-file-description" title="Ikosaedrs"><img alt="Ikosaedrs" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Icosahedron_flat.svg/240px-Icosahedron_flat.svg.png" decoding="async" width="240" height="122" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Icosahedron_flat.svg/360px-Icosahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Icosahedron_flat.svg/480px-Icosahedron_flat.svg.png 2x" data-file-width="236" data-file-height="120" /></a></span><br /><a href="/w/index.php?title=Izkl%C4%81jums&action=edit&redlink=1" class="new" title="Izklājums (vēl nav uzrakstīts)">Izklājums</a> </td></tr></tbody></table> <p><b>Ikosaedrs</b> (<a href="/wiki/Grie%C4%B7u_valoda" title="Grieķu valoda">grieķu</a>: <span lang="el"><i>eikosaedron</i></span>, no <i>eikosi</i> — 'divdesmit' un <i>hedron</i> — 'vietas') jeb <b>divdesmitskaldnis</b> ir regulārs daudzskaldnis, kam ir 20 <a href="/wiki/Skaldne" title="Skaldne">skaldnes</a>, 30 <a href="/wiki/%C5%A0%C4%B7autne" title="Šķautne">šķautnes</a> un 12 <a href="/wiki/Virsotne" title="Virsotne">virsotnes</a>. Katra tā <a href="/wiki/Skaldne" title="Skaldne">skaldne</a> ir regulārs <a href="/wiki/Trijst%C5%ABris" title="Trijstūris">trijstūris</a>, visas šķautnes ir vienāda garuma. Ikosaedrs ir viens no pieciem Platona <a href="/wiki/Daudzskaldnis" title="Daudzskaldnis">daudzskaldņiem</a>. Tā <a href="/w/index.php?title=Du%C4%81lais_daudzskaldnis&action=edit&redlink=1" class="new" title="Duālais daudzskaldnis (vēl nav uzrakstīts)">duālais daudzskaldnis</a> ir <a href="/wiki/Dodekaedrs" title="Dodekaedrs">dodekaedrs</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Izmēri"><span id="Izm.C4.93ri"></span>Izmēri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=1" title="Labot sadaļu: Izmēri" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=1" title="Labot sadaļas vikikodu: Izmēri"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ja regulāra ikosaedra šķautnes garums ir <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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span>, tad apvilktās <a href="/wiki/Sf%C4%93ra" title="Sfēra">sfēras</a> (tās, kura pieskaras visām ikosaedra virsotnēm) <a href="/wiki/R%C4%81diuss" title="Rādiuss">rādiuss</a> ir </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 r_{u}={\frac {a}{2}}{\sqrt {\varphi {\sqrt {5}}}}={\frac {a}{4}}{\sqrt {10+2{\sqrt {5}}}}\approx 0,9510565163\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>φ</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mn>4</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> <mo>≈</mo> <mn>0</mn> <mo>,</mo> <mn>9510565163</mn> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{u}={\frac {a}{2}}{\sqrt {\varphi {\sqrt {5}}}}={\frac {a}{4}}{\sqrt {10+2{\sqrt {5}}}}\approx 0,9510565163\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/912cb16aeda14e62388ebf66a32a8c099db9b217" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:51.07ex; height:5.009ex;" alt="{\displaystyle r_{u}={\frac {a}{2}}{\sqrt {\varphi {\sqrt {5}}}}={\frac {a}{4}}{\sqrt {10+2{\sqrt {5}}}}\approx 0,9510565163\cdot a}"></span></dd></dl> <p>un ievilktās sfēras (<a href="/w/index.php?title=Pieskare&action=edit&redlink=1" class="new" title="Pieskare (vēl nav uzrakstīts)">pieskaras</a> katrai ikosaedra skaldnei) rādiuss ir </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 r_{i}={\frac {\varphi ^{2}a}{2{\sqrt {3}}}}={\frac {\sqrt {3}}{12}}\left(3+{\sqrt {5}}\right)a\approx 0,7557613141\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>φ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>a</mi> </mrow> <mrow> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>12</mn> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mn>3</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mi>a</mi> <mo>≈</mo> <mn>0</mn> <mo>,</mo> <mn>7557613141</mn> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{i}={\frac {\varphi ^{2}a}{2{\sqrt {3}}}}={\frac {\sqrt {3}}{12}}\left(3+{\sqrt {5}}\right)a\approx 0,7557613141\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea2234cbc004b1f614f6376e0d8edfefcbdb09d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:48.14ex; height:6.843ex;" alt="{\displaystyle r_{i}={\frac {\varphi ^{2}a}{2{\sqrt {3}}}}={\frac {\sqrt {3}}{12}}\left(3+{\sqrt {5}}\right)a\approx 0,7557613141\cdot a}"></span>,</dd></dl> <p>un viduslīniju sfēras rādiuss, kura pieskaras katras šķautnes viduspunktam, ir </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 r_{m}={\frac {a\varphi }{2}}={\frac {1}{4}}\left(1+{\sqrt {5}}\right)a\approx 0,80901699\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>φ</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mi>a</mi> <mo>≈</mo> <mn>0</mn> <mo>,</mo> <mn>80901699</mn> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r_{m}={\frac {a\varphi }{2}}={\frac {1}{4}}\left(1+{\sqrt {5}}\right)a\approx 0,80901699\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e3b4ab19865d32561358d01d260006ce74db1c8a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:43.244ex; height:5.176ex;" alt="{\displaystyle r_{m}={\frac {a\varphi }{2}}={\frac {1}{4}}\left(1+{\sqrt {5}}\right)a\approx 0,80901699\cdot a}"></span>,</dd></dl> <p>kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varphi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>φ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varphi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.52ex; height:2.176ex;" alt="{\displaystyle \varphi }"></span> (tiek apzīmēts arī ar <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 \tau }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>τ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tau }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38a7dcde9730ef0853809fefc18d88771f95206c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.202ex; height:1.676ex;" alt="{\displaystyle \tau }"></span>) ir <a href="/wiki/Zelta_griezums" title="Zelta griezums">zelta griezums</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Laukums_un_tilpums">Laukums un tilpums</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=2" title="Labot sadaļu: Laukums un tilpums" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=2" title="Labot sadaļas vikikodu: Laukums un tilpums"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Regulāra ikosaedra ar šķautnes garumu <i>a</i> <a href="/w/index.php?title=Virsmas_laukums&action=edit&redlink=1" class="new" title="Virsmas laukums (vēl nav uzrakstīts)">virsmas laukums</a> <i>A</i> un <a href="/wiki/Tilpums" title="Tilpums">tilpums</a> <i>V</i> ir: </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 A=5{\sqrt {3}}a^{2}\approx 8,66025404a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mn>5</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> <mo>≈</mo> <mn>8</mn> <mo>,</mo> <mn>66025404</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=5{\sqrt {3}}a^{2}\approx 8,66025404a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42bf31e7c44ce26eb9dfb6af38666cae49d520b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:28.265ex; height:3.009ex;" alt="{\displaystyle A=5{\sqrt {3}}a^{2}\approx 8,66025404a^{2}}"></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 V={\frac {5}{12}}(3+{\sqrt {5}})a^{3}\approx 2,18169499a^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>5</mn> <mn>12</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> <mo stretchy="false">)</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>≈</mo> <mn>2</mn> <mo>,</mo> <mn>18169499</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {5}{12}}(3+{\sqrt {5}})a^{3}\approx 2,18169499a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26fde50c223048f2b1d323d19a17bd0d8713a371" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:36.12ex; height:5.176ex;" alt="{\displaystyle V={\frac {5}{12}}(3+{\sqrt {5}})a^{3}\approx 2,18169499a^{3}}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Dekarta_koordinātas"><span id="Dekarta_koordin.C4.81tas"></span>Dekarta koordinātas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=3" title="Labot sadaļu: Dekarta koordinātas" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=3" title="Labot sadaļas vikikodu: Dekarta koordinātas"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Icosahedron-golden-rectangles.svg" class="mw-file-description" title="Zelta taisnstūri ikosaedrā"><img alt="Zelta taisnstūri ikosaedrā" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Icosahedron-golden-rectangles.svg/200px-Icosahedron-golden-rectangles.svg.png" decoding="async" width="200" height="185" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Icosahedron-golden-rectangles.svg/300px-Icosahedron-golden-rectangles.