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href="/wiki/%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Уикипедия" src="/static/images/mobile/copyright/wikipedia-wordmark-bg.svg" style="width: 7.5em; height: 1.3125em;"> <img class="mw-logo-tagline" alt="Свободната енциклопедия" src="/static/images/mobile/copyright/wikipedia-tagline-bg.svg" width="120" height="12" style="width: 7.5em; height: 0.75em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A2%D1%8A%D1%80%D1%81%D0%B5%D0%BD%D0%B5" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Претърсване на Уикипедия [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Търсене</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Търсене в Уикипедия" aria-label="Търсене в Уикипедия" autocapitalize="sentences" title="Претърсване на Уикипедия [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Специални:Търсене"> </div> <button class="cdx-button cdx-search-input__end-button">Търсене</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Лични инструменти"> <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="Облик"> <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="Облик" > <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">Облик</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_bg.wikipedia.org&uselang=bg" class=""><span>Направете дарение</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=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A1%D1%8A%D0%B7%D0%B4%D0%B0%D0%B2%D0%B0%D0%BD%D0%B5_%D0%BD%D0%B0_%D1%81%D0%BC%D0%B5%D1%82%D0%BA%D0%B0&returnto=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Насърчаваме Ви да си създадете сметка и да влезете, въпреки че не е задължително." class=""><span>Създаване на сметка</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=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A0%D0%B5%D0%B3%D0%B8%D1%81%D1%82%D1%80%D0%B8%D1%80%D0%B0%D0%BD%D0%B5_%D0%B8%D0%BB%D0%B8_%D0%B2%D0%BB%D0%B8%D0%B7%D0%B0%D0%BD%D0%B5&returnto=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Препоръчваме Ви да влезете, въпреки, че не е задължително. [o]" accesskey="o" class=""><span>Влизане</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="Допълнителни опции" > <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="Лични инструменти" > <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">Лични инструменти</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Потребителско меню" > <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_bg.wikipedia.org&uselang=bg"><span>Направете дарение</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A1%D1%8A%D0%B7%D0%B4%D0%B0%D0%B2%D0%B0%D0%BD%D0%B5_%D0%BD%D0%B0_%D1%81%D0%BC%D0%B5%D1%82%D0%BA%D0%B0&returnto=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Насърчаваме Ви да си създадете сметка и да влезете, въпреки че не е задължително."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Създаване на сметка</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%A0%D0%B5%D0%B3%D0%B8%D1%81%D1%82%D1%80%D0%B8%D1%80%D0%B0%D0%BD%D0%B5_%D0%B8%D0%BB%D0%B8_%D0%B2%D0%BB%D0%B8%D0%B7%D0%B0%D0%BD%D0%B5&returnto=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Препоръчваме Ви да влезете, въпреки, че не е задължително. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Влизане</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"> Страници за излезли от системата редактори <a href="/wiki/%D0%9F%D0%BE%D0%BC%D0%BE%D1%89:%D0%92%D1%8A%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5" aria-label="Научете повече за редактирането"><span>научете повече</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/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9C%D0%BE%D0%B8%D1%82%D0%B5_%D0%BF%D1%80%D0%B8%D0%BD%D0%BE%D1%81%D0%B8" title="Списък на промените, направени от този IP адрес [y]" accesskey="y"><span>Приноси</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9C%D0%BE%D1%8F%D1%82%D0%B0_%D0%B1%D0%B5%D1%81%D0%B5%D0%B4%D0%B0" title="Дискусия относно редакциите от този адрес [n]" accesskey="n"><span>Беседа</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="Сайт"> <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="Съдържание" 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">Съдържание</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">преместване към страничната лента</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">скриване</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">Начало</div> </a> </li> <li id="toc-Правилен_икосаедър" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Правилен_икосаедър"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Правилен икосаедър</span> </div> </a> <ul id="toc-Правилен_икосаедър-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-История" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#История"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>История</span> </div> </a> <ul id="toc-История-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Джонсонови_тела_с_20_стени" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Джонсонови_тела_с_20_стени"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Джонсонови