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<body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Cub rootpage-Cub skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Vés al contingut</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Lloc"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" title="Menú principal" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Menú principal" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled 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<div id="p-Comunitat" class="vector-menu mw-portlet mw-portlet-Comunitat" > <div class="vector-menu-heading"> Comunitat </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Portal" title="Sobre el projecte, què podeu fer, on trobareu les coses"><span>Portal viquipedista</span></a></li><li id="n-Agenda-d'actes" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Trobades"><span>Agenda d'actes</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:Canvis_recents" title="Una llista dels canvis recents al wiki [r]" accesskey="r"><span>Canvis recents</span></a></li><li id="n-La-taverna" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:La_taverna"><span>La taverna</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Contacte"><span>Contacte</span></a></li><li id="n-Xat" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Canals_IRC"><span>Xat</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Ajuda" title="El lloc per a saber més coses"><span>Ajuda</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Portada" 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="Viquipèdia" src="/static/images/mobile/copyright/wikipedia-wordmark-ca.svg" style="width: 7.5em; height: 1.4375em;"> <img class="mw-logo-tagline" alt="l'Enciclopèdia Lliure" src="/static/images/mobile/copyright/wikipedia-tagline-ca.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </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 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id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Especial:Cerca"> </div> <button class="cdx-button cdx-search-input__end-button">Cerca</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Eines personals"> <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="Aparença"> <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="Aparença" > <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">Aparença</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="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=ca.wikipedia.org&uselang=ca" class=""><span>Donatius</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=Especial:Crea_compte&returnto=Cub" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori" class=""><span>Crea un compte</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=Especial:Registre_i_entrada&returnto=Cub" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o" class=""><span>Inicia la sessió</span></a> </li> </ul> </div> </div> </div> <div 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mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pàgines per a editors no registrats <a href="/wiki/Ajuda:Introducci%C3%B3" aria-label="Vegeu més informació sobre l'edició"><span>més informació</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/Especial:Contribucions_pr%C3%B2pies" title="Una llista de les modificacions fetes des d'aquesta adreça IP [y]" accesskey="y"><span>Contribucions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:Discussi%C3%B3_personal" title="Discussió sobre les edicions per aquesta adreça ip. [n]" accesskey="n"><span>Discussió per aquest IP</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="Lloc"> <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="Contingut" 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">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</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">Inici</div> </a> </li> <li id="toc-Geometria_i_fórmules" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Geometria_i_fórmules"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Geometria i fórmules</span> </div> </a> <button aria-controls="toc-Geometria_i_fórmules-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Commuta la subsecció Geometria i fórmules</span> </button> <ul id="toc-Geometria_i_fórmules-sublist" class="vector-toc-list"> <li id="toc-Simetria" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Simetria"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Simetria</span> </div> </a> <ul id="toc-Simetria-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Punt_en_l'espai" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Punt_en_l'espai"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Punt en l'espai</span> </div> </a> <ul id="toc-Punt_en_l'espai-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Coordenades_cartesianes_i_equació_en_l'espai_tridimensional" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Coordenades_cartesianes_i_equació_en_l'espai_tridimensional"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Coordenades cartesianes i equació en l'espai tridimensional</span> </div> </a> <button aria-controls="toc-Coordenades_cartesianes_i_equació_en_l'espai_tridimensional-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Commuta la subsecció Coordenades cartesianes i equació en l'espai tridimensional</span> </button> <ul id="toc-Coordenades_cartesianes_i_equació_en_l'espai_tridimensional-sublist" class="vector-toc-list"> <li id="toc-Coordenades_cartesianes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Coordenades_cartesianes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Coordenades cartesianes</span> </div> </a> <ul id="toc-Coordenades_cartesianes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Equació_en_l'espai_tridimensional" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Equació_en_l'espai_tridimensional"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Equació en l'espai tridimensional</span> </div> </a> <ul id="toc-Equació_en_l'espai_tridimensional-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Projeccions_ortogonals" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Projeccions_ortogonals"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Projeccions ortogonals</span> </div> </a> <ul id="toc-Projeccions_ortogonals-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Políedre_esfèric" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Políedre_esfèric"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Políedre esfèric</span> </div> </a> <ul id="toc-Políedre_esfèric-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Problemes_clàssics" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Problemes_clàssics"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Problemes clàssics</span> </div> </a> <button aria-controls="toc-Problemes_clàssics-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Commuta la subsecció Problemes clàssics</span> </button> <ul id="toc-Problemes_clàssics-sublist" class="vector-toc-list"> <li id="toc-La_duplicació_del_cub_o_problema_de_Delos" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#La_duplicació_del_cub_o_problema_de_Delos"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>La duplicació del cub o problema de Delos</span> </div> </a> <ul id="toc-La_duplicació_del_cub_o_problema_de_Delos-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mecanitzar_un_cub_en_un_torn" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mecanitzar_un_cub_en_un_torn"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Mecanitzar un cub en un torn</span> </div> </a> <ul id="toc-Mecanitzar_un_cub_en_un_torn-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-En_la_cultura" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#En_la_cultura"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>En la cultura</span> </div> </a> <button aria-controls="toc-En_la_cultura-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Commuta la subsecció En la cultura</span> </button> <ul id="toc-En_la_cultura-sublist" class="vector-toc-list"> <li id="toc-En_espectacles_de_fira" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#En_espectacles_de_fira"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>En espectacles de fira</span> </div> </a> <ul id="toc-En_espectacles_de_fira-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-En_mineralogia" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#En_mineralogia"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.2</span> <span>En mineralogia</span> </div> </a> <ul id="toc-En_mineralogia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Acústica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Acústica"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.3</span> <span>Acústica</span> </div> </a> <ul