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Icosahedron-golden-rectangles.svg/400px-Icosahedron-golden-rectangles.svg.png 2x" data-file-width="500" data-file-height="463" /></a></span><br /> Sekojošas <a href="/w/index.php?title=Dekarta_koordin%C4%81tas&action=edit&redlink=1" class="new" title="Dekarta koordinātas (vēl nav uzrakstīts)">Dekarta koordinātas</a> uzrāda ikosaedra ar šķautnes garumu 2 virsotnes attiecībā pret centru: </p> <dl><dd>(0, ±1, ±φ)</dd> <dd>(±1, ±φ, 0)</dd> <dd>(±φ, 0, ±1)</dd></dl> <p>kur φ = (1+√5)/2 ir <a href="/wiki/Zelta_griezums" title="Zelta griezums">zelta griezums</a> (tiek apzīmēts arī ar τ). </p><p>Regulāra <a href="/wiki/Oktaedrs" title="Oktaedrs">oktaedra</a> 12 šķautnes var sadalīt ar zelta šķēlumu tā, ka rezultātā iegūtās virsotnes veido regulāru ikosaedru. </p> <div class="mw-heading mw-heading2"><h2 id="Zvaigžņveidīgi_ikosaedri"><span id="Zvaig.C5.BE.C5.86veid.C4.ABgi_ikosaedri"></span>Zvaigžņveidīgi ikosaedri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=4" title="Labot sadaļu: Zvaigžņveidīgi ikosaedri" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=4" title="Labot sadaļas vikikodu: Zvaigžņveidīgi ikosaedri"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pavisam eksistē 59 zvaigžņveidīgo ikosaedru veidi. Lūk dažu veidu attēli: </p><p><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:First_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/First_stellation_of_icosahedron.png/60px-First_stellation_of_icosahedron.png" decoding="async" width="60" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/First_stellation_of_icosahedron.png/90px-First_stellation_of_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/de/First_stellation_of_icosahedron.png/120px-First_stellation_of_icosahedron.png 2x" data-file-width="920" data-file-height="900" /></a></span> <span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Sixteenth_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sixteenth_stellation_of_icosahedron.png/60px-Sixteenth_stellation_of_icosahedron.png" decoding="async" width="60" height="57" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sixteenth_stellation_of_icosahedron.png/90px-Sixteenth_stellation_of_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Sixteenth_stellation_of_icosahedron.png/120px-Sixteenth_stellation_of_icosahedron.png 2x" data-file-width="940" data-file-height="900" /></a></span> <span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Seventeenth_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Seventeenth_stellation_of_icosahedron.png/60px-Seventeenth_stellation_of_icosahedron.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Seventeenth_stellation_of_icosahedron.png/90px-Seventeenth_stellation_of_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/07/Seventeenth_stellation_of_icosahedron.png/120px-Seventeenth_stellation_of_icosahedron.png 2x" data-file-width="909" data-file-height="910" /></a></span> <span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Second_compound_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Second_compound_stellation_of_icosahedron.png/60px-Second_compound_stellation_of_icosahedron.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Second_compound_stellation_of_icosahedron.png/90px-Second_compound_stellation_of_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Second_compound_stellation_of_icosahedron.png/120px-Second_compound_stellation_of_icosahedron.png 2x" data-file-width="900" data-file-height="900" /></a></span> <span typeof="mw:File"><a href="/wiki/Att%C4%93ls:Third_compound_stellation_of_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Third_compound_stellation_of_icosahedron.png/60px-Third_compound_stellation_of_icosahedron.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Third_compound_stellation_of_icosahedron.png/90px-Third_compound_stellation_of_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Third_compound_stellation_of_icosahedron.png/120px-Third_compound_stellation_of_icosahedron.png 2x" data-file-width="899" data-file-height="899" /></a></span> </p> <div class="mw-heading mw-heading2"><h2 id="Vēsture"><span id="V.C4.93sture"></span>Vēsture</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=5" title="Labot sadaļu: Vēsture" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=5" title="Labot sadaļas vikikodu: Vēsture"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ikosaedrs grieķiem simbolizēja <a href="/wiki/%C5%AAdens" title="Ūdens">ūdeni</a>. Iespējams, tādēļ, ka viņi pamanīja, ka ikosaedrs viegli veļas, tāpat kā plūstošs ūdens. </p> <div class="mw-heading mw-heading2"><h2 id="Skatīt_arī"><span id="Skat.C4.ABt_ar.C4.AB"></span>Skatīt arī</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=6" title="Labot sadaļu: Skatīt