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milurtekoa.\u003C/center\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Gunea"> <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="Edukiak" 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">Edukiak</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ezkutatu</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">⇑ Gora</div> </a> </li> <li id="toc-Propietate_orokorrak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietate_orokorrak"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Propietate orokorrak</span> </div> </a> <button aria-controls="toc-Propietate_orokorrak-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>Erakutsi/ezkutatu Propietate orokorrak azpiatal</span> </button> <ul id="toc-Propietate_orokorrak-sublist" class="vector-toc-list"> <li id="toc-Azalera" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Azalera"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Azalera</span> </div> </a> <ul id="toc-Azalera-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bolumena" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Bolumena"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Bolumena</span> </div> </a> <ul id="toc-Bolumena-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Elementuak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Elementuak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Elementuak</span> </div> </a> <button aria-controls="toc-Elementuak-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>Erakutsi/ezkutatu Elementuak azpiatal</span> </button> <ul id="toc-Elementuak-sublist" class="vector-toc-list"> <li id="toc-Aurpegi" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aurpegi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Aurpegi</span> </div> </a> <ul id="toc-Aurpegi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ertz" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ertz"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Ertz</span> </div> </a> <ul id="toc-Ertz-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erpin" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Erpin"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Erpin</span> </div> </a> <ul id="toc-Erpin-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Diagonal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Diagonal"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Diagonal</span> </div> </a> <ul id="toc-Diagonal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zentro" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zentro"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Zentro</span> </div> </a> <ul id="toc-Zentro-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Kuboaren_topologia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kuboaren_topologia"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Kuboaren topologia</span> </div> </a> <button aria-controls="toc-Kuboaren_topologia-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>Erakutsi/ezkutatu Kuboaren topologia azpiatal</span> </button> <ul id="toc-Kuboaren_topologia-sublist" class="vector-toc-list"> <li id="toc-Konbexutasun" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Konbexutasun"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Konbexutasun</span> </div> </a> <ul id="toc-Konbexutasun-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Barrualde" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Barrualde"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Barrualde</span> </div> </a> <ul id="toc-Barrualde-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Muga" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Muga"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Muga</span> </div> </a> <ul id="toc-Muga-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpoalde" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kanpoalde"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Kanpoalde</span> </div> </a> <ul id="toc-Kanpoalde-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Multzo_ireki" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Multzo_ireki"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Multzo ireki</span> </div> </a> <ul id="toc-Multzo_ireki-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Konexutasun" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Konexutasun"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.6</span> <span>Konexutasun</span> </div> </a> <ul id="toc-Konexutasun-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Agerpenak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Agerpenak"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Agerpenak</span> </div> </a> <button aria-controls="toc-Agerpenak-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>Erakutsi/ezkutatu Agerpenak azpiatal</span> </button> <ul id="toc-Agerpenak-sublist" class="vector-toc-list"> <li id="toc-Antzinaroan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Antzinaroan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Antzinaroan</span> </div> </a> <ul id="toc-Antzinaroan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Poliedroetan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Poliedroetan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Poliedroetan</span> </div> </a> <ul id="toc-Poliedroetan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jokoetan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Jokoetan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Jokoetan</span> </div> </a> <ul id="toc-Jokoetan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Arkitekturan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arkitekturan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.4</span> <span>Arkitekturan</span> </div> </a> <ul id="toc-Arkitekturan-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-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="Edukiak" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Eduki-taula" > <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="Eduki taularen ikusgarritasuna aldatu" > <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">Eduki taularen ikusgarritasuna aldatu</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">Kubo</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="Joan beste hizkuntza batean idatzitako artikulu batera. 