тела с 20 стени</span> </div> </a> <ul id="toc-Джонсонови_тела_с_20_стени-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Звездовидни_икосаедри[3]" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Звездовидни_икосаедри[3]"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Звездовидни икосаедри<sup><span>[</span>3<span>]</span></sup></span> </div> </a> <ul id="toc-Звездовидни_икосаедри[3]-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Източници" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Източници"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Източници</span> </div> </a> <ul id="toc-Източници-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="Съдържание" 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="Скриване/показване на съдържанието" > <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">Скриване/показване на съдържанието</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">Икосаедър</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="Към статията на друг език. Налична на 49 езика" > <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 езика</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 – африканс" lang="af" hreflang="af" data-title="Ikosaëder" data-language-autonym="Afrikaans" data-language-local-name="африканс" 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 – арабски" lang="ar" hreflang="ar" data-title="عشروني سطوح" data-language-autonym="العربية" data-language-local-name="арабски" 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 – азербайджански" lang="az" hreflang="az" data-title="İkosaedr" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджански" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Icosaedre" title="Icosaedre – каталонски" lang="ca" hreflang="ca" data-title="Icosaedre" data-language-autonym="Català" data-language-local-name="каталонски" 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 – чешки" lang="cs" hreflang="cs" data-title="Dvacetistěn" data-language-autonym="Čeština" data-language-local-name="чешки" 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 – датски" lang="da" hreflang="da" data-title="Ikosaeder" data-language-autonym="Dansk" data-language-local-name="датски" 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 – немски" lang="de" hreflang="de" data-title="Ikosaeder" data-language-autonym="Deutsch" data-language-local-name="немски" 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 – гръцки" lang="el" hreflang="el" data-title="Εικοσάεδρο" data-language-autonym="Ελληνικά" data-language-local-name="гръцки" 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 – английски" lang="en" hreflang="en" data-title="Icosahedron" data-language-autonym="English" data-language-local-name="английски" 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 – есперанто" lang="eo" hreflang="eo" data-title="Dudekedro" data-language-autonym="Esperanto" data-language-local-name="есперанто" 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 – испански" lang="es" hreflang="es" data-title="Icosaedro" data-language-autonym="Español" data-language-local-name="испански" 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 – естонски" lang="et" hreflang="et" data-title="Ikosaeeder" data-language-autonym="Eesti" data-language-local-name="естонски" 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 – баски" lang="eu" hreflang="eu" data-title="Ikosaedro" data-language-autonym="Euskara" data-language-local-name="баски" 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 – персийски" lang="fa" hreflang="fa" data-title="بیست‌وجهی" data-language-autonym="فارسی" data-language-local-name="персийски" 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 – фински" lang="fi" hreflang="fi" data-title="Ikosaedri" data-language-autonym="Suomi" data-language-local-name="фински" 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 – френски" lang="fr" hreflang="fr" data-title="Icosaèdre" data-language-autonym="Français" data-language-local-name="френски" 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 – галисийски" lang="gl" hreflang="gl" data-title="Icosaedro" data-language-autonym="Galego" data-language-local-name="галисийски" 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 – иврит" lang="he" hreflang="he" data-title="עשרימון" data-language-autonym="עברית" data-language-local-name="иврит" 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 – хърватски" lang="hr" hreflang="hr" data-title="Ikosaedar" data-language-autonym="Hrvatski" data-language-local-name="хърватски" 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 – унгарски" lang="hu" hreflang="hu" data-title="Ikozaéder" data-language-autonym="Magyar" data-language-local-name="унгарски" 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 – арменски" lang="hy" hreflang="hy" data-title="Քսանանիստ" data-language-autonym="Հայերեն" data-language-local-name="арменски" 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 – индонезийски" lang="id" hreflang="id" data-title="Ikosahedron" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийски" 