arī" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=6" title="Labot sadaļas vikikodu: Skatīt arī"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Dodekaedrs" title="Dodekaedrs">Dodekaedrs</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Ārējās_saites"><span id=".C4.80r.C4.93j.C4.81s_saites"></span>Ārējās saites</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ikosaedrs&veaction=edit&section=7" title="Labot sadaļu: Ārējās saites" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ikosaedrs&action=edit&section=7" title="Labot sadaļas vikikodu: Ārējās saites"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="citation mathworld" id="Reference-Mathworld-Icosahedron">Eric W. Weisstein, <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Icosahedron.html">Icosahedron</a>, MathWorld.</span></li></ul> <table class="metadata plainlinks stub" role="presentation" style="background:transparent"><tbody><tr><td><span typeof="mw:File"><a href="/wiki/Att%C4%93ls:E-to-the-i-pi.svg" class="mw-file-description"><img alt="Aizmetņa ikona" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/34px-E-to-the-i-pi.svg.png" decoding="async" width="34" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/51px-E-to-the-i-pi.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/68px-E-to-the-i-pi.svg.png 2x" data-file-width="512" data-file-height="453" /></a></span></td><td><i>Šis ar <a href="/wiki/Matem%C4%81tika" title="Matemātika">matemātiku</a> saistītais raksts ir <a href="/wiki/Vikip%C4%93dija:Aizmetnis" title="Vikipēdija:Aizmetnis">nepilnīgs</a>. Jūs varat <a href="/wiki/Pal%C4%ABdz%C4%ABba:Redi%C4%A3%C4%93%C5%A1ana,_noform%C4%93%C5%A1ana" title="Palīdzība:Rediģēšana, noformēšana">dot savu ieguldījumu</a> Vikipēdijā, <a class="external text" href="https://lv.wikipedia.org/w/index.php?title=Ikosaedrs&action=edit">papildinot to</a>.</i><div class="plainlinks hlist navbar mini" style="position: absolute; right: 15px; display: none;"><ul><li class="nv-skatīt"><a href="/wiki/Veidne:Matem%C4%81tika-aizmetnis" title="Veidne:Matemātika-aizmetnis"><abbr title="Skatīt šo veidni" style=";">s</abbr></a></li><li class="nv-diskusija"><a href="/w/index.php?title=Veidnes_diskusija:Matem%C4%81tika-aizmetnis&action=edit&redlink=1" class="new" title="Veidnes diskusija:Matemātika-aizmetnis (vēl nav uzrakstīts)"><abbr title="Diskusija par šo veidni" style="color:#002bb8;;">d</abbr></a></li><li class="nv-labot"><a class="external text" href="https://lv.wikipedia.org/w/index.php?title=Veidne:Matem%C4%81tika-aizmetnis&action=edit"><abbr title="Labot šo veidni" style=";">l</abbr></a></li></ul></div></td></tr></tbody></table> <table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="row" class="navbox-group"><a href="/wiki/Autoritat%C4%ABv%C4%81_vad%C4%ABba" title="Autoritatīvā vadība">Autoritatīvā vadība</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px;"><div style="padding:0em 0.25em;"> <ul><li><a rel="nofollow" class="external text" href="//www.worldcat.org/identities/lccn-sh85-064098">WorldCat</a></li> <li><a href="/wiki/Kongresa_bibliot%C4%93ka" title="Kongresa bibliotēka">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://id.loc.gov/authorities/names/sh85064098">sh85064098</a></span></li> <li>GND: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4161254-1">4161254-1</a></span></li></ul> </div></td></tr></tbody></table></td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Saturs iegūts no "<a dir="ltr" href="https://lv.wikipedia.org/w/index.php?title=Ikosaedrs&oldid=2925020">https://lv.wikipedia.org/w/index.php?title=Ikosaedrs&oldid=2925020</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Kategorijas</a>: <ul><li><a href="/wiki/Kategorija:Nepabeigti_raksti_par_matem%C4%81tiku" title="Kategorija:Nepabeigti raksti par matemātiku">Nepabeigti raksti par matemātiku</a></li><li><a href="/wiki/Kategorija:Platona_daudzskald%C5%86i" title="Kategorija:Platona daudzskaldņi">Platona daudzskaldņi</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Slēpta kategorija: <ul><li><a href="/wiki/Kategorija:Visi_Vikip%C4%93dijas_aizmet%C5%86i" title="Kategorija:Visi Vikipēdijas aizmetņi">Visi Vikipēdijas aizmetņi</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Šī lapa pēdējoreiz labota: 2018. gada 31. augusts plkst. 10.19.</li> <li id="footer-info-copyright">Teksts ir pieejams saskaņā ar <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike licenci</a>; var pastāvēt papildu ierobežojumi. 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