105 hizkuntzatan eskuragarri." > <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 hizkuntza</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 – afrikaansa" lang="af" hreflang="af" data-title="Kubus" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" 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 – amharera" lang="am" hreflang="am" data-title="ክዩብ" data-language-autonym="አማርኛ" data-language-local-name="amharera" 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 – aragoiera" lang="an" hreflang="an" data-title="Cubo" data-language-autonym="Aragonés" data-language-local-name="aragoiera" 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 – arabiera" lang="ar" hreflang="ar" data-title="مكعب" data-language-autonym="العربية" data-language-local-name="arabiera" 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 – asturiera" lang="ast" hreflang="ast" data-title="Hexaedru" data-language-autonym="Asturianu" data-language-local-name="asturiera" 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 – azerbaijanera" lang="az" hreflang="az" data-title="Kub" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" 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 – baxkirera" lang="ba" hreflang="ba" data-title="Куб" data-language-autonym="Башҡортса" data-language-local-name="baxkirera" 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 – bielorrusiera" lang="be" hreflang="be" data-title="Куб" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" 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 – bulgariera" lang="bg" hreflang="bg" data-title="Куб" data-language-autonym="Български" data-language-local-name="bulgariera" 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 – bosniera" lang="bs" hreflang="bs" data-title="Kocka" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Cub" title="Cub – katalana" lang="ca" hreflang="ca" data-title="Cub" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</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 – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="شەشپاڵوو" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" 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 – txekiera" lang="cs" hreflang="cs" data-title="Krychle" data-language-autonym="Čeština" data-language-local-name="txekiera" 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 – txuvaxera" lang="cv" hreflang="cv" data-title="Куб" data-language-autonym="Чӑвашла" data-language-local-name="txuvaxera" 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 – galesa" lang="cy" hreflang="cy" data-title="Ciwb" data-language-autonym="Cymraeg" data-language-local-name="galesa" 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 – daniera" lang="da" hreflang="da" data-title="Terning" data-language-autonym="Dansk" data-language-local-name="daniera" 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) – alemana" lang="de" hreflang="de" data-title="Würfel (Geometrie)" data-language-autonym="Deutsch" data-language-local-name="alemana" 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 – greziera" lang="el" hreflang="el" data-title="Κύβος" data-language-autonym="Ελληνικά" data-language-local-name="greziera" 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 – ingelesa" lang="en" hreflang="en" data-title="Cube" data-language-autonym="English" data-language-local-name="ingelesa" 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) – esperantoa" lang="eo" hreflang="eo" data-title="Kubo (geometrio)" data-language-autonym="Esperanto" data-language-local-name="esperantoa" 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 – gaztelania" lang="es" hreflang="es" data-title="Cubo" data-language-autonym="Español" data-language-local-name="gaztelania" 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 – estoniera" lang="et" hreflang="et" data-title="Kuup" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</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 – persiera" lang="fa" hreflang="fa" data-title="مکعب" data-language-autonym="فارسی" data-language-local-name="persiera" 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 – finlandiera" lang="fi" hreflang="fi" data-title="Kuutio" data-language-autonym="Suomi" data-language-local-name="finlandiera" 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 – frantsesa" lang="fr" hreflang="fr" data-title="Cube" data-language-autonym="Français" data-language-local-name="frantsesa" 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) – iparraldeko frisiera" lang="frr" hreflang="frr" data-title="Tiarling (Geometrii)" data-language-autonym="Nordfriisk" data-language-local-name="iparraldeko frisiera" 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 – irlandera" lang="ga" hreflang="ga" data-title="Ciúb" data-language-autonym="Gaeilge" data-language-local-name="irlandera" 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 – Gan" lang="gan" hreflang="gan" data-title="立方體" data-language-autonym="贛語" data-language-local-name="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 – galiziera" lang="gl" hreflang="gl" data-title="Cubo" data-language-autonym="Galego" data-language-local-name="galiziera" 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 – gujaratera" lang="gu" hreflang="gu" data-title="સમઘન" data-language-autonym="ગુજરાતી" data-language-local-name="gujaratera" 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 – hebreera" lang="he" hreflang="he" data-title="קובייה" data-language-autonym="עברית" data-language-local-name="hebreera" 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) – hindia" lang="hi" hreflang="hi" data-title="घन (ज्यामिति)" data-language-autonym="हिन्दी" data-language-local-name="hindia" 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 – kroaziera" lang="hr" hreflang="hr" data-title="Kocka" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" 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 – hungariera" lang="hu" hreflang="hu" data-title="Kocka" data-language-autonym="Magyar" data-language-local-name="hungariera" 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 – armeniera" lang="hy" hreflang="hy" data-title="Խորանարդ" data-language-autonym="Հայերեն" data-language-local-name="armeniera" 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 – indonesiera" lang="id" hreflang="id" data-title="Kubus" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" 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 – idoa" lang="io" hreflang="io" data-title="Kubo" data-language-autonym="Ido" data-language-local-name="idoa" 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 – italiera" lang="it" hreflang="it" data-title="Cubo" data-language-autonym="Italiano" data-language-local-name="italiera" 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 – japoniera" lang="ja" hreflang="ja" data-title="正六面体" data-language-autonym="日本語" data-language-local-name="japoniera" 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 – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Kyuub" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" 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 – javera" lang="jv" hreflang="jv" data-title="Kubuk" data-language-autonym="Jawa" data-language-local-name="javera" 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 – georgiera" lang="ka" hreflang="ka" data-title="კუბი" data-language-autonym="ქართული" data-language-local-name="georgiera" 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 – kazakhera" lang="kk" hreflang="kk" data-title="Куб" data-language-autonym="Қазақша" data-language-local-name="kazakhera" 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 – koreera" lang="ko" hreflang="ko" data-title="정육면체" data-language-autonym="한국어" data-language-local-name="koreera" 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 – kirgizera" lang="ky" hreflang="ky" data-title="Куб" data-language-autonym="Кыргызча" data-language-local-name="kirgizera" 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 – latina" lang="la" hreflang="la" data-title="Cubus" data-language-autonym="Latina" data-language-local-name="latina" 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 – luxenburgera" lang="lb" hreflang="lb" data-title="Wierfel" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxenburgera" 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 – laosera" lang="lo" hreflang="lo" data-title="ລູກບາດ" data-language-autonym="ລາວ" data-language-local-name="laosera" 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 – lituaniera" lang="lt" hreflang="lt" data-title="Kubas" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" 