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 – идо" lang="io" hreflang="io" data-title="Ikosaedro" data-language-autonym="Ido" data-language-local-name="идо" 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 – италиански" lang="it" hreflang="it" data-title="Icosaedro" data-language-autonym="Italiano" data-language-local-name="италиански" 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 – японски" lang="ja" hreflang="ja" data-title="二十面体" data-language-autonym="日本語" data-language-local-name="японски" 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 – казахски" lang="kk" hreflang="kk" data-title="Икосаэдр" data-language-autonym="Қазақша" data-language-local-name="казахски" 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 – корейски" lang="ko" hreflang="ko" data-title="이십면체" data-language-autonym="한국어" data-language-local-name="корейски" 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 – латински" lang="la" hreflang="la" data-title="Icosahedron" data-language-autonym="Latina" data-language-local-name="латински" 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 – литовски" lang="lt" hreflang="lt" data-title="Ikosaedras" data-language-autonym="Lietuvių" data-language-local-name="литовски" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Ikosaedrs" title="Ikosaedrs – латвийски" lang="lv" hreflang="lv" data-title="Ikosaedrs" data-language-autonym="Latviešu" data-language-local-name="латвийски" class="interlanguage-link-target"><span>Latviešu</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 – нидерландски" lang="nl" hreflang="nl" data-title="Icosaëder" data-language-autonym="Nederlands" data-language-local-name="нидерландски" 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 – норвежки (нюношк)" lang="nn" hreflang="nn" data-title="Ikosaeder" data-language-autonym="Norsk nynorsk" data-language-local-name="норвежки (нюношк)" 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 – норвежки (букмол)" lang="nb" hreflang="nb" data-title="Ikosaeder" data-language-autonym="Norsk bokmål" data-language-local-name="норвежки (букмол)" 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 – португалски" lang="pt" hreflang="pt" data-title="Icosaedro" data-language-autonym="Português" data-language-local-name="португалски" 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 – румънски" lang="ro" hreflang="ro" data-title="Icosaedru" data-language-autonym="Română" data-language-local-name="румънски" 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 – руски" lang="ru" hreflang="ru" data-title="Икосаэдр" data-language-autonym="Русский" data-language-local-name="руски" 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 – сицилиански" lang="scn" hreflang="scn" data-title="Icosaedru" data-language-autonym="Sicilianu" data-language-local-name="сицилиански" 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 – сърбохърватски" lang="sh" hreflang="sh" data-title="Ikosaedar" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сърбохърватски" 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 – словашки" lang="sk" hreflang="sk" data-title="Dvadsaťsten" data-language-autonym="Slovenčina" data-language-local-name="словашки" 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 – словенски" lang="sl" hreflang="sl" data-title="Ikozaeder" data-language-autonym="Slovenščina" data-language-local-name="словенски" 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 – шведски" lang="sv" hreflang="sv" data-title="Ikosaeder" data-language-autonym="Svenska" data-language-local-name="шведски" 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 – тайски" lang="th" hreflang="th" data-title="ทรงยี่สิบหน้า" data-language-autonym="ไทย" data-language-local-name="тайски" 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 – татарски" lang="tt" hreflang="tt" data-title="Икосаэдр" data-language-autonym="Татарча / tatarça" data-language-local-name="татарски" 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 – украински" lang="uk" hreflang="uk" data-title="Ікосаедр" data-language-autonym="Українська" data-language-local-name="украински" 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 – узбекски" lang="uz" hreflang="uz" data-title="Ikosaedr" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекски" 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 – виетнамски" lang="vi" hreflang="vi" data-title="Nhị thập diện" data-language-autonym="Tiếng Việt" data-language-local-name="виетнамски" 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 – китайски" lang="zh" hreflang="zh" data-title="二十面体" data-language-autonym="中文" data-language-local-name="китайски" 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="Редактиране на междуезиковите препратки" class="wbc-editpage">Редактиране</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="Именни пространства"> <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/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Преглед на основната страница [c]" accesskey="c"><span>Статия</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%91%D0%B5%D1%81%D0%B5%D0%B4%D0%B0:%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&redlink=1" rel="discussion" class="new" title="Беседа за страницата (страницата не съществува) [t]" accesskey="t"><span>Беседа</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="Промяна на езиковия вариант" > <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">български</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Прегледи"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80"><span>Преглед</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit" title="Редактиране на страницата [v]" accesskey="v"><span>Редактиране</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit" title="Редактиране на изходния код на страницата [e]" accesskey="e"><span>Редактиране на кода</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=history" title="Предишни версии на страницата [h]" accesskey="h"><span>История</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Инструменти" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Инструменти</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Инструменти</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">преместване към страничната лента</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">скриване</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Допълнителни опции" > <div class="vector-menu-heading"> Действия </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80"><span>Преглед</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit" title="Редактиране на страницата [v]" accesskey="v"><span>Редактиране</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit" title="Редактиране на изходния код на страницата [e]" accesskey="e"><span>Редактиране на кода</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=history"><span>История</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Основни </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8:%D0%9A%D0%B0%D0%BA%D0%B2%D0%BE_%D1%81%D0%BE%D1%87%D0%B8_%D0%BD%D0%B0%D1%81%D0%B0%D0%BC/%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Списък на всички страници, сочещи насам [j]" 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wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Icosahedron" hreflang="en"><span>Общомедия</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q188758" title="Препратка към свързания обект от хранилището за данни [g]" accesskey="g"><span>Обект в Уикиданни</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Облик"> <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">Облик</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">преместване към страничната лента</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">скриване</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">от Уикипедия, свободната енциклопедия</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="bg" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Icosahedron.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e2/Icosahedron.gif/220px-Icosahedron.gif" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/e/e2/Icosahedron.gif 1.5x" data-file-width="256" data-file-height="256" /></a><figcaption>Правилен икосаедър</figcaption></figure> <p><b>Икосаедърът</b> (на <a href="/wiki/%D0%A1%D1%82%D0%B0%D1%80%D0%BE%D0%B3%D1%80%D1%8A%D1%86%D0%BA%D0%B8_%D0%B5%D0%B7%D0%B8%D0%BA" title="Старогръцки език">старогръцки</a>: <span lang="grc" dir="ltr" style="font-style:italic">εἴκοσι</span> - 20 и на <a href="/wiki/%D0%A1%D1%82%D0%B0%D1%80%D0%BE%D0%B3%D1%80%D1%8A%D1%86%D0%BA%D0%B8_%D0%B5%D0%B7%D0%B8%D0%BA" title="Старогръцки език">старогръцки</a>: <span lang="grc" dir="ltr" style="font-style:italic">ἕδρον</span> – основа) е геометрическо тяло с двадесет стени, т.е. „двадесетостен“. Правилният икосаедър е <a href="/wiki/%D0%9F%D0%BB%D0%B0%D1%82%D0%BE%D0%BD%D0%BE%D0%B2%D0%BE_%D1%82%D1%8F%D0%BB%D0%BE" title="Платоново тяло">платоново тяло</a> и <a href="/wiki/%D0%94%D0%B5%D0%BB%D1%82%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Делтаедър">делтаедър</a>: той има 20 триъгълни стени, 12 върха и 30 ръба. Дуалният многостен е <a href="/wiki/%D0%94%D0%BE%D0%B4%D0%B5%D0%BA%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" class="mw-redirect" title="Додекаедър">додекаедър</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Правилен_икосаедър"><span id=".D0.9F.D1.80.D0.B0.D0.B2.D0.B8.D0.BB.D0.B5.D0.BD_.D0.B8.D0.BA.D0.BE.D1.81.D0.B0.D0.B5.D0.B4.D1.8A.D1.80"></span>Правилен икосаедър</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit&section=1" title="Редактиране на раздел: Правилен икосаедър" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&section=1" title="Edit section's source code: Правилен икосаедър"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>При дължина на ръба <i>a</i>, <a href="/wiki/%D0%9F%D0%BB%D0%BE%D1%89" title="Площ">площта</a> <i>S</i>, <a href="/wiki/%D0%9E%D0%B1%D0%B5%D0%BC" title="Обем">обемът</a> <i>V</i>, <a href="/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D1%83%D1%81" title="Радиус">радиусите</a> на вписаната и описаната <a