id="toc-Acústica-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vegeu_també" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vegeu_també"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Vegeu també</span> </div> </a> <ul id="toc-Vegeu_també-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="Contingut" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Taula de continguts" > <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="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Cub</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="Vés a un article en una altra llengua. Disponible en 105 llengües" > <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-105" 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">105 llengües</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/Kubus" title="Kubus - afrikaans" lang="af" hreflang="af" data-title="Kubus" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%AD%E1%8B%A9%E1%89%A5" title="ክዩብ - amhàric" lang="am" hreflang="am" data-title="ክዩብ" data-language-autonym="አማርኛ" data-language-local-name="amhàric" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Cubo" title="Cubo - aragonès" lang="an" hreflang="an" data-title="Cubo" data-language-autonym="Aragonés" data-language-local-name="aragonès" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%83%D8%B9%D8%A8" title="مكعب - àrab" lang="ar" hreflang="ar" data-title="مكعب" data-language-autonym="العربية" data-language-local-name="àrab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%85%D9%83%D8%B9%D8%A8" title="مكعب - Moroccan Arabic" lang="ary" hreflang="ary" data-title="مكعب" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Hexaedru" title="Hexaedru - asturià" lang="ast" hreflang="ast" data-title="Hexaedru" data-language-autonym="Asturianu" data-language-local-name="asturià" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Kub" title="Kub - azerbaidjanès" lang="az" hreflang="az" data-title="Kub" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidjanès" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%A9%DB%86%D8%A8" title="کۆب - South Azerbaijani" lang="azb" hreflang="azb" data-title="کۆب" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - baixkir" lang="ba" hreflang="ba" data-title="Куб" data-language-autonym="Башҡортса" data-language-local-name="baixkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - belarús" lang="be" hreflang="be" data-title="Куб" data-language-autonym="Беларуская" data-language-local-name="belarús" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - búlgar" lang="bg" hreflang="bg" data-title="Куб" data-language-autonym="Български" data-language-local-name="búlgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kocka" title="Kocka - bosnià" lang="bs" hreflang="bs" data-title="Kocka" data-language-autonym="Bosanski" data-language-local-name="bosnià" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B4%DB%95%D8%B4%D9%BE%D8%A7%DA%B5%D9%88%D9%88" title="شەشپاڵوو - kurd central" lang="ckb" hreflang="ckb" data-title="شەشپاڵوو" data-language-autonym="کوردی" data-language-local-name="kurd central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Krychle" title="Krychle - txec" lang="cs" hreflang="cs" data-title="Krychle" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - txuvaix" lang="cv" hreflang="cv" data-title="Куб" data-language-autonym="Чӑвашла" data-language-local-name="txuvaix" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Ciwb" title="Ciwb - gal·lès" lang="cy" hreflang="cy" data-title="Ciwb" data-language-autonym="Cymraeg" data-language-local-name="gal·lès" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Terning" title="Terning - danès" lang="da" hreflang="da" data-title="Terning" data-language-autonym="Dansk" data-language-local-name="danès" 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/W%C3%BCrfel_(Geometrie)" title="Würfel (Geometrie) - alemany" lang="de" hreflang="de" data-title="Würfel (Geometrie)" data-language-autonym="Deutsch" data-language-local-name="alemany" 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%9A%CF%8D%CE%B2%CE%BF%CF%82" title="Κύβος - grec" lang="el" hreflang="el" data-title="Κύβος" data-language-autonym="Ελληνικά" data-language-local-name="grec" 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/Cube" title="Cube - anglès" lang="en" hreflang="en" data-title="Cube" data-language-autonym="English" data-language-local-name="anglès" 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/Kubo_(geometrio)" title="Kubo (geometrio) - esperanto" lang="eo" hreflang="eo" data-title="Kubo (geometrio)" 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/Cubo" title="Cubo - espanyol" lang="es" hreflang="es" data-title="Cubo" data-language-autonym="Español" data-language-local-name="espanyol" 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/Kuup" title="Kuup - estonià" lang="et" hreflang="et" data-title="Kuup" data-language-autonym="Eesti" data-language-local-name="estonià" 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/Kubo" title="Kubo - basc" lang="eu" hreflang="eu" data-title="Kubo" data-language-autonym="Euskara" data-language-local-name="basc" 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/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب - persa" lang="fa" hreflang="fa" data-title="مکعب" data-language-autonym="فارسی" data-language-local-name="persa" 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/Kuutio" title="Kuutio - finès" lang="fi" hreflang="fi" data-title="Kuutio" data-language-autonym="Suomi" data-language-local-name="finès" 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/Cube" title="Cube - francès" lang="fr" hreflang="fr" data-title="Cube" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Tiarling_(Geometrii)" title="Tiarling (Geometrii) - frisó septentrional" lang="frr" hreflang="frr" data-title="Tiarling (Geometrii)" data-language-autonym="Nordfriisk" data-language-local-name="frisó septentrional" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Ci%C3%BAb" title="Ciúb - irlandès" lang="ga" hreflang="ga" data-title="Ciúb" data-language-autonym="Gaeilge" data-language-local-name="irlandès" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E7%AB%8B%E6%96%B9%E9%AB%94" title="立方體 - xinès gan" lang="gan" hreflang="gan" data-title="立方體" data-language-autonym="贛語" data-language-local-name="xinès gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cubo" title="Cubo - gallec" lang="gl" hreflang="gl" data-title="Cubo" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B8%E0%AA%AE%E0%AA%98%E0%AA%A8" title="સમઘન - gujarati" lang="gu" hreflang="gu" data-title="સમઘન" data-language-autonym="ગુજરાતી" data-language-local-name="gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%91%D7%99%D7%99%D7%94" title="קובייה - hebreu" lang="he" hreflang="he" data-title="קובייה" data-language-autonym="עברית" data-language-local-name="hebreu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%98%E0%A4%A8_(%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF)" title="घन (ज्यामिति) - hindi" lang="hi" hreflang="hi" data-title="घन (ज्यामिति)" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kocka" title="Kocka - croat" lang="hr" hreflang="hr" data-title="Kocka" data-language-autonym="Hrvatski" data-language-local-name="croat" 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/Kocka" title="Kocka - hongarès" lang="hu" hreflang="hu" data-title="Kocka" data-language-autonym="Magyar" data-language-local-name="hongarès" 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/%D4%BD%D5%B8%D6%80%D5%A1%D5%B6%D5%A1%D6%80%D5%A4" title="Խորանարդ - armeni" lang="hy" hreflang="hy" data-title="Խորանարդ" data-language-autonym="Հայերեն" data-language-local-name="armeni" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%BD%D5%B8%D6%80%D5%A1%D5%B6%D5%A1%D6%80%D5%A4" title="Խորանարդ - Western Armenian" lang="hyw" hreflang="hyw" data-title="Խորանարդ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kubus" title="Kubus - indonesi" lang="id" hreflang="id" data-title="Kubus" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" 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/Kubo" title="Kubo - ido" lang="io" hreflang="io" data-title="Kubo" 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/Cubo" title="Cubo - italià" lang="it" hreflang="it" data-title="Cubo" data-language-autonym="Italiano" data-language-local-name="italià" 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/%E6%AD%A3%E5%85%AD%E9%9D%A2%E4%BD%93" title="正六面体 - japonès" lang="ja" hreflang="ja" data-title="正六面体" data-language-autonym="日本語" data-language-local-name="japonès" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Kyuub" title="Kyuub - crioll anglès de Jamaica" lang="jam" hreflang="jam" data-title="Kyuub" data-language-autonym="Patois" data-language-local-name="crioll anglès de Jamaica" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Kubuk" title="Kubuk - javanès" lang="jv" hreflang="jv" data-title="Kubuk" data-language-autonym="Jawa" data-language-local-name="javanès" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%A3%E1%83%91%E1%83%98" title="კუბი - georgià" lang="ka" hreflang="ka" data-title="კუბი" data-language-autonym="ქართული" data-language-local-name="georgià" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - kazakh" lang="kk" hreflang="kk" data-title="Куб" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%98%E0%B2%A8_(%E0%B2%86%E0%B2%95%E0%B3%83%E0%B2%A4%E0%B2%BF)" title="ಘನ (ಆಕೃತಿ) - kannada" lang="kn" hreflang="kn" data-title="ಘನ (ಆಕೃತಿ)" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EC%9C%A1%EB%A9%B4%EC%B2%B4" title="정육면체 - coreà" lang="ko" hreflang="ko" data-title="정육면체" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - kirguís" lang="ky" hreflang="ky" data-title="Куб" data-language-autonym="Кыргызча" data-language-local-name="kirguís" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Cubus" title="Cubus - llatí" lang="la" hreflang="la" data-title="Cubus" data-language-autonym="Latina" data-language-local-name="llatí" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Wierfel" title="Wierfel - luxemburguès" lang="lb" hreflang="lb" data-title="Wierfel" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxemburguès" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%A5%E0%BA%B9%E0%BA%81%E0%BA%9A%E0%BA%B2%E0%BA%94" title="ລູກບາດ - laosià" lang="lo" hreflang="lo" data-title="ລູກບາດ" data-language-autonym="ລາວ" data-language-local-name="laosià" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Kubas" title="Kubas - lituà" lang="lt" hreflang="lt" data-title="Kubas" data-language-autonym="Lietuvių" data-language-local-name="lituà" 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/Kubs" title="Kubs - letó" lang="lv" hreflang="lv" data-title="Kubs" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1%D1%81%D1%8C" title="Кубсь - mordovià moksa" lang="mdf" hreflang="mdf" data-title="Кубсь" data-language-autonym="Мокшень" data-language-local-name="mordovià moksa" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Goba_(je%C3%B4metria)" title="Goba (jeômetria) - malgaix" lang="mg" hreflang="mg" data-title="Goba (jeômetria)" data-language-autonym="Malagasy" data-language-local-name="malgaix" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - Eastern Mari" lang="mhr" hreflang="mhr" data-title="Куб" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%BE%D1%86%D0%BA%D0%B0" title="Коцка - macedoni" lang="mk" hreflang="mk" data-title="Коцка" data-language-autonym="Македонски" data-language-local-name="macedoni" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B4%AE%E0%B4%9A%E0%B4%A4%E0%B5%81%E0%B4%B0%E0%B4%95%E0%B5%8D%E0%B4%95%E0%B4%9F%E0%B5%8D%E0%B4%9F" title="സമചതുരക്കട്ട - malaiàlam" lang="ml" hreflang="ml" data-title="സമചതുരക്കട്ട" data-language-autonym="മലയാളം" data-language-local-name="malaiàlam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%98%E0%A4%A8_(%E0%A4%AD%E0%A5%82%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80)" title="घन (भूमिती) - marathi" lang="mr" hreflang="mr" data-title="घन (भूमिती)" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kubus" title="Kubus - malai" lang="ms" hreflang="ms" data-title="Kubus" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/W%C3%B6rpel_(Geometrie)" title="Wörpel (Geometrie) - baix alemany" lang="nds" hreflang="nds" data-title="Wörpel (Geometrie)" data-language-autonym="Plattdüütsch" data-language-local-name="baix alemany" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Kubus_(ruimtelijke_figuur)" title="Kubus (ruimtelijke figuur) - neerlandès" lang="nl" hreflang="nl" data-title="Kubus (ruimtelijke figuur)" data-language-autonym="Nederlands" data-language-local-name="neerlandès" 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/Kube" title="Kube - noruec nynorsk" lang="nn" hreflang="nn" data-title="Kube" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec nynorsk" 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/Kube" title="Kube - noruec bokmål" lang="nb" hreflang="nb" data-title="Kube" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Cube" title="Cube - occità" lang="oc" hreflang="oc" data-title="Cube" data-language-autonym="Occitan" data-language-local-name="occità" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Garjii" title="Garjii - oromo" lang="om" hreflang="om" data-title="Garjii" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%98%E0%A8%A3_(%E0%A8%96%E0%A9%87%E0%A8%A4%E0%A8%B0%E0%A8%AE%E0%A8%BF%E0%A8%A4%E0%A9%80)" title="ਘਣ (ਖੇਤਰਮਿਤੀ) - panjabi" lang="pa" hreflang="pa" data-title="ਘਣ (ਖੇਤਰਮਿਤੀ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Sze%C5%9Bcian_(geometria)" title="Sześcian (geometria) - polonès" lang="pl" hreflang="pl" data-title="Sześcian (geometria)" data-language-autonym="Polski" data-language-local-name="polonès" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Cubo" title="Cubo - piemontès" lang="pms" hreflang="pms" data-title="Cubo" data-language-autonym="Piemontèis" data-language-local-name="piemontès" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب - Western Punjabi" lang="pnb" hreflang="pnb" data-title="مکعب" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AF%D8%B1%DB%90%D9%8A%DA%81_(%D9%85%DB%90%DA%86%D9%BE%D9%88%D9%87%D9%86%D9%87)" title="درېيځ (مېچپوهنه) - paixtu" lang="ps" hreflang="ps" data-title="درېيځ (مېچپوهنه)" data-language-autonym="پښتو" data-language-local-name="paixtu" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Cubo" title="Cubo - portuguès" lang="pt" hreflang="pt" data-title="Cubo" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Mach%27ina" title="Mach'ina - quítxua" lang="qu" hreflang="qu" data-title="Mach'ina" data-language-autonym="Runa Simi" data-language-local-name="quítxua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Cub" title="Cub - romanès" lang="ro" hreflang="ro" data-title="Cub" data-language-autonym="Română" data-language-local-name="romanès" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - rus" lang="ru" hreflang="ru" data-title="Куб" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - iacut" lang="sah" hreflang="sah" data-title="Куб" data-language-autonym="Саха тыла" data-language-local-name="iacut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Cubbu" title="Cubbu - sicilià" lang="scn" hreflang="scn" data-title="Cubbu" data-language-autonym="Sicilianu" data-language-local-name="sicilià" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Cube" title="Cube - escocès" lang="sco" hreflang="sco" data-title="Cube" data-language-autonym="Scots" data-language-local-name="escocès" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-se mw-list-item"><a href="https://se.wikipedia.org/wiki/Gu%C4%91ahas" title="Guđahas - sami septentrional" lang="se" hreflang="se" data-title="Guđahas" data-language-autonym="Davvisámegiella" data-language-local-name="sami septentrional" class="interlanguage-link-target"><span>Davvisámegiella</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kocka" title="Kocka - serbocroat" lang="sh" hreflang="sh" data-title="Kocka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9D%E0%B6%B1%E0%B6%9A%E0%B6%BA" title="ඝනකය - singalès" lang="si" hreflang="si" data-title="ඝනකය" data-language-autonym="සිංහල" data-language-local-name="singalès" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Cube" title="Cube - Simple English" lang="en-simple" hreflang="en-simple" data-title="Cube" 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/Kocka" title="Kocka - eslovac" lang="sk" hreflang="sk" data-title="Kocka" data-language-autonym="Slovenčina" data-language-local-name="eslovac" 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/Kocka" title="Kocka - eslovè" lang="sl" hreflang="sl" data-title="Kocka" data-language-autonym="Slovenščina" data-language-local-name="eslovè" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Sedjibeke_(shaxan)" title="Sedjibeke (shaxan) - somali" lang="so" hreflang="so" data-title="Sedjibeke (shaxan)" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Kubi_(gjeometri)" title="Kubi (gjeometri) - albanès" lang="sq" hreflang="sq" data-title="Kubi (gjeometri)" data-language-autonym="Shqip" data-language-local-name="albanès" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%BE%D1%86%D0%BA%D0%B0" title="Коцка - serbi" lang="sr" hreflang="sr" data-title="Коцка" data-language-autonym="Српски / srpski" data-language-local-name="serbi" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Kubes" title="Kubes - sondanès" lang="su" hreflang="su" data-title="Kubes" data-language-autonym="Sunda" data-language-local-name="sondanès" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kub" title="Kub - suec" lang="sv" hreflang="sv" data-title="Kub" data-language-autonym="Svenska" data-language-local-name="suec" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Mchemraba" title="Mchemraba - suahili" lang="sw" hreflang="sw" data-title="Mchemraba" data-language-autonym="Kiswahili" data-language-local-name="suahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A9%E0%AE%9A%E0%AE%A4%E0%AF%81%E0%AE%B0%E0%AE%AE%E0%AF%8D" title="கனசதுரம் - tàmil" lang="ta" hreflang="ta" data-title="கனசதுரம்" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%95%E0%B1%8D%E0%B0%AF%E0%B1%82%E0%B0%AC%E0%B1%8D" title="క్యూబ్ - telugu" lang="te" hreflang="te" data-title="క్యూబ్" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</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%A5%E0%B8%B9%E0%B8%81%E0%B8%9A%E0%B8%B2%E0%B8%A8%E0%B8%81%E0%B9%8C" title="ทรงลูกบาศก์ - tai" lang="th" hreflang="th" data-title="ทรงลูกบาศก์" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCp" title="Küp - turc" lang="tr" hreflang="tr" data-title="Küp" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб - ucraïnès" lang="uk" hreflang="uk" data-title="Куб" data-language-autonym="Українська" data-language-local-name="ucraïnès" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب - urdú" lang="ur" hreflang="ur" data-title="مکعب" data-language-autonym="اردو" data-language-local-name="urdú" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kub" title="Kub - uzbek" lang="uz" hreflang="uz" data-title="Kub" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Kh%E1%BB%91i_l%E1%BA%ADp_ph%C6%B0%C6%A1ng" title="Khối lập phương - vietnamita" lang="vi" hreflang="vi" data-title="Khối lập phương" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Kubo" title="Kubo - waray" lang="war" hreflang="war" data-title="Kubo" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%AB%8B%E6%96%B9%E4%BD%93" title="立方体 - xinès wu" lang="wuu" hreflang="wuu" data-title="立方体" data-language-autonym="吴语" data-language-local-name="xinès wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%AB%8B%E6%96%B9%E9%AB%94" title="立方體 - xinès" lang="zh" hreflang="zh" data-title="立方體" data-language-autonym="中文" data-language-local-name="xinès" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Chi%C3%A0%E2%81%BF_lio%CC%8Dk-bi%C4%81n-th%C3%A9" title="Chiàⁿ lio̍k-biān-thé - xinès min del sud" lang="nan" hreflang="nan" data-title="Chiàⁿ lio̍k-biān-thé" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="xinès min del sud" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E9%AB%94" title="正方體 - cantonès" lang="yue" hreflang="yue" data-title="正方體" data-language-autonym="粵語" data-language-local-name="cantonès" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/IGcikiva" title="IGcikiva - zulu" lang="zu" hreflang="zu" data-title="IGcikiva" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</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/Q812880#sitelinks-wikipedia" title="Modifica enllaços interlingües" class="wbc-editpage">Modifica els enllaços</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="Espais de noms"> <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/Cub" title="Vegeu el contingut de la pàgina [c]" accesskey="c"><span>Pàgina</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Discussi%C3%B3:Cub&action=edit&redlink=1" rel="discussion" class="new" title="Discussió sobre el contingut d'aquesta pàgina (encara no existeix) [t]" accesskey="t"><span>Discussió</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="Canvia la variant de llengua" > <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">català</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="Vistes"> <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/Cub"><span>Mostra</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Cub&action=edit" title="Modifica el codi font d'aquesta pàgina [e]" accesskey="e"><span>Modifica</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Cub&action=history" title="Versions antigues d'aquesta pàgina [h]" accesskey="h"><span>Mostra l'historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Eines de la pàgina"> <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="Eines" > <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">Eines</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">Eines</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">amaga</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Més opcions" > <div class="vector-menu-heading"> Accions </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/Cub"><span>Mostra</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Cub&action=edit" title="Modifica el codi font d'aquesta pàgina [e]" accesskey="e"><span>Modifica</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Cub&action=history"><span>Mostra l'historial</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:Enlla%C3%A7os/Cub" title="Una llista de totes les pàgines wiki que enllacen amb aquesta [j]" accesskey="j"><span>Què hi enllaça</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:Seguiment/Cub" rel="nofollow" title="Canvis recents a pàgines enllaçades des d'aquesta pàgina [k]" accesskey="k"><span>Canvis relacionats</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Cub&oldid=34509632" title="Enllaç permanent a aquesta revisió de la pàgina"><span>Enllaç permanent</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Cub&action=info" title="Més informació sobre aquesta pàgina"><span>Informació de la pàgina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Especial:Citau&page=Cub&id=34509632&wpFormIdentifier=titleform" title="Informació sobre com citar aquesta pàgina"><span>Citau aquest article</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:UrlShortener&url=https%3A%2F%2Fca.wikipedia.org%2Fwiki%2FCub"><span>Obtén una URL abreujada</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&url=https%3A%2F%2Fca.wikipedia.org%2Fwiki%2FCub"><span>Descarrega el codi QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Imprimeix/exporta </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Llibre&bookcmd=book_creator&referer=Cub"><span>Crea un llibre</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Cub&action=show-download-screen"><span>Baixa com a PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Cub&printable=yes" title="Versió per a impressió d'aquesta pàgina [p]" accesskey="p"><span>Versió per a impressora</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> En altres projectes </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Cube" hreflang="en"><span>Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q812880" title="Enllaç a l'element del repositori de dades connectat [g]" accesskey="g"><span>Element a Wikidata</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="Eines de la pàgina"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aparença"> <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">Aparença</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">amaga</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">De la Viquipèdia, l'enciclopèdia lliure</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="ca" dir="ltr"><table class="infobox" style="font-size:90%;width:25em"><caption style="font-weight:bold;background:#b0d1ad"><span style="float:left;"><span typeof="mw:File"><span title="Infotaula de polítop"><img alt="Infotaula de polítop" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Pyramid_icon.svg/22px-Pyramid_icon.svg.png" decoding="async" width="22" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Pyramid_icon.svg/33px-Pyramid_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Pyramid_icon.svg/44px-Pyramid_icon.svg.png 2x" data-file-width="303" data-file-height="258" /></span></span></span>Cub</caption><tbody><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"><span typeof="mw:File"><a href="/wiki/Fitxer:Plato-6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Plato-6.png/300px-Plato-6.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Plato-6.png/450px-Plato-6.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Plato-6.png/600px-Plato-6.png 2x" data-file-width="1024" data-file-height="1024" /></a></span></td></tr><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"><span typeof="mw:File"><span class="mw-3d-wrapper" data-label="3D"><a href="/wiki/Fitxer:Hexahedron.stl" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Hexahedron.stl/300px-Hexahedron.stl.png" decoding="async" width="300" height="225" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Hexahedron.stl/450px-Hexahedron.stl.