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 – letoniera" lang="lv" hreflang="lv" data-title="Kubs" data-language-autonym="Latviešu" data-language-local-name="letoniera" 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 – mokxera" lang="mdf" hreflang="mdf" data-title="Кубсь" data-language-autonym="Мокшень" data-language-local-name="mokxera" 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) – malgaxea" lang="mg" hreflang="mg" data-title="Goba (jeômetria)" data-language-autonym="Malagasy" data-language-local-name="malgaxea" 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 – mazedoniera" lang="mk" hreflang="mk" data-title="Коцка" data-language-autonym="Македонски" data-language-local-name="mazedoniera" 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 – malabarera" lang="ml" hreflang="ml" data-title="സമചതുരക്കട്ട" data-language-autonym="മലയാളം" data-language-local-name="malabarera" 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) – marathera" lang="mr" hreflang="mr" data-title="घन (भूमिती)" data-language-autonym="मराठी" data-language-local-name="marathera" 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 – malaysiera" lang="ms" hreflang="ms" data-title="Kubus" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" 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) – behe-alemana" lang="nds" hreflang="nds" data-title="Wörpel (Geometrie)" data-language-autonym="Plattdüütsch" data-language-local-name="behe-alemana" 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) – nederlandera" lang="nl" hreflang="nl" data-title="Kubus (ruimtelijke figuur)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" 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 – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Kube" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" 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 – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Kube" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" 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 – okzitaniera" lang="oc" hreflang="oc" data-title="Cube" data-language-autonym="Occitan" data-language-local-name="okzitaniera" 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 – oromoera" lang="om" hreflang="om" data-title="Garjii" data-language-autonym="Oromoo" data-language-local-name="oromoera" 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) – punjabera" lang="pa" hreflang="pa" data-title="ਘਣ (ਖੇਤਰਮਿਤੀ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabera" 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) – poloniera" lang="pl" hreflang="pl" data-title="Sześcian (geometria)" data-language-autonym="Polski" data-language-local-name="poloniera" 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 – Piedmontese" lang="pms" hreflang="pms" data-title="Cubo" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" 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) – paxtunera" lang="ps" hreflang="ps" data-title="درېيځ (مېچپوهنه)" data-language-autonym="پښتو" data-language-local-name="paxtunera" 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 – portugesa" lang="pt" hreflang="pt" data-title="Cubo" data-language-autonym="Português" data-language-local-name="portugesa" 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 – kitxua" lang="qu" hreflang="qu" data-title="Mach'ina" data-language-autonym="Runa Simi" data-language-local-name="kitxua" 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 – errumaniera" lang="ro" hreflang="ro" data-title="Cub" data-language-autonym="Română" data-language-local-name="errumaniera" 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 – errusiera" lang="ru" hreflang="ru" data-title="Куб" data-language-autonym="Русский" data-language-local-name="errusiera" 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 – sakhera" lang="sah" hreflang="sah" data-title="Куб" data-language-autonym="Саха тыла" data-language-local-name="sakhera" 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 – siziliera" lang="scn" hreflang="scn" data-title="Cubbu" data-language-autonym="Sicilianu" data-language-local-name="siziliera" 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 – eskoziera" lang="sco" hreflang="sco" data-title="Cube" data-language-autonym="Scots" data-language-local-name="eskoziera" 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 – iparraldeko samiera" lang="se" hreflang="se" data-title="Guđahas" data-language-autonym="Davvisámegiella" data-language-local-name="iparraldeko samiera" 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 – serbokroaziera" lang="sh" hreflang="sh" data-title="Kocka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" 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 – sinhala" lang="si" hreflang="si" data-title="ඝනකය" data-language-autonym="සිංහල" data-language-local-name="sinhala" 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 – eslovakiera" lang="sk" hreflang="sk" data-title="Kocka" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" 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 – esloveniera" lang="sl" hreflang="sl" data-title="Kocka" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" 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) – somaliera" lang="so" hreflang="so" data-title="Sedjibeke (shaxan)" data-language-autonym="Soomaaliga" data-language-local-name="somaliera" 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) – albaniera" lang="sq" hreflang="sq" data-title="Kubi (gjeometri)" data-language-autonym="Shqip" data-language-local-name="albaniera" 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 – serbiera" lang="sr" hreflang="sr" data-title="Коцка" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" 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 – sundanera" lang="su" hreflang="su" data-title="Kubes" data-language-autonym="Sunda" data-language-local-name="sundanera" 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 – suediera" lang="sv" hreflang="sv" data-title="Kub" data-language-autonym="Svenska" data-language-local-name="suediera" 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 – swahilia" lang="sw" hreflang="sw" data-title="Mchemraba" data-language-autonym="Kiswahili" data-language-local-name="swahilia" 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 – tamilera" lang="ta" hreflang="ta" data-title="கனசதுரம்" data-language-autonym="தமிழ்" data-language-local-name="tamilera" 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 – telugua" lang="te" hreflang="te" data-title="క్యూబ్" data-language-autonym="తెలుగు" data-language-local-name="telugua" 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 – thailandiera" lang="th" hreflang="th" data-title="ทรงลูกบาศก์" data-language-autonym="ไทย" data-language-local-name="thailandiera" 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 – turkiera" lang="tr" hreflang="tr" data-title="Küp" data-language-autonym="Türkçe" data-language-local-name="turkiera" 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 – ukrainera" lang="uk" hreflang="uk" data-title="Куб" data-language-autonym="Українська" data-language-local-name="ukrainera" 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 – urdua" lang="ur" hreflang="ur" data-title="مکعب" data-language-autonym="اردو" data-language-local-name="urdua" 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 – uzbekera" lang="uz" hreflang="uz" data-title="Kub" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" 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 – vietnamera" lang="vi" hreflang="vi" data-title="Khối lập phương" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" 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 – warayera" lang="war" hreflang="war" data-title="Kubo" data-language-autonym="Winaray" data-language-local-name="warayera" 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 – wu txinera" lang="wuu" hreflang="wuu" data-title="立方体" data-language-autonym="吴语" data-language-local-name="wu txinera" 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 – txinera" lang="zh" hreflang="zh" data-title="立方體" data-language-autonym="中文" data-language-local-name="txinera" 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 – Minnan" lang="nan" hreflang="nan" data-title="Chiàⁿ lio̍k-biān-thé" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" 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 – kantonera" lang="yue" hreflang="yue" data-title="正方體" data-language-autonym="粵語" data-language-local-name="kantonera" 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 – zuluera" lang="zu" hreflang="zu" data-title="IGcikiva" data-language-autonym="IsiZulu" data-language-local-name="zuluera" 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="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</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="Izen-tarteak"> <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/Kubo" title="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Eztabaida:Kubo&action=edit&redlink=1" rel="discussion" class="new" title="Artikuluari buruzko eztabaida (sortu gabe) [t]" accesskey="t"><span>Eztabaida</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="Aldatu hizkuntza aldaera" > <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">euskara</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="Ikusketak"> <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/Kubo"><span>Irakurri</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Kubo&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Kubo&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Kubo&action=history" title="Artikulu honen aurreko bertsioak. [h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <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">Tresnak</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">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </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/Kubo"><span>Irakurri</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Kubo&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Kubo&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Kubo&action=history"><span>Ikusi historia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Orokorra </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Berezi:ZerkLotzenDuHona/Kubo" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Kubo" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Kubo&oldid=9982151" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Kubo&action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&page=Kubo&id=9982151&wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FKubo"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FKubo"><span>QR kodea jaitsi</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"> Inprimatu/esportatu </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=Berezi:Book&bookcmd=book_creator&referer=Kubo"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&page=Kubo&action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Kubo&printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</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"> Beste proiektuetan </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>Wikimedia 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="Datuen biltegi elementu batera lotuta [g]" accesskey="g"><span>Wikidata itema</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itxura"> <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">Itxura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ezkutatu</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">Wikipedia, Entziklopedia askea</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="eu" dir="ltr"><table class="wikitable" align="right" style="margin-left:10px" width="250"> <tbody><tr> <th bgcolor="#e7dcc3" colspan="2">Kuboa - Hexaedro erregularra </th></tr> <tr> <td align="center" colspan="2"><span typeof="mw:File"><a href="/wiki/Fitxategi:Hexahedron.gif" class="mw-file-description" title="Kuboa"><img alt="Kuboa" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/Hexahedron.gif/120px-Hexahedron.gif" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/Hexahedron.gif/180px-Hexahedron.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/48/Hexahedron.gif/240px-Hexahedron.gif 2x" data-file-width="256" data-file-height="256" /></a></span> </td></tr> <tr> <td bgcolor="#e7dcc3">Taldea </td> <td align="center"><a href="/wiki/Solido_platoniko" title="Solido platoniko">Solido platonikoa</a> </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Aurpegi_(geometria)" title="Aurpegi (geometria)">Aurpegi</a> kopurua </td> <td align="center">6 </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Ertz_(geometria)" title="Ertz (geometria)">Ertz</a> kopurua </td> <td align="center">12 </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Erpin_(geometria)" title="Erpin (geometria)">Erpin</a> kopurua </td> <td align="center">8 </td></tr> <tr> <td bgcolor="#e7dcc3">Aurpegiak </td> <td align="center"><a href="/wiki/Karratu" title="Karratu">Karratuak</a> </td></tr> <tr> <td bgcolor="#e7dcc3">Ertzak erpineko </td> <td align="center">3 </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Simetria-talde" title="Simetria-talde">Simetria-taldea</a> </td> <td align="center">Oktaedrikoa (<i>O</i><sub><i>h</i></sub>) </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Schl%C3%A4fli_sinbolo" title="Schläfli sinbolo">schläfli-sinboloa</a> </td> <td align="center">{4,3} </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Angelu_diedro" title="Angelu diedro">Angelu diedroa</a> </td> <td align="center">90° </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Poliedro_dual" title="Poliedro dual">Poliedro duala</a> </td> <td align="center"><a href="/wiki/Oktaedro" title="Oktaedro">Oktaedroa</a> </td></tr> <tr> <td align="center" colspan="2"><span typeof="mw:File"><a href="/wiki/Fitxategi:Hexahedron_flat_color.svg" class="mw-file-description" title="Kubo"><img alt="Kubo" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/240px-Hexahedron_flat_color.svg.png" decoding="async" width="240" height="314" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/360px-Hexahedron_flat_color.