href="/wiki/%D0%A1%D1%84%D0%B5%D1%80%D0%B0" title="Сфера">сфери</a>, съответно <i>r</i> и <i>R</i>, се дават с формулите: </p><p>площ: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=5a^{2}{\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mn>5</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=5a^{2}{\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b7f93731ae5ef9f4a990206d687a30a13d0c50b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.143ex; height:3.009ex;" alt="{\displaystyle S=5a^{2}{\sqrt {3}}}"></span> </p><p>обем: <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={\begin{matrix}{5 \over 12}\end{matrix}}(3+{\sqrt {5}})a^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>5</mn> <mn>12</mn> </mfrac> </mrow> </mtd> </mtr> </mtable> </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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\begin{matrix}{5 \over 12}\end{matrix}}(3+{\sqrt {5}})a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1eee310ee8872072b0e1750e03fd64d14462be2b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.986ex; margin-bottom: -0.185ex; width:19.312ex; height:3.509ex;" alt="{\displaystyle V={\begin{matrix}{5 \over 12}\end{matrix}}(3+{\sqrt {5}})a^{3}}"></span> </p><p>радиус на вписаната сфера: <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={\begin{matrix}{1 \over {4{\sqrt {3}}}}\end{matrix}}(3+{\sqrt {5}})a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </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> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\begin{matrix}{1 \over {4{\sqrt {3}}}}\end{matrix}}(3+{\sqrt {5}})a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13921fa384dbfee9f4f4ef01744720959aa332d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:18.888ex; height:4.176ex;" alt="{\displaystyle r={\begin{matrix}{1 \over {4{\sqrt {3}}}}\end{matrix}}(3+{\sqrt {5}})a}"></span> </p><p>радиус на описаната сфера: <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={\begin{matrix}{1 \over 4}\end{matrix}}{\sqrt {2(5+{\sqrt {5}})}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mtd> </mtr> </mtable> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo stretchy="false">(</mo> <mn>5</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> <mo stretchy="false">)</mo> </msqrt> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R={\begin{matrix}{1 \over 4}\end{matrix}}{\sqrt {2(5+{\sqrt {5}})}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a6416641438d6266e2b697fe143c6dc284115db" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:20.899ex; height:4.843ex;" alt="{\displaystyle R={\begin{matrix}{1 \over 4}\end{matrix}}{\sqrt {2(5+{\sqrt {5}})}}a}"></span> </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Icosa%C3%A8dre_cube.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Icosa%C3%A8dre_cube.jpg/180px-Icosa%C3%A8dre_cube.jpg" decoding="async" width="180" height="202" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Icosa%C3%A8dre_cube.jpg/270px-Icosa%C3%A8dre_cube.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Icosa%C3%A8dre_cube.jpg/360px-Icosa%C3%A8dre_cube.jpg 2x" data-file-width="1958" data-file-height="2197" /></a><figcaption>Икосаедър вписан в куб</figcaption></figure> <p>Икосаедър може да се впише в куб, така че всичките му върхове, общо 6 двойки, да лежат върху шестте стени. При това могат лесно да се съобразят стойностите за техните координати: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\pm \varphi ,\pm 1,0)\,,\quad (\pm 1,0,\pm \varphi )\quad {\text{,}}\quad (0,\pm \varphi ,\pm 1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>±</mo> <mi>φ</mi> <mo>,</mo> <mo>±</mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="1em" /> <mo stretchy="false">(</mo> <mo>±</mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mo>±</mo> <mi>φ</mi> <mo stretchy="false">)</mo> <mspace width="1em" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>,</mtext> </mrow> <mspace width="1em" /> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mo>±</mo> <mi>φ</mi> <mo>,</mo> <mo>±</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\pm \varphi ,\pm 1,0)\,,\quad (\pm 1,0,\pm \varphi )\quad {\text{,}}\quad (0,\pm \varphi ,\pm 1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5168cffb28ca0ecee9146721802d2ef78962782e" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:43.051ex; height:2.843ex;" alt="{\displaystyle (\pm \varphi ,\pm 1,0)\,,\quad (\pm 1,0,\pm \varphi )\quad {\text{,}}\quad (0,\pm \varphi ,\pm 1)}"></span> </p><p>като φ означава стойността на <a href="/wiki/%D0%97%D0%BB%D0%B0%D1%82%D0%BD%D0%BE_%D1%81%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D0%B5" title="Златно сечение">златното сечение</a>, т.