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Hexahedron.stl/600px-Hexahedron.stl.png 2x" data-file-width="5120" data-file-height="2880" /></a></span></span><div style="font-size:90%;">Model 3D</div></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Tipus</th><td class="infobox-data"><a href="/wiki/S%C3%B2lid_plat%C3%B2nic" title="Sòlid platònic">sòlid platònic</a>, <a href="/wiki/Hipercub" title="Hipercub">hipercub</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q2485866" class="extiw" title="d:Special:EntityPage/Q2485866">zonoedre</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q3100536" class="extiw" title="d:Special:EntityPage/Q3100536">trapezoedre trigonal</a>, <a href="/wiki/Romboedre" title="Romboedre">romboedre</a>, <a href="/wiki/Ortoedre" title="Ortoedre">ortoedre</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q10925338" class="extiw" title="d:Special:EntityPage/Q10925338">prisma quadrilateral</a> i <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q35459920" class="extiw" title="d:Special:EntityPage/Q35459920">objecte 3D</a> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P279" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee">Forma de les cares</th><td class="infobox-data"><a href="/wiki/Quadrat_(pol%C3%ADgon)" title="Quadrat (polígon)">quadrat</a> (6) <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P1312" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee"><a href="/wiki/Configuraci%C3%B3_de_v%C3%A8rtex" title="Configuració de vèrtex">Configuració de vèrtex</a></th><td class="infobox-data"><a href="/wiki/Triangle_equil%C3%A0ter" title="Triangle equilàter">triangle equilàter</a> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P1678" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee"><a href="/wiki/S%C3%ADmbol_de_Schl%C3%A4fli" title="Símbol de Schläfli">Símbol de Schläfli</a></th><td class="infobox-data">{4,3} <span class="penicon" data-bridge-edit-flow="single-best-value"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P3228" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee"><a href="/wiki/Pol%C3%ADedre_dual" title="Políedre dual">Dual</a></th><td class="infobox-data"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q12557050" class="extiw" title="d:Special:EntityPage/Q12557050">octàedre regular</a> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P1322" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th colspan="2" class="infobox-header" style="text-align:center;background:#b0d1ad">Elements</th></tr><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"></td></tr><tr><td style="background:#eeeeee;"><b>Vèrtexs</b></td><td> 8<br /></td></tr><tr><td colspan="2"> </td></tr><tr><td style="background:#eeeeee;"><b>Arestes</b></td><td> 12<br /></td></tr><tr><td colspan="2"> </td></tr><tr><td style="background:#eeeeee;"><b>Cares</b></td><td> 6 <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P2670" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th colspan="2" class="infobox-header" style="text-align:center;background:#b0d1ad">Més informació</th></tr><tr><th scope="row" class="infobox-label" style="text-align:left;background:#eeeeee"><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></th><td class="infobox-data"><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Cube.html">Cube</a> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q812880?uselang=ca#P2812" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr></tbody></table> <p>Un <b>cub</b>, <b>hexàedre regular</b> o <b>hexaedre regular</b> és un <a href="/wiki/Pol%C3%ADedre_regular" title="Políedre regular">políedre regular</a> format per sis cares <a href="/wiki/Quadrat_(pol%C3%ADgon)" title="Quadrat (polígon)">quadrades</a> en el qual en cada <a href="/wiki/V%C3%A8rtex_(geometria)" title="Vèrtex (geometria)">vèrtex</a> hi coincideixen tres <a href="/wiki/Aresta_(geometria)" title="Aresta (geometria)">arestes</a> <a href="/wiki/Perpendicular" class="mw-redirect" title="Perpendicular">perpendiculars</a> entre si. El seu <a href="/wiki/Volum" title="Volum">volum</a> es calcula segons la fórmula <i>a</i>³, on <i>a</i> és la <a href="/wiki/Longitud" title="Longitud">longitud</a> d'una aresta.<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> </p><p>El cub és l'únic <a href="/wiki/Hex%C3%A0edre" title="Hexàedre">hexàedre</a> regular i forma part dels cinc <a href="/wiki/S%C3%B2lids_plat%C3%B2nics" class="mw-redirect" title="Sòlids platònics">sòlids platònics</a>. Té 6 cares, 8 vèrtexs i 12 arestes. També és un paral·lelepípede quadrat i un <a href="/wiki/Cuboide" title="Cuboide">cuboide</a> equilateral. És un <a href="/wiki/Prisma_(geometria)" title="Prisma (geometria)">prisma</a> quadrat regular en tres orientacions i un <a href="/w/index.php?title=Trapezoedre_trigonal&action=edit&redlink=1" class="new" title="Trapezoedre trigonal (encara no existeix)">trapezoedre trigonal</a> en quatre orientacions. És el <a href="/wiki/Pol%C3%ADedre_dual" title="Políedre dual">dual</a> de l'<a href="/wiki/Oct%C3%A0edre" title="Octàedre">octàedre</a> i té <a href="/w/index.php?title=Simetria_octa%C3%A8drica&action=edit&redlink=1" class="new" title="Simetria octaèdrica (encara no existeix)">simetria octaèdrica</a> o cúbica. Finalment, és l'únic <a href="/wiki/Pol%C3%ADedre_convex" title="Políedre convex">políedre convex</a> que té totes les cares quadrades. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Geometria_i_fórmules"><span id="Geometria_i_f.C3.B3rmules"></span>Geometria i fórmules</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=1" title="Modifica la secció: Geometria i fórmules"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Donat un cub regular d'aresta <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>: </p> <table class="wikitable"> <tbody><tr> <td><a href="/wiki/%C3%80rea_(matem%C3%A0tiques)" class="mw-redirect" title="Àrea (matemàtiques)">Àrea de la superfície</a> </td> <td align="center"><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 6a^{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6a^{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b0bc125a28d0e4d2a9ba917fda511295537aee9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.834ex; height:2.676ex;" alt="{\displaystyle 6a^{2}\,}" /></span> </td> <td><a href="/wiki/Volum" title="Volum">Volum</a> </td> <td align="center"><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^{3}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{3}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fd13afa251e8ac7b02e4a04368075c2f4d229a09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.671ex; height:2.676ex;" alt="{\displaystyle a^{3}\,}" /></span> </td></tr> <tr> <td><a href="/w/index.php?title=Diagonal_facial&action=edit&redlink=1" class="new" title="Diagonal facial (encara no existeix)">Diagonal facial</a> </td> <td align="center"><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 {\sqrt {2}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/608f62cecf919e4eb8c06809849033cf63a582c9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.328ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}a}" /></span> </td> <td><a href="/w/index.php?title=Diagonal_espacial&action=edit&redlink=1" class="new" title="Diagonal espacial (encara no existeix)">Diagonal espacial</a> </td> <td align="center"><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="{\textstyle {\sqrt {3}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\textstyle {\sqrt {3}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51b956296a2d25e918d9e0cb33ab1d1aad8a2c22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.328ex; height:3.009ex;" alt="{\textstyle {\sqrt {3}}a}" /></span> </td></tr> <tr> <td>Radi de l'<a href="/w/index.php?title=Esfera_circumscrita&action=edit&redlink=1" class="new" title="Esfera circumscrita (encara no existeix)">esfera circumscrita</a> </td> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\sqrt {3}}{2}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>2</mn> </mfrac> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\sqrt {3}}{2}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54db5484ee5b2849d4a1d268d78e8b3c5eb8a419" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.164ex; height:5.843ex;" alt="{\displaystyle {\frac {\sqrt {3}}{2}}a}" /></span> </td> <td>Radi de l'esfera tangent a les arestes </td> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a}{\sqrt {2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <msqrt> <mn>2</mn> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{\sqrt {2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dda608aff02ad5e622be07bf57b0390d88958b84" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:3.934ex; height:5.676ex;" alt="{\displaystyle {\frac {a}{\sqrt {2}}}}" /></span> </td></tr> <tr> <td>Radi de l'<a href="/w/index.php?title=Esfera_inscrita&action=edit&redlink=1" class="new" title="Esfera inscrita (encara no existeix)">esfera inscrita</a> </td> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d35c566e3fd9f60034351384f59e544152596cc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.066ex; height:4.676ex;" alt="{\displaystyle {\frac {a}{2}}}" /></span> </td> <td><a href="/wiki/Angle_di%C3%A8dric" class="mw-redirect" title="Angle dièdric">Angles entre cares</a> (en <a href="/wiki/Radian" title="Radian">radians</a>) </td> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\pi }{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\pi }{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/98f98bef5d4981ff6e2aa827d4699e347fb30db2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.168ex; height:4.676ex;" alt="{\displaystyle {\frac {\pi }{2}}}" /></span> </td></tr></tbody></table> <p>Com que el volum del cub és la <a href="/wiki/Pot%C3%A8ncia_(matem%C3%A0tiques)" class="mw-redirect" title="Potència (matemàtiques)">potència</a> tercera de les seves arestes (<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\times a\times a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>×</mo> <mi>a</mi> <mo>×</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\times a\times a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb58bcdf625e61157ebfc180d8264b3c5c643af6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.37ex; height:1.676ex;" alt="{\displaystyle a\times a\times a}" /></span>), les potències terceres s'anomenen «<a href="/w/index.php?title=Cub_(%C3%A0lgebra)&action=edit&redlink=1" class="new" title="Cub (àlgebra) (encara no existeix)">cub</a>» per analogia a «<a href="/wiki/Quadrat_(%C3%A0lgebra)" title="Quadrat (àlgebra)">quadrat</a>» i les potències segones. </p><p>El cub té el volum més gros entre tots els <a href="/wiki/Cuboide" title="Cuboide">cuboides</a> amb una mateixa <a href="/wiki/%C3%80rea_superficial" class="mw-redirect" title="Àrea superficial">àrea superficial</a>. A més a més, el cub també té el volum més gros entre els cuboides amb la mateixa longitud d'aresta total (amplada + llargada + alçada). </p> <div class="mw-heading mw-heading3"><h3 id="Simetria">Simetria</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=2" title="Modifica la secció: Simetria"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Un hexaedre regular (o cub) té quinze <a href="/wiki/Eix_de_simetria" class="mw-redirect" title="Eix de simetria">eixos de simetria</a> d'ordre quatre: les rectes perpendiculars a cada parell de cares paral·leles pel seu punt mitjà; quatre eixos de simetria d'ordre dos: les rectes que uneixen els centres d'arestes oposades; nou <a href="/w/index.php?title=Pl%C3%A0nol_de_simetria&action=edit&redlink=1" class="new" title="Plànol de simetria (encara no existeix)">plans de simetria</a>; tres paral·lels a cada parell de cares paral·leles pel punt mitjà de les arestes que les uneixen, i sis formats pels parells d'arestes oposades; i un <a href="/wiki/Centre_de_simetria" class="mw-redirect" title="Centre de simetria">centre de simetria</a>. Això fa que aquest cos tingui un <a href="/w/index.php?title=Ordre_de_simetria&action=edit&redlink=1" class="new" title="Ordre de simetria (encara no existeix)">ordre de simetria</a> total de 48: 2x(3x4+6x2). </p><p>Els elements de simetria anteriors defineixen un dels grups de simetria octaèdrics, el denominat <i>O<sub>h</sub></i> segons <a href="/w/index.php?title=Notaci%C3%B3_de_Sch%C3%B6enflies&action=edit&redlink=1" class="new" title="Notació de Schöenflies (encara no existeix)">notació de Schöenflies</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Punt_en_l'espai"><span id="Punt_en_l.27espai"></span>Punt en l'espai</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=3" title="Modifica la secció: Punt en l'espai"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per un cub l'esfera circumscrita del qual tingui radi <i>R</i>, i per un punt donat del seu espai tridimensional amb distàncies <i>d<sub>i</sub></i> respecte els vuit vèrtexs del cub, s'obté:<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> <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 {\frac {\sum _{i=1}^{8}d_{i}^{4}}{8}}+{\frac {16R^{4}}{9}}=\left({\frac {\sum _{i=1}^{8}d_{i}^{2}}{8}}+{\frac {2R^{2}}{3}}\right)^{2}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>8</mn> </mrow> </munderover> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msubsup> </mrow> <mn>8</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>16</mn> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> </mrow> <mn>9</mn> </mfrac> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>8</mn> </mrow> </munderover> <msubsup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mrow> <mn>8</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>3</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\sum _{i=1}^{8}d_{i}^{4}}{8}}+{\frac {16R^{4}}{9}}=\left({\frac {\sum _{i=1}^{8}d_{i}^{2}}{8}}+{\frac {2R^{2}}{3}}\right)^{2}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5458d2f9482f40c162c3fd595df820a455dc532a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:42.657ex; height:8.009ex;" alt="{\displaystyle {\frac {\sum _{i=1}^{8}d_{i}^{4}}{8}}+{\frac {16R^{4}}{9}}=\left({\frac {\sum _{i=1}^{8}d_{i}^{2}}{8}}+{\frac {2R^{2}}{3}}\right)^{2}.}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Coordenades_cartesianes_i_equació_en_l'espai_tridimensional"><span id="Coordenades_cartesianes_i_equaci.C3.B3_en_l.27espai_tridimensional"></span>Coordenades cartesianes i equació en l'espai tridimensional</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=4" title="Modifica la secció: Coordenades cartesianes i equació en l'espai tridimensional"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Coordenades_cartesianes">Coordenades cartesianes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=5" title="Modifica la secció: Coordenades cartesianes"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per un cub centrat en l'origen, amb arestes paral·leles als eixos i amb una longitud d'aresta de 2, les <a href="/wiki/Coordenades_cartesianes" class="mw-redirect" title="Coordenades cartesianes">coordenades cartesianes</a> dels vèrtexs són: </p> <dl><dd>(±1, ±1, ±1)</dd></dl> <p>Mentre que l'interior consisteix en tots els punts (<i>x</i><sub>0</sub>, <i>x</i><sub>1</sub>, <i>x</i>₂) amb −1 < <i>x</i><sub><i>i</i></sub> < 1 per tot <i>i</i>. </p> <div class="mw-heading mw-heading3"><h3 id="Equació_en_l'espai_tridimensional"><span id="Equaci.C3.B3_en_l.27espai_tridimensional"></span>Equació en l'espai tridimensional</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=6" title="Modifica la secció: Equació en l'espai tridimensional"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En <a href="/wiki/Geometria_anal%C3%ADtica" title="Geometria analítica">geometria analítica</a>, la superfície d'un cub amb centre (<i>x</i><sub>0</sub>, <i>y</i><sub>0</sub>, <i>z</i><sub>0</sub>) i llargada d'aresta <i>2a</i> és el <a href="/w/index.php?title=Locus_(matem%C3%A0tiques)&action=edit&redlink=1" class="new" title="Locus (matemàtiques) (encara no existeix)">locus</a> de tots els punts (<i>x</i>, <i>y</i>, <i>z</i>) tals que </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 \max\{|x-x_{0}|,|y-y_{0}|,|z-z_{0}|\}=a.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo movablelimits="true" form="prefix">max</mo> <mo fence="false" stretchy="false">{</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>z</mi> <mo>−</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo fence="false" stretchy="false">}</mo> <mo>=</mo> <mi>a</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \max\{|x-x_{0}|,|y-y_{0}|,|z-z_{0}|\}=a.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/acf86b1adcc2f8ca8cadcea5041c795d416c26d8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:36.382ex; height:2.843ex;" alt="{\displaystyle \max\{|x-x_{0}|,|y-y_{0}|,|z-z_{0}|\}=a.