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/480px-Hexahedron_flat_color.svg.png 2x" data-file-width="171" data-file-height="224" /></a></span><br /><a href="/w/index.php?title=Garapen_(poliedroa)&action=edit&redlink=1" class="new" title="Garapen (poliedroa) (sortu gabe)">Garapena</a> </td></tr></tbody></table> <p><b>Kuboa</b> edo <b>hexaedro erregularra</b> sei <a href="/wiki/Aurpegi_(geometria)" title="Aurpegi (geometria)">aurpegi</a> dituen <a href="/wiki/Poliedro" title="Poliedro">poliedroa</a> da. Sei aurpegi horiek berdinak dira, <a href="/wiki/Karratu" title="Karratu">karratuak</a>, hain zuzen. Ondorioz, kuboaren <a href="/wiki/Luzera_(geometria)" title="Luzera (geometria)">luzera</a>, zabalera eta garaiera berdinak dira. </p><p>Kuboak sei aurpegi, zortzi erpin eta hamabi ertz ditu. <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> Horregatik, gainerako <a href="/wiki/Solido_platoniko" title="Solido platoniko">solido platonikoek</a> bezala, poliedroetarako <a href="/wiki/Eulerren_erlazio" title="Eulerren erlazio">Eulerren erlazioa</a> betetzen du, hau da, </p><p><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 Aurpegikopurua+Erpinkopurua=Ertzkopurua+2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mi>u</mi> <mi>r</mi> <mi>p</mi> <mi>e</mi> <mi>g</mi> <mi>i</mi> <mi>k</mi> <mi>o</mi> <mi>p</mi> <mi>u</mi> <mi>r</mi> <mi>u</mi> <mi>a</mi> <mo>+</mo> <mi>E</mi> <mi>r</mi> <mi>p</mi> <mi>i</mi> <mi>n</mi> <mi>k</mi> <mi>o</mi> <mi>p</mi> <mi>u</mi> <mi>r</mi> <mi>u</mi> <mi>a</mi> <mo>=</mo> <mi>E</mi> <mi>r</mi> <mi>t</mi> <mi>z</mi> <mi>k</mi> <mi>o</mi> <mi>p</mi> <mi>u</mi> <mi>r</mi> <mi>u</mi> <mi>a</mi> <mo>+</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Aurpegikopurua+Erpinkopurua=Ertzkopurua+2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f53aa9020673937fee49a6daf2776dc8c7645f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:54.516ex; height:2.509ex;" alt="{\displaystyle Aurpegikopurua+Erpinkopurua=Ertzkopurua+2}" /></span> </p><p>Hainbat solido motaren adibidea da: solido platonikoa<b>,</b> poliedro erregularra, paraleloedroa eta zonoedroa. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Propietate_orokorrak">Propietate orokorrak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=1" title="Aldatu atal hau: «Propietate orokorrak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=1" title="Edit section's source code: Propietate orokorrak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kuboa ertz guztiak luzera berekoak dituen <a href="/wiki/Ortoedro" title="Ortoedro">ortoedroaren</a> kasu berezia da. Gainontzeko ortoedroen kasuan bezala, kuboaren aurpegi bakoitzak lau erpin ditu, eta horietako bakoitza hiru lerro kongruenterekin konektatzen da. Horrela, ertz horiek aurpegi karratuak osatzen dituzte. Ondoko bi karraturen arteko kubo baten angelu diedroa 90º-koa dela berehala ikusten da, angelua bat baitator karratu baten barne-angeluarekin.<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> <div class="mw-heading mw-heading3"><h3 id="Azalera">Azalera</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=2" title="Aldatu atal hau: «Azalera»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=2" title="Edit section's source code: Azalera"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><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=6a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mn>6</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=6a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d304087e23006ca107b5bb367b5d44939a8bedc2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.288ex; height:2.676ex;" alt="{\displaystyle A=6a^{2}}" /></span> </p><p>Azaleraren kalkuluari dagokionez, kuboaren aurpegi guztien neurria berdina izatea oso baliagarria da. Kuboak karratu formako sei aurpegi ditu; karratuak direnez, euren alde guztiek luzera bera dute. Izan bedi a luzera hori. Karratuaren azalera oinarriaren luzera eta altueraren luzera biderkatuz lortzen da. Hortaz, karratuaren azalera <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*a=a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>∗</mo> <mi>a</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a*a=a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f93d6ace064ecdc69dad045b7f1eb9f9aa36ed5d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.037ex; height:2.676ex;" alt="{\displaystyle a*a=a^{2}}" /></span> izango da. Sei aurpegi berdin dituenez kuboak, bere azalera totala lortzeko nahikoa da aurpegi baten azalera sei aldiz batzea. Horrela, kuboaren azalera totala <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^{2}+a^{2}+a^{2}+a^{2}+a^{2}+a^{2}=6a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>6</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+a^{2}+a^{2}+a^{2}+a^{2}+a^{2}=6a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b38dcafdf2d0b647c066dfdabf2e16b51a6f4ab5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:34.451ex; height:2.843ex;" alt="{\displaystyle a^{2}+a^{2}+a^{2}+a^{2}+a^{2}+a^{2}=6a^{2}}" /></span> dela lortzen da. <sup id="cite_ref-:0_3-0" class="reference"><a href="#cite_note-:0-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Bolumena">Bolumena</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=3" title="Aldatu atal hau: «Bolumena»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=3" title="Edit section's source code: Bolumena"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><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=a^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a1d37ad62cf68522c2e7c145842c1c6d8f8e315" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.126ex; height:2.676ex;" alt="{\displaystyle A=a^{3}}" /></span> </p><p>Bolumena kalkulatzeko ere kuboaren hainbat propietate oso baliagarriak dira. Hasteko, kontuan izan behar da, kuboa ortoedroa denez, bere bolumena kalkulatzeko nahikoa dela bere hiru norabideetako aldeen biderketa egitea, zabaleraren, altueraren eta sakoneraren artekoa, hain zuzen ere. Gainera, zabalera eta altuera biderkatzean funtsean aurpegietako baten azalera kalkulatzen ari garenez, bereahalakoa da kuboaren oinarriaren azalera <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^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f564e5dc0b6e68af32ca8614e972f5b36e944a24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{2}}" /></span> dela. Azkenik, bolumena lortzeko, nahikoa da azalera horri sakonera ematea; izan ere, kuboa, gainontzeko ortoedroak bezala, oinarri baten espaziorako luzapena baino ez da. Zenbat luzatzen den kuboaren sakonerak adierazten duenez, eta sakonera hori ere karratu baten aldea denez, nahikoa da azalera hori <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>-z biderkatzea. Ondorioz, kuboaren bolumena <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^{2}*a=a^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>∗</mo> <mi>a</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}*a=a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc9b6b7fbca19d9d20db3474ab02459292e26067" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.091ex; height:2.676ex;" alt="{\displaystyle a^{2}*a=a^{3}}" /></span> da, non <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> bere aldeen luzera den. <sup id="cite_ref-:0_3-1" class="reference"><a href="#cite_note-:0-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Karratuari sakonera ematearen ideia garatzen jarraituz, integralen bidez ere posible da kuboaren azalera lortzea. Izatez, zuzen bat lortzeko nahikoa da puntu bati luzera ematea, gero karratu bihurtzeko zuzenari zabalera ematea nahikoa den bezala. Azkenik, karratuari sakonera emanez, kuboa osatuko litzateke. Beraz, kuboaren bolumenaren kalkulua integralen bitartez honakoa litzateke: </p><p><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 \int _{0}^{a}\int _{0}^{a}\int _{0}^{a}dxdydz=\int _{0}^{a}\int _{0}^{a}adydz=\int _{0}^{a}a^{2}dz=a^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> <mi>d</mi> <mi>z</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <mi>a</mi> <mi>d</mi> <mi>y</mi> <mi>d</mi> <mi>z</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msubsup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>d</mi> <mi>z</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{0}^{a}\int _{0}^{a}\int _{0}^{a}dxdydz=\int _{0}^{a}\int _{0}^{a}adydz=\int _{0}^{a}a^{2}dz=a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f345e71f579b6ff1a827da1f320fe3b066d0699" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:53.012ex; height:5.843ex;" alt="{\displaystyle \int _{0}^{a}\int _{0}^{a}\int _{0}^{a}dxdydz=\int _{0}^{a}\int _{0}^{a}adydz=\int _{0}^{a}a^{2}dz=a^{3}}" /></span> </p><p>Lehen integralaren bitartez zuzenaren luzera lortzen da, bigarrenaren bidez karratuaren azalera eta hirugarrenari esker kuboaren bolumena. </p> <div class="mw-heading mw-heading2"><h2 id="Elementuak">Elementuak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=4" title="Aldatu atal hau: «Elementuak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=4" title="Edit section's source code: Elementuak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Aurpegi">Aurpegi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=5" title="Aldatu atal hau: «Aurpegi»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=5" title="Edit section's source code: Aurpegi"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Aurpegia kuboa mugatzen duten eskualdeetako bakoitza da. Kuboaren kasuan, aurpegiak karratuak dira eta, guztira, sei dira. Aurpegi bakoitzak beste lau aurpegi ditu ondoan, hau da, beste aurpegi guztiak, kontrako aurpegia izan ezik. Hori dela eta, kontrako hiru aurpegi-pare daude kuboetan. </p> <div class="mw-heading mw-heading3"><h3 id="Ertz">Ertz</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=6" title="Aldatu atal hau: «Ertz»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=6" title="Edit section's source code: Ertz"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Ertz_(geometria)" title="Ertz (geometria)">Ertza</a> bi aurpegiren elkarketak osatzen duen <a href="/wiki/Lerro_(geometria)" title="Lerro (geometria)">lerro</a> <a href="/wiki/Zuzen_(geometria)" title="Zuzen (geometria)">zuzena</a> da, eta guztira kuboak hamabi ertz ditu. <sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Erpin">Erpin</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=7" title="Aldatu atal hau: «Erpin»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=7" title="Edit section's source code: Erpin"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ertzen (bi edo gehiagoren) arteko ebakipuntua <a href="/wiki/Erpin_(geometria)" title="Erpin (geometria)">erpina</a> da. Kuboaren kasuan, hiru aurpegik edo hiru ertzek duten puntu komuna da erpina. Guztira, kuboek zortzi erpin dituzte. </p> <div class="mw-heading mw-heading3"><h3 id="Diagonal">Diagonal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=8" title="Aldatu atal hau: «Diagonal»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=8" title="Edit section's source code: Diagonal"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kontrako bi aurpegi hartzen baditugu, lehenengo aurpegiko erpin batetik bigarren aurpegiko kontrako erpinera doan zuzena kuboaren <a href="/wiki/Diagonal_(geometria)" title="Diagonal (geometria)">diagonala</a> da. Guztira, lau diagonal izango ditu kuboak eta denak puntu batean ebakiko dira. Diagonal horien luzeraren kalkulua Pitagorasen teoremaren bidez egin daiteke: </p><p><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 d={\sqrt {a^{2}+a^{2}+a^{2}}}={\sqrt {3a^{2}}}={\sqrt {3}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d={\sqrt {a^{2}+a^{2}+a^{2}}}={\sqrt {3a^{2}}}={\sqrt {3}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4653ea12bed7d30f4ea2957037631b9f351d689" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:35.466ex; height:3.509ex;" alt="{\displaystyle d={\sqrt {a^{2}+a^{2}+a^{2}}}={\sqrt {3a^{2}}}={\sqrt {3}}a}" /></span> </p><p>non <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> kuboaren ertzen luzera den. </p> <div class="mw-heading mw-heading3"><h3 id="Zentro">Zentro</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=9" title="Aldatu atal hau: «Zentro»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=9" title="Edit section's source code: Zentro"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Zentro_(geometria)" title="Zentro (geometria)">Zentroa</a> kuboaren diagonalen ebakidurako puntua da. Bestalde, simetria-zentroa da. </p> <div class="mw-heading mw-heading2"><h2 id="Kuboaren_topologia">Kuboaren topologia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=10" title="Aldatu atal hau: «Kuboaren topologia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=10" title="Edit section's source code: Kuboaren topologia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Konbexutasun">Konbexutasun</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=11" title="Aldatu atal hau: «Konbexutasun»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=11" title="Edit section's source code: Konbexutasun"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kuboa poliedro konbexua da; horrek esan nahi du, kuboaren aurpegietako bat barruan duen planoa hartuz gero, kuboa plano horrek mugatzen dituen espazioerdietako bakar batean geratzen dela. Are gehiago, kuboa aurpegi guztiak karratuak dituen <a href="/wiki/Poliedro_konbexu" class="mw-redirect" title="Poliedro konbexu">poliedro konbexu</a> bakarra da. </p> <div class="mw-heading mw-heading3"><h3 id="Barrualde">Barrualde</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=12" title="Aldatu atal hau: «Barrualde»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=12" title="Edit section's source code: Barrualde"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kuboaren barrualdea haren mugen barruan dauden puntu guztien multzoa da, gainazala baztertuta. Kontrako bi erpin <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 (x_{1},y_{1},z_{1})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{1},y_{1},z_{1})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/781d7569148878d5fab8e65498162edcc5430791" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.59ex; height:2.843ex;" alt="{\displaystyle (x_{1},y_{1},z_{1})}" /></span> eta <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 (x_{2},y_{2},z_{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{2},y_{2},z_{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b6c761bb04bd0bf983b9b8e83310e5407b7426ad" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.59ex; height:2.843ex;" alt="{\displaystyle (x_{2},y_{2},z_{2})}" /></span> koordenatuen bidez adierazten baditugu, honela adieraz daiteke barrualdea: </p><p><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 Barrualdea(C)=\{(x,y,z)\in R^{3}:x_{1}<x<x_{2},y_{1}<y<y_{2},z_{1}<z<z_{2}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mi>a</mi> <mi>r</mi> <mi>r</mi> <mi>u</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>e</mi> <mi>a</mi> <mo stretchy="false">(</mo> <mi>C</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> <mo>∈</mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>:</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <mi>x</mi> <mo><</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <mi>y</mi> <mo><</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <mi>z</mi> <mo><</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Barrualdea(C)=\{(x,y,z)\in