е. (1+√5)/2, а дължината на ръбовете е приета за 2. </p> <div class="mw-heading mw-heading2"><h2 id="История"><span id=".D0.98.D1.81.D1.82.D0.BE.D1.80.D0.B8.D1.8F"></span>История</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit&section=2" title="Редактиране на раздел: История" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&section=2" title="Edit section's source code: История"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Традиционно откритието или изобретяването на икосаедъра се приписва на древногръцкия математик Теетет. Основание за това дава първото пояснение (схолия) към кн. 13 на 'Елементи'. Автентичността на текста в това място обаче подлежи на съмнение<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>. Спекулира се дали по-рано икосаедърът не е бил известен в древен Египет. За разлика от додекаедъра, който се разпознава в минерални образувания, икосаедърът не е имал естествен първообраз. Вируси и микроорганизми имат икосаедрична (или <a href="/w/index.php?title=%D0%9F%D1%81%D0%B5%D0%B2%D0%B4%D0%BE%D0%B8%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&redlink=1" class="new" title="Псевдоикосаедър (страницата не съществува)">псевдоикосаедрична</a>) форма, също както атомни клъстери на елемента бор, но те са ненаблюдаеми с невъоръжено око. </p> <div class="mw-heading mw-heading2"><h2 id="Джонсонови_тела_с_20_стени"><span id=".D0.94.D0.B6.D0.BE.D0.BD.D1.81.D0.BE.D0.BD.D0.BE.D0.B2.D0.B8_.D1.82.D0.B5.D0.BB.D0.B0_.D1.81_20_.D1.81.D1.82.D0.B5.D0.BD.D0.B8"></span><a href="/wiki/%D0%94%D0%B6%D0%BE%D0%BD%D1%81%D0%BE%D0%BD%D0%BE%D0%B2%D0%BE_%D1%82%D1%8F%D0%BB%D0%BE" title="Джонсоново тяло">Джонсонови тела</a> с 20 стени</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit&section=3" title="Редактиране на раздел: Джонсонови тела с 20 стени" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&section=3" title="Edit section's source code: Джонсонови тела с 20 стени"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Шест от Джонсоновите тела са неправилни икосаедри:<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <table class="wikitable" width="720"> <tbody><tr> <th>J22 </th> <th>J35 </th> <th>J36 </th> <th>J59 </th> <th>J60 </th> <th>J92 </th></tr> <tr align="center" valign="top"> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Gyroelongated_triangular_cupola.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Gyroelongated_triangular_cupola.png/120px-Gyroelongated_triangular_cupola.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Gyroelongated_triangular_cupola.png/180px-Gyroelongated_triangular_cupola.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Gyroelongated_triangular_cupola.png/240px-Gyroelongated_triangular_cupola.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Жироудължен триъгълен купол </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Elongated_triangular_orthobicupola.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Elongated_triangular_orthobicupola.png/120px-Elongated_triangular_orthobicupola.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Elongated_triangular_orthobicupola.png/180px-Elongated_triangular_orthobicupola.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Elongated_triangular_orthobicupola.png/240px-Elongated_triangular_orthobicupola.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Удължен триъгълен ортобикупол ] </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Elongated_triangular_gyrobicupola.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Elongated_triangular_gyrobicupola.png/120px-Elongated_triangular_gyrobicupola.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Elongated_triangular_gyrobicupola.png/180px-Elongated_triangular_gyrobicupola.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Elongated_triangular_gyrobicupola.png/240px-Elongated_triangular_gyrobicupola.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Удължен триъгълен жиробикупол </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Parabiaugmented_dodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Parabiaugmented_dodecahedron.png/120px-Parabiaugmented_dodecahedron.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Parabiaugmented_dodecahedron.png/180px-Parabiaugmented_dodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/44/Parabiaugmented_dodecahedron.png/240px-Parabiaugmented_dodecahedron.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Парабинадстроен додекаедър </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Metabiaugmented_dodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Metabiaugmented_dodecahedron.png/120px-Metabiaugmented_dodecahedron.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Metabiaugmented_dodecahedron.png/180px-Metabiaugmented_dodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Metabiaugmented_dodecahedron.png/240px-Metabiaugmented_dodecahedron.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Метабинадстроен додекаедър </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Triangular_hebesphenorotunda.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Triangular_hebesphenorotunda.png/120px-Triangular_hebesphenorotunda.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Triangular_hebesphenorotunda.png/180px-Triangular_hebesphenorotunda.