}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Projeccions_ortogonals">Projeccions ortogonals</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=7" title="Modifica la secció: Projeccions ortogonals"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El cub té quatre <a href="/wiki/Projecci%C3%B3_ortogonal" title="Projecció ortogonal">projeccions ortogonals</a> especials: centrada en un vèrtex, aresta o cara, i normal a la seva <a href="/wiki/Figura_de_v%C3%A8rtex" title="Figura de vèrtex">figura de vèrtex</a>. La primera i tercera corresponen als <a href="/w/index.php?title=Pla_de_Coxeter&action=edit&redlink=1" class="new" title="Pla de Coxeter (encara no existeix)">plans de Coxeter</a> A₂ and B₂. </p> <table class="wikitable" width="360"> <caption>Projeccions ortogonals </caption> <tbody><tr> <th>Centratge per </th> <th>Cara </th> <th>Vèrtex </th></tr> <tr align="center"> <th>Plans de Coxeter </th> <td><b>B₂</b><br /><span typeof="mw:File"><a href="/wiki/Fitxer:2-cube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/2-cube.svg/100px-2-cube.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/2-cube.svg/150px-2-cube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3e/2-cube.svg/200px-2-cube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td><b>A₂</b><br /><span typeof="mw:File"><a href="/wiki/Fitxer:3-cube_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t0.svg/100px-3-cube_t0.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t0.svg/150px-3-cube_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t0.svg/200px-3-cube_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td></tr> <tr align="center"> <th>Simetria<br />projectiva </th> <td>[4] </td> <td>[6] </td></tr> <tr> <th>Vistes laterals </th> <td><span typeof="mw:File"><a href="/wiki/Fitxer:Cube_t0_e.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Cube_t0_e.png/100px-Cube_t0_e.png" decoding="async" width="100" height="93" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Cube_t0_e.png/150px-Cube_t0_e.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Cube_t0_e.png/200px-Cube_t0_e.png 2x" data-file-width="888" data-file-height="823" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/Fitxer:Cube_t0_fb.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Cube_t0_fb.png/100px-Cube_t0_fb.png" decoding="async" width="100" height="114" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Cube_t0_fb.png/150px-Cube_t0_fb.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Cube_t0_fb.png/200px-Cube_t0_fb.png 2x" data-file-width="864" data-file-height="989" /></a></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Políedre_esfèric"><span id="Pol.C3.ADedre_esf.C3.A8ric"></span>Políedre esfèric</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=8" title="Modifica la secció: Políedre esfèric"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El cub també es pot representar com un <a href="/w/index.php?title=Pol%C3%ADedre_esf%C3%A8ric&action=edit&redlink=1" class="new" title="Políedre esfèric (encara no existeix)">políedre esfèric</a> i ser projectat sobre el pla per mitjà d'una <a href="/wiki/Projecci%C3%B3_estereogr%C3%A0fica" class="mw-redirect" title="Projecció estereogràfica">projecció estereogràfica</a>. Aquesta projecció és <a href="/wiki/Transformaci%C3%B3_conforme" title="Transformació conforme">conforme</a>, és a dir, preserva els angles però no pas les àrees o llargades. Les línies rectes de l'esfera es projecten com a arcs circulars sobre el pla. </p> <table class="wikitable"> <tbody><tr align="center" valign="top"> <td><span typeof="mw:File"><a href="/wiki/Fitxer:Uniform_tiling_432-t0.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Uniform_tiling_432-t0.png/160px-Uniform_tiling_432-t0.png" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Uniform_tiling_432-t0.png/240px-Uniform_tiling_432-t0.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Uniform_tiling_432-t0.png/320px-Uniform_tiling_432-t0.png 2x" data-file-width="816" data-file-height="816" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/Fitxer:Cube_stereographic_projection.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Cube_stereographic_projection.svg/160px-Cube_stereographic_projection.svg.png" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Cube_stereographic_projection.svg/240px-Cube_stereographic_projection.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Cube_stereographic_projection.svg/320px-Cube_stereographic_projection.svg.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td></tr> <tr> <th><a href="/wiki/Projecci%C3%B3_ortogr%C3%A0fica" title="Projecció ortogràfica">Projecció ortogràfica</a> </th> <th><a href="/wiki/Projecci%C3%B3_estereogr%C3%A0fica" class="mw-redirect" title="Projecció estereogràfica">Projecció estereogràfica</a> </th></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Problemes_clàssics"><span id="Problemes_cl.C3.A0ssics"></span>Problemes clàssics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=9" title="Modifica la secció: Problemes clàssics"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="La_duplicació_del_cub_o_problema_de_Delos"><span id="La_duplicaci.C3.B3_del_cub_o_problema_de_Delos"></span>La duplicació del cub o problema de Delos</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=10" title="Modifica la secció: La duplicació del cub o problema de Delos"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><sup id="cite_ref-Klein_Beman_Smith_1897_p._3-0" class="reference"><a href="#cite_note-Klein_Beman_Smith_1897_p.-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Jeans_Barroso_2016_p._37_4-0" class="reference"><a href="#cite_note-Jeans_Barroso_2016_p._37-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Mecanitzar_un_cub_en_un_torn">Mecanitzar un cub en un torn</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=11" title="Modifica la secció: Mecanitzar un cub en un torn"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><sup id="cite_ref-YouTube_f373_5-0" class="reference"><a href="#cite_note-YouTube_f373-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="En_la_cultura">En la cultura</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=12" title="Modifica la secció: En la cultura"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:Pyrite_Cubes.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Pyrite_Cubes.JPG/220px-Pyrite_Cubes.JPG" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Pyrite_Cubes.JPG/330px-Pyrite_Cubes.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Pyrite_Cubes.JPG/440px-Pyrite_Cubes.JPG 2x" data-file-width="3186" data-file-height="2124" /></a><figcaption> Tres cristalls cúbics de pirita.</figcaption></figure> <p>Des d'anys passats, i en nombroses cultures, el cub és la forma més utilitzada per donar forma als <a href="/wiki/Dau" title="Dau">daus</a>, utilitzats en molts llocs. En els jocs de rol l'anotació escrita en el dau de sis cares és «D6». </p><p>En <a href="/wiki/Teologia" title="Teologia">teologia</a>, els cubs apareixen a les <a href="/wiki/Religi%C3%B3_abrah%C3%A0mica" title="Religió abrahàmica">religions abrahàmiques</a>. La <a href="/wiki/Kaaba" class="mw-redirect" title="Kaaba">Kaaba</a> de <a href="/wiki/La_Meca" title="La Meca">la Meca</a> n'és un exemple, ja que significa justament «cub» en àrab. També apareixen al <a href="/wiki/Judaisme" title="Judaisme">judaisme</a>: <a href="/w/index.php?title=Teffilin&action=edit&redlink=1" class="new" title="Teffilin (encara no existeix)">teffilin</a> i <a href="/wiki/Nova_Jerusalem" title="Nova Jerusalem">Nova Jerusalem</a> al <a href="/wiki/Nou_Testament" title="Nou Testament">Nou Testament</a> són descrits com a cubs.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>El cub representa simbòlicament la veritat. I s'associava amb Hermes.<sup id="cite_ref-Mackey_1882_p._114_7-0" class="reference"><a href="#cite_note-Mackey_1882_p._114-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="En_espectacles_de_fira">En espectacles de fira</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=13" title="Modifica la secció: En espectacles de fira"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>La caixa cúbica "màgica".<sup id="cite_ref-Frikell_1875_p._194_8-0" class="reference"><a href="#cite_note-Frikell_1875_p._194-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></li> <li>Cub sòlid i caixa cúbica.<sup id="cite_ref-Read_Books_Limited_2015_p._24_9-0" class="reference"><a href="#cite_note-Read_Books_Limited_2015_p._24-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading3"><h3 id="En_mineralogia">En mineralogia</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=14" title="Modifica la secció: En mineralogia"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><sup id="cite_ref-Salatino_2010_p._35_10-0" class="reference"><a href="#cite_note-Salatino_2010_p._35-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Acústica"><span id="Ac.C3.BAstica"></span>Acústica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=15" title="Modifica la secció: Acústica"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><sup id="cite_ref-Kuleyev_Kuleyev_Bakharev_Ustinov_2020_p._8_11-0" class="reference"><a href="#cite_note-Kuleyev_Kuleyev_Bakharev_Ustinov_2020_p._8-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=16" title="Modifica la secció: Referències"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.enciclopedia.cat/gran-enciclopedia-catalana/cub-1">Cub</a>». <i><a href="/wiki/Gran_Enciclop%C3%A8dia_Catalana" title="Gran Enciclopèdia Catalana">Gran Enciclopèdia Catalana</a></i>.  