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/Triangular_hebesphenorotunda.png/240px-Triangular_hebesphenorotunda.png 2x" data-file-width="512" data-file-height="512" /></a></span><br />Триъгълна хебесфероротонда </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_22_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Johnson_solid_22_net.png/120px-Johnson_solid_22_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Johnson_solid_22_net.png/180px-Johnson_solid_22_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Johnson_solid_22_net.png/240px-Johnson_solid_22_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_35_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Johnson_solid_35_net.png/120px-Johnson_solid_35_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Johnson_solid_35_net.png/180px-Johnson_solid_35_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Johnson_solid_35_net.png/240px-Johnson_solid_35_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_36_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Johnson_solid_36_net.png/120px-Johnson_solid_36_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Johnson_solid_36_net.png/180px-Johnson_solid_36_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Johnson_solid_36_net.png/240px-Johnson_solid_36_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_59_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Johnson_solid_59_net.png/120px-Johnson_solid_59_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Johnson_solid_59_net.png/180px-Johnson_solid_59_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Johnson_solid_59_net.png/240px-Johnson_solid_59_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_60_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Johnson_solid_60_net.png/120px-Johnson_solid_60_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Johnson_solid_60_net.png/180px-Johnson_solid_60_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/58/Johnson_solid_60_net.png/240px-Johnson_solid_60_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Johnson_solid_92_net.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Johnson_solid_92_net.png/120px-Johnson_solid_92_net.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Johnson_solid_92_net.png/180px-Johnson_solid_92_net.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Johnson_solid_92_net.png/240px-Johnson_solid_92_net.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td></tr> <tr align="center" valign="top"> <td>16 триъгълника<br />3 квадрата<br /> <br />1 шестоъгълник </td> <td>8 триъгълника<br />12 квадрата </td> <td>8 триъгълника<br />12 квадрата </td> <td>10 триъгълника<br /> <br />10 петоъгълника </td> <td>10 триъгълника<br /> <br />10 петоъгълника </td> <td>13 триъгълника<br />3 квадрата<br />3 петоъгълника<br />1 шестоъгълник </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Звездовидни_икосаедри[3]"><span id=".D0.97.D0.B2.D0.B5.D0.B7.D0.B4.D0.BE.D0.B2.D0.B8.D0.B4.D0.BD.D0.B8_.D0.B8.D0.BA.D0.BE.D1.81.D0.B0.D0.B5.D0.B4.D1.80.D0.B8.5B3.5D"></span>Звездовидни икосаедри<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit&section=4" title="Редактиране на раздел: Звездовидни икосаедри[3]" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&section=4" title="Edit section's source code: Звездовидни икосаедри[3]"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Icosahedron_stellation_diagram_center.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Icosahedron_stellation_diagram_center.png/220px-Icosahedron_stellation_diagram_center.png" decoding="async" width="220" height="201" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Icosahedron_stellation_diagram_center.png/330px-Icosahedron_stellation_diagram_center.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Icosahedron_stellation_diagram_center.png/440px-Icosahedron_stellation_diagram_center.png 2x" data-file-width="478" data-file-height="437" /></a><figcaption>Тринадесет стелации на икосаедъра</figcaption></figure> <ul><li><a href="/w/index.php?title=%D0%9C%D0%B0%D0%BB%D1%8A%D0%BA_%D1%82%D1%80%D0%B8%D0%B0%D0%BC%D0%B1%D0%B8%D1%87%D0%B5%D0%BD_%D0%B8%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&redlink=1" class="new" title="Малък триамбичен икосаедър (страницата не съществува)">малък триамбичен икосаедър</a> (1)</li> <li><a href="/w/index.php?title=%D0%A1%D1%8A%D0%B5%D0%B4%D0%B8%D0%BD%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BE%D1%82_%D0%BF%D0%B5%D1%82_%D0%BE%D0%BA%D1%82%D0%B0%D0%B5%D0%B4%D1%8A%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Съединение от пет октаедъра (страницата не съществува)">съединение от пет октаедъра</a> (2)</li> <li><a href="/w/index.php?title=%D0%A1%D1%8A%D0%B5%D0%B4%D0%B8%D0%BD%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BE%D1%82_%D0%BF%D0%B5%D1%82_%D1%82%D0%B5%D1%82%D1%80%D0%B0%D0%B5%D0%B4%D1%8A%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Съединение от пет тетраедъра (страницата не съществува)">съединение от пет тетраедъра</a> (12)</li> <li><a href="/w/index.php?title=%D0%A1%D1%8A%D0%B5%D0%B4%D0%B8%D0%BD%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BE%D1%82_%D0%B4%D0%B5%D1%81%D0%B5%D1%82_%D1%82%D0%B5%D1%82%D1%80%D0%B0%D0%B5%D0%B4%D1%8A%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Съединение от десет тетраедъра (страницата не съществува)">съединение от десет тетраедъра</a> (13)</li> <li><a href="/w/index.php?title=%D0%98%D0%B7%D0%BA%D0%BE%D0%BF%D0%B0%D0%BD_%D0%B4%D0%BE%D0%B4%D0%B5%D0%BA%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&redlink=1" class="new" title="Изкопан додекаедър (страницата не съществува)">изкопан додекаедър</a> (30)</li> <li><a href="/w/index.php?title=%D0%93%D0%BE%D0%BB%D1%8F%D0%BC_%D0%B8%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&redlink=1" class="new" title="Голям икосаедър (страницата не съществува)">голям икосаедър</a> (45)</li> <li><a href="/w/index.php?title=%D0%91%D0%BE%D0%B4%D0%BB%D0%BE%D1%81%D1%82%D0%B5%D0%BD&action=edit&redlink=1" class="new" title="Бодлостен (страницата не съществува)">бодлостен</a> (58)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Източници"><span id=".D0.98.D0.B7.D1.82.D0.BE.D1.87.D0.BD.D0.B8.D1.86.D0.B8"></span>Източници</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&veaction=edit&section=5" title="Редактиране на раздел: Източници" class="mw-editsection-visualeditor"><span>редактиране</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%98%D0%BA%D0%BE%D1%81%D0%B0%D0%B5%D0%B4%D1%8A%D1%80&action=edit&section=5" title="Edit section's source code: Източници"><span>редактиране на кода</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Евклид, <i>Елементи</i>, София: Наука и Изкуство, 1972</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Icosahedron.html">Icosahedron</a> on Mathworld.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text">H. S. M. Coxeter, Patrick du Val, H.T. Flather, J.F. Petrie (1938) <i>The Fifty-nine Icosahedra</i>, University of Toronto studies, mathematical series 6: 1–26. </span> </li> </ol></div> <table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="collapsible collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="col" class="navbox-title" colspan="2" style="background-color:#FFD700;"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD:%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D0%BD%D0%B8_%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%81%D1%82%D0%B5%D0%BD%D0%B8" title="Шаблон:Правилни триъгълни многостени"><abbr title="Преглед на шаблона" style=";background-color:#FFD700;background:none transparent;border:none;">п</abbr></a></li><li class="nv-talk"><a class="external text" href="https://bg.wikipedia.org/wiki/%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD_%D0%B1%D0%B5%D1%81%D0%B5%D0%B4%D0%B0:%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D0%BD%D0%B8_%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%81%D1%82%D0%B5%D0%BD%D0%B8"><abbr title="Беседа на шаблона" style=";background-color:#FFD700;background:none transparent;border:none;">б</abbr></a></li><li class="nv-edit"><a class="external text" href="https://bg.wikipedia.org/w/index.php?title=%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD:%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D0%BD%D0%B8_%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%81%D1%82%D0%B5%D0%BD%D0%B8&action=edit"><abbr title="Редактиране на шаблона" style=";background-color:#FFD700;background:none transparent;border:none;">р</abbr></a></li></ul></div><div style="font-size:110%;"> Правилни триъгълни многостени</div></th></tr><tr style="height:2px;"><td></td></tr><tr><td colspan="2" class="navbox-list nowraplinks navbox-odd" style="width:100%;padding:0px;"><div style="padding:0em 0.25em;"> <a href="/wiki/%D0%A2%D0%B5%D1%82%D1%80%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Тетраедър">Тетраедър</a><span style="font-weight:bold;"> ·</span>  <a href="/wiki/%D0%9E%D0%BA%D1%82%D0%B0%D0%B5%D0%B4%D1%8A%D1%80" title="Октаедър">Октаедър</a><span style="font-weight:bold;"> ·</span>  <a class="mw-selflink selflink">Икосаедър</a><span style="font-weight:bold;"> ·</span>  <a href="/w/index.php?title=%D0%A2%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%BE_%D0%BF%D0%B0%D0%BD%D0%BE&action=edit&redlink=1" class="new" title="Триъгълно пано (страницата не съществува)">Триъгълно пано</a><span style="font-weight:bold;"> ·</span>  <a href="/w/index.php?title=%D0%A1%D0%B5%D0%B4%D0%BC%D0%BE%D1%80%D0%B5%D0%B4%D0%BE%D0%B2%D0%BE_%D1%82%D1%80%D0%B8%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%BE_%D0%BF%D0%B0%D0%BD%D0%BE&action=edit&redlink=1" class="new" title="Седморедово триъгълно пано (страницата не съществува)">Седморедово 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title="Безкрайноредово триъгълно пано (страницата не съществува)">Безкрайноредово триъгълно пано</a></div></td></tr></tbody></table></td></tr></tbody></table> <table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="hlist hlist-big plainlinks navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="row" class="navbox-group">Нормативен контрол<span class="mw-valign-text-top" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q188758#identifiers" title="Редактиране в Уикиданни"><img alt="Редактиране в Уикиданни" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 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