Barcelona:  <a href="/wiki/Grup_Enciclop%C3%A8dia_Catalana" class="mw-redirect" title="Grup Enciclopèdia Catalana">Grup Enciclopèdia Catalana</a>.</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Park, Poo-Sung. "Regular polytope distances", <a href="/w/index.php?title=Forum_Geometricorum&action=edit&redlink=1" class="new" title="Forum Geometricorum (encara no existeix)">Forum Geometricorum</a> 16, 2016, 227-232. <a rel="nofollow" class="external free" href="http://forumgeom.fau.edu/FG2016volume16/FG201627.pdf">http://forumgeom.fau.edu/FG2016volume16/FG201627.pdf</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161010184811/http://forumgeom.fau.edu/FG2016volume16/FG201627.pdf">Arxivat</a> 2016-10-10 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> <li id="cite_note-Klein_Beman_Smith_1897_p.-3"><span class="mw-cite-backlink"><a href="#cite_ref-Klein_Beman_Smith_1897_p._3-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFKleinBemanSmith1897"><span style="font-variant: small-caps;">Klein</span>, F.; <span style="font-variant: small-caps;">Beman</span>, W.W.; <span style="font-variant: small-caps;">Smith</span>, D.E.. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=NDMAAAAAYAAJ"><i>Famous Problems of Elementary Geometry: The Duplication of the Cube; the Trisection of an Angle; the Quadrature of the Circle; an Authorized Translation of F. Klein's Vorträge Über Ausgewählte Fragen Der Elementargeometrie, Ausgearbeitet Von F. Tägert</i></a>.  Ginn & Company, 1897 [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Famous+Problems+of+Elementary+Geometry%3A+The+Duplication+of+the+Cube%3B+the+Trisection+of+an+Angle%3B+the+Quadrature+of+the+Circle%3B+an+Authorized+Translation+of+F.+Klein%27s+Vortr%C3%A4ge+%C3%9Cber+Ausgew%C3%A4hlte+Fragen+Der+Elementargeometrie%2C+Ausgearbeitet+Von+F.+T%C3%A4gert&rft.aulast=Klein&rft.aufirst=F.&rft.date=1897&rft.pub=Ginn+%26+Company&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DNDMAAAAAYAAJ"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-Jeans_Barroso_2016_p._37-4"><span class="mw-cite-backlink"><a href="#cite_ref-Jeans_Barroso_2016_p._37_4-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFJeansBarroso2016"><span style="font-variant: small-caps;">Jeans</span>, J.H.; <span style="font-variant: small-caps;">Barroso</span>, M.H.. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=qQMIDgAAQBAJ&pg=PT37"><i>Historia de la física: Hasta mediados del siglo XX</i></a> (en castellà).  FCE - Fondo de Cultura Económica, 2016, p. 37. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-607-16-4483-1" title="Especial:Fonts bibliogràfiques/978-607-16-4483-1">ISBN 978-607-16-4483-1</a></span> [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Historia+de+la+f%C3%ADsica%3A+Hasta+mediados+del+siglo+XX&rft.aulast=Jeans&rft.aufirst=J.H.&rft.date=2016&rft.pub=FCE+-+Fondo+de+Cultura+Econ%C3%B3mica&rft.pages=37&rft.isbn=978-607-16-4483-1&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DqQMIDgAAQBAJ%26pg%3DPT37"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-YouTube_f373-5"><span class="mw-cite-backlink"><a href="#cite_ref-YouTube_f373_5-0">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=epHuZkgcovs">Como hacer un cubo en torno</a>». [Consulta: 9 agost 2023].</span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.deilataylor.com/symbolism-of-the-cube/">Symbolism of the Cube • Eve Out of the Garden</a>», 30-10-2020.</span></span> </li> <li id="cite_note-Mackey_1882_p._114-7"><span class="mw-cite-backlink"><a href="#cite_ref-Mackey_1882_p._114_7-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFMackey1882"><span style="font-variant: small-caps;">Mackey</span>, A.G.. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=bDPUY_GPSYoC&pg=PA114"><i>The Symbolism of Freemasonry (Esprios Classics)</i></a>.  Blurb, Incorporated, 1882, p. 114. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-1-388-97266-0" title="Especial:Fonts bibliogràfiques/978-1-388-97266-0">ISBN 978-1-388-97266-0</a></span> [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Symbolism+of+Freemasonry+%28Esprios+Classics%29&rft.aulast=Mackey&rft.aufirst=A.G.&rft.date=1882&rft.pub=Blurb%2C+Incorporated&rft.pages=114&rft.isbn=978-1-388-97266-0&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DbDPUY_GPSYoC%26pg%3DPA114"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-Frikell_1875_p._194-8"><span class="mw-cite-backlink"><a href="#cite_ref-Frikell_1875_p._194_8-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFFrikell1875"><span style="font-variant: small-caps;">Frikell</span>, W. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=wk5JAQAAMAAJ&pg=PA194"><i>Hanky Panky: A Book of Conjuring Tricks</i></a>.  Chatto & Windus, 1875, p. 194 [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Hanky+Panky%3A+A+Book+of+Conjuring+Tricks&rft.aulast=Frikell&rft.aufirst=W.&rft.date=1875&rft.pub=Chatto+%26+Windus&rft.pages=194&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3Dwk5JAQAAMAAJ%26pg%3DPA194"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-Read_Books_Limited_2015_p._24-9"><span class="mw-cite-backlink"><a href="#cite_ref-Read_Books_Limited_2015_p._24_9-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=0m9-CgAAQBAJ&pg=PT24"><i>A Collection of Amazing Magic and Card Tricks</i></a>.  Read Books Limited, 2015, p. 24. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-1-4733-9536-7" title="Especial:Fonts bibliogràfiques/978-1-4733-9536-7">ISBN 978-1-4733-9536-7</a></span> [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Collection+of+Amazing+Magic+and+Card+Tricks&rft.date=2015&rft.pub=Read+Books+Limited&rft.pages=24&rft.isbn=978-1-4733-9536-7&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3D0m9-CgAAQBAJ%26pg%3DPT24"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-Salatino_2010_p._35-10"><span class="mw-cite-backlink"><a href="#cite_ref-Salatino_2010_p._35_10-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFSalatino2010"><span style="font-variant: small-caps;">Salatino</span>, A. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=T9usfp2UNEQC&pg=PA35"><i>La Sabiduría de Los Cristales</i></a> (en castellà).  Editorial Kier, 2010, p. 35. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-950-17-3405-8" title="Especial:Fonts bibliogràfiques/978-950-17-3405-8">ISBN 978-950-17-3405-8</a></span> [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=La+Sabidur%C3%ADa+de+Los+Cristales&rft.aulast=Salatino&rft.aufirst=A.&rft.date=2010&rft.pub=Editorial+Kier&rft.pages=35&rft.isbn=978-950-17-3405-8&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DT9usfp2UNEQC%26pg%3DPA35"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-Kuleyev_Kuleyev_Bakharev_Ustinov_2020_p._8-11"><span class="mw-cite-backlink"><a href="#cite_ref-Kuleyev_Kuleyev_Bakharev_Ustinov_2020_p._8_11-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFKuleyevKuleyevBakharevUstinov2020"><span style="font-variant: small-caps;">Kuleyev</span>, I.G.; <span style="font-variant: small-caps;">Kuleyev</span>, I.I.; <span style="font-variant: small-caps;">Bakharev</span>, S.M.; <span style="font-variant: small-caps;">Ustinov</span>, V.V.. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=wkj2DwAAQBAJ&pg=PA8"><i>Phonon Focusing and Phonon Transport: In Single-Crystal Nanostructures</i></a>.  De Gruyter, 2020, p. 8. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-3-11-067050-9" title="Especial:Fonts bibliogràfiques/978-3-11-067050-9">ISBN 978-3-11-067050-9</a></span> [Consulta: 9 agost 2023].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Phonon+Focusing+and+Phonon+Transport%3A+In+Single-Crystal+Nanostructures&rft.aulast=Kuleyev&rft.aufirst=I.G.&rft.date=2020&rft.pub=De+Gruyter&rft.pages=8&rft.isbn=978-3-11-067050-9&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3Dwkj2DwAAQBAJ%26pg%3DPA8"><span style="display: none;"> </span></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Vegeu_també"><span id="Vegeu_tamb.C3.A9"></span>Vegeu també</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cub&action=edit&section=17" title="Modifica la secció: Vegeu 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