R^{3}:x_{1}<x<x_{2},y_{1}<y<y_{2},z_{1}<z<z_{2}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/43be39a219b780bb1455c5fc23801cd99cecd31f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:73.576ex; height:3.176ex;" alt="{\displaystyle Barrualdea(C)=\{(x,y,z)\in R^{3}:x_{1}<x<x_{2},y_{1}<y<y_{2},z_{1}<z<z_{2}\}}" /></span> </p> <div class="mw-heading mw-heading3"><h3 id="Muga">Muga</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=13" title="Aldatu atal hau: «Muga»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=13" title="Edit section's source code: Muga"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kuboaren aurpegietan dauden puntu guztien bildurari kuboaren muga esaten zaio. </p> <div class="mw-heading mw-heading3"><h3 id="Kanpoalde">Kanpoalde</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=14" title="Aldatu atal hau: «Kanpoalde»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=14" title="Edit section's source code: Kanpoalde"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Puntu bat ez baldin badago barrualdean ezta mugan ere, kanpoko puntua da. Kanpoko puntuen multzoari kanpoaldea deritzo. Barrualdearen, kanpoaldearen eta mugaren bildurak espazio osoa osatzen du. Gainera, multzo horiek <a href="/wiki/Multzo_disjuntu" title="Multzo disjuntu">disjuntuak</a> dira. Kontrako bi erpin (x₁, y₁, z₁) eta (x₂, y₂, z₂) koordenatuen bidez adieraziz gero, honela defini daiteke kanpoaldea: </p><p><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 Kanpoaldea(C)=\{(x,y,z)\in R^{3}:x_{1}\leq x\leq x_{2},y_{1}\leq y\leq y_{2},z_{1}\leq z\leq z_{2}\ betetzen\ ez\ denean\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mi>a</mi> <mi>n</mi> <mi>p</mi> <mi>o</mi> <mi>a</mi> <mi>l</mi> <mi>d</mi> <mi>e</mi> <mi>a</mi> <mo stretchy="false">(</mo> <mi>C</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> <mo>∈</mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>:</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>≤</mo> <mi>x</mi> <mo>≤</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>≤</mo> <mi>y</mi> <mo>≤</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>≤</mo> <mi>z</mi> <mo>≤</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mtext> </mtext> <mi>b</mi> <mi>e</mi> <mi>t</mi> <mi>e</mi> <mi>t</mi> <mi>z</mi> <mi>e</mi> <mi>n</mi> <mtext> </mtext> <mi>e</mi> <mi>z</mi> <mtext> </mtext> <mi>d</mi> <mi>e</mi> <mi>n</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Kanpoaldea(C)=\{(x,y,z)\in R^{3}:x_{1}\leq x\leq x_{2},y_{1}\leq y\leq y_{2},z_{1}\leq z\leq z_{2}\ betetzen\ ez\ denean\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aee725ab11f8fc8f3bf3ca3a05470a93e4e08ab3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:93.869ex; height:3.176ex;" alt="{\displaystyle Kanpoaldea(C)=\{(x,y,z)\in R^{3}:x_{1}\leq x\leq x_{2},y_{1}\leq y\leq y_{2},z_{1}\leq z\leq z_{2}\ betetzen\ ez\ denean\}}" /></span> </p> <div class="mw-heading mw-heading3"><h3 id="Multzo_ireki">Multzo ireki</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=15" title="Aldatu atal hau: «Multzo ireki»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=15" title="Edit section's source code: Multzo ireki"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Espazioko puntuen multzoa irekia da baldin eta, bertako edozein puntu hartuz gero, posible bada puntua barne duen eta multzotik ateratzen ez den esfera bat marraztea. Adibidez, barrualdea eta kanpoaldea multzo irekiak dira. </p> <div class="mw-heading mw-heading3"><h3 id="Konexutasun">Konexutasun</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=16" title="Aldatu atal hau: «Konexutasun»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=16" title="Edit section's source code: Konexutasun"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kuboa gorputz konexua da, hau da, pieza bakarrekoa. Izan ere, ezin dira ebakidura hutseko bi multzo ireki egon haien bildura kubo osoa denik. </p> <div class="mw-heading mw-heading2"><h2 id="Agerpenak">Agerpenak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=17" title="Aldatu atal hau: «Agerpenak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=17" title="Edit section's source code: Agerpenak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Antzinaroan">Antzinaroan</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=18" title="Aldatu atal hau: «Antzinaroan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=18" title="Edit section's source code: Antzinaroan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Plato_Silanion_Musei_Capitolini_MC1377.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Plato_Silanion_Musei_Capitolini_MC1377.jpg/129px-Plato_Silanion_Musei_Capitolini_MC1377.jpg" decoding="async" width="129" height="194" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Plato_Silanion_Musei_Capitolini_MC1377.jpg/194px-Plato_Silanion_Musei_Capitolini_MC1377.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Plato_Silanion_Musei_Capitolini_MC1377.jpg/258px-Plato_Silanion_Musei_Capitolini_MC1377.jpg 2x" data-file-width="2400" data-file-height="3600" /></a><figcaption><a href="/wiki/Platon" title="Platon">Platon</a></figcaption></figure> <p><a href="/wiki/Solido_platoniko" title="Solido platoniko">Solido platonikoa</a> antzinatik ezagutzen den poliedro multzoa da. <a href="/wiki/Platon" title="Platon">Platonek</a> bere <i><a href="/w/index.php?title=Timaeus&action=edit&redlink=1" class="new" title="Timaeus (sortu gabe)">Timaeus</a></i> elkarrizketan izendatu zituen, eta bertan naturarekin erlazionatzen zituen. Horietako batek, kuboak, <a href="/wiki/Lurra" title="Lurra">Lurraren</a> <a href="/wiki/Elementu_klasikoak" title="Elementu klasikoak">elementu klasikoa</a> irudikatzen zuen, bere egonkortasuna zela eta. <sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Euklidesen_Elementuak" title="Euklidesen Elementuak">Euklidesen <i>elementuak</i></a> liburuak solido platonikoak definitzen zituen, kuboa barne, eta solido horiek erabili zituen esfera zirkunskribatuaren diametroaren eta ertzaren luzeraren arteko erlazioa aurkitzeko. <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>Johannes Keplerrek, bere <a href="/w/index.php?title=Harmonices_Mundi&action=edit&redlink=1" class="new" title="Harmonices Mundi (sortu gabe)"><i>Harmonices Mundi</i></a> liburuan, solido platoniko bakoitza aipatzen zuen, horietako bat kuboa izanik. Hain zuzen, Keplerrek zuhaitz bat irudikatzen zuen kuboaren gainean. Gainera, bere <a href="/w/index.php?title=Mysterium_Cosmographicum&action=edit&redlink=1" class="new" title="Mysterium Cosmographicum (sortu gabe)"><i>Mysterium Cosmographicum</i></a> lanean, Keplerrek, bata bestearen barnean ezarritako solido platonikoak erabiliz, planetak irudikatuko zituzten sei esferaz osatutako <a href="/wiki/Eguzki-sistema" title="Eguzki-sistema">eguzki-sistema</a> bat proposatu zuen. Honela ordenatu zituen solidoak (barrutik kanpora hartuz): <a href="/wiki/Oktaedro" title="Oktaedro">oktaedro</a> erregularra, <a href="/wiki/Ikosaedro" title="Ikosaedro">ikosaedro</a> erregularra, <a href="/wiki/Dodekaedro" title="Dodekaedro">dodekaedro</a> erregularra, <a href="/wiki/Tetraedro" title="Tetraedro">tetraedro</a> erregularra eta kuboa. </p> <div class="mw-heading mw-heading3"><h3 id="Poliedroetan">Poliedroetan</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=19" title="Aldatu atal hau: «Poliedroetan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=19" title="Edit section's source code: Poliedroetan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Rubik%27s_cube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/151px-Rubik%27s_cube.svg.png" decoding="async" width="151" height="157" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/227px-Rubik%27s_cube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/301px-Rubik%27s_cube.svg.png 2x" data-file-width="480" data-file-height="500" /></a><figcaption><a href="/wiki/Rubiken_kuboa" title="Rubiken kuboa">Rubiken kuboa</a></figcaption></figure> <p>Kuboa poliedro ez-konposatu bat da, hau da, ezin da bi poliedro erregularretan edo gehiagotan bereizi. Horregatik, kuboa poliedro konbexu berri bat eraikitzeko erabil daiteke, beste poliedro ez-konposatu batekin lotuz, adibidez. </p> <div class="mw-heading mw-heading3"><h3 id="Jokoetan">Jokoetan</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=20" title="Aldatu atal hau: «Jokoetan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=20" title="Edit section's source code: Jokoetan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kubo formako objektuak ohikoak dira jokoetan. Horren adibide dira, besteak beste, dadoa eta Rubiken kuboa. </p> <div class="mw-heading mw-heading3"><h3 id="Arkitekturan">Arkitekturan</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=21" title="Aldatu atal hau: «Arkitekturan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=21" title="Edit section's source code: Arkitekturan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Arkitekturan maiz erabiltzen dira forma kubikoak. Hainbat funtziotarako erabili ohi dira, hala nola egituraren iraunkortasuna bermatzeko edo espazioa aprobetxatzeko. Beste kasu batzuetan, ordea, estetika hutseko funtzioetarako ere erabiltzen dira, eraikinaren itxura harmoniaz aurkezteko, esate baterako. </p><p> Hona hemen kubo itxurako zenbait eraikin ezagun:</p><ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:Berlin_Cube_1.jpg" class="mw-file-description" title="The Cube, Berlin"><img alt="The Cube, Berlin" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Berlin_Cube_1.jpg/200px-Berlin_Cube_1.jpg" decoding="async" width="200" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Berlin_Cube_1.jpg/300px-Berlin_Cube_1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Berlin_Cube_1.jpg/400px-Berlin_Cube_1.jpg 2x" data-file-width="6000" data-file-height="4000" /></a></span></div> <div class="gallerytext">The Cube, Berlin</div> </li> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg" class="mw-file-description" title="Palazzo della Civiltà del Lavoro, Erroma"><img alt="Palazzo della Civiltà del Lavoro, Erroma" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg/200px-20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg" decoding="async" width="200" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg/300px-20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg/400px-20110307_Roma_Palazzo_della_Civilt%C3%A0_Italiana_lato_sx.jpg 2x" data-file-width="2848" data-file-height="1899" /></a></span></div> <div class="gallerytext">Palazzo della Civiltà del Lavoro, Erroma</div> </li> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:San_Cataldo_simmetrica.jpg" class="mw-file-description" title="Cimitero di San Cataldo, Modena"><img alt="Cimitero di San Cataldo, Modena" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/San_Cataldo_simmetrica.jpg/200px-San_Cataldo_simmetrica.jpg" decoding="async" width="200" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/San_Cataldo_simmetrica.jpg/300px-San_Cataldo_simmetrica.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/San_Cataldo_simmetrica.jpg/400px-San_Cataldo_simmetrica.jpg 2x" data-file-width="3983" data-file-height="2655" /></a></span></div> <div class="gallerytext">Cimitero di San Cataldo, Modena</div> </li> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:Stuttgart_city_library_by_night_(15856317887).jpg" class="mw-file-description" title="Liburutegi publikoa, Stuttgart"><img alt="Liburutegi publikoa, Stuttgart" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Stuttgart_city_library_by_night_%2815856317887%29.jpg/200px-Stuttgart_city_library_by_night_%2815856317887%29.jpg" decoding="async" width="200" height="150" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Stuttgart_city_library_by_night_%2815856317887%29.jpg/300px-Stuttgart_city_library_by_night_%2815856317887%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Stuttgart_city_library_by_night_%2815856317887%29.jpg/400px-Stuttgart_city_library_by_night_%2815856317887%29.jpg 2x" data-file-width="3264" data-file-height="2448" /></a></span></div> <div class="gallerytext">Liburutegi publikoa, Stuttgart</div> </li> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:Kaaba,_Makkah3.jpg" class="mw-file-description" title="Kaaba, Makkah"><img alt="Kaaba, Makkah" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Kaaba%2C_Makkah3.jpg/200px-Kaaba%2C_Makkah3.jpg" decoding="async" width="200" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Kaaba%2C_Makkah3.jpg/300px-Kaaba%2C_Makkah3.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Kaaba%2C_Makkah3.jpg/400px-Kaaba%2C_Makkah3.jpg 2x" data-file-width="5184" data-file-height="3456" /></a></span></div> <div class="gallerytext">Kaaba, Makkah</div> </li> <li class="gallerybox" style="width: 235px"> <div class="thumb" style="width: 230px; height: 180px;"><span typeof="mw:File"><a href="/wiki/Fitxategi:Mukaab_Illustration.png" class="mw-file-description" title="Mukaab, Riyadh"><img alt="Mukaab, Riyadh" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Mukaab_Illustration.png/200px-Mukaab_Illustration.png" decoding="async" width="200" height="113" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Mukaab_Illustration.png/300px-Mukaab_Illustration.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/04/Mukaab_Illustration.png/400px-Mukaab_Illustration.png 2x" data-file-width="3000" data-file-height="1691" /></a></span></div> <div class="gallerytext">Mukaab, Riyadh</div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=22" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=22" title="Edit section's source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFJohnson1966-01">Johnson, Norman W..  (1966-01). <a rel="nofollow" class="external text" href="https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/convex-polyhedra-with-regular-faces/5E3FAE0232E2158F93E0A62BB5B1AD39">«Convex Polyhedra with Regular Faces»</a> <i>Canadian Journal of Mathematics</i> 18: 169–200.  <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.4153%2FCJM-1966-021-8">10.4153/CJM-1966-021-8</a></span>. <a href="/wiki/International_Standard_Serial_Number" class="mw-redirect" title="International Standard Serial Number">ISSN</a> <a rel="nofollow" class="external text" href="http://worldcat.org/issn/0008-414X">0008-414X</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFMillsKoll1999-01-13">Mills, Steve; Koll, Hilary.  (1999-01-13). <a rel="nofollow" class="external text" href="https://books.google.es/books?id=dvFfTAR6XwEC&pg=PA16&redir_esc=y#v=onepage&q&f=false"><i>Maths Dictionary. </i></a> Heinemann <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-0-435-02474-1" title="Berezi:BookSources/978-0-435-02474-1">978-0-435-02474-1</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> <li id="cite_note-:0-3">↑ <a href="#cite_ref-:0_3-0"><sup><b>a</b></sup></a> <a href="#cite_ref-:0_3-1"><sup><b>b</b></sup></a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFKhattar2007-02">Khattar.  (2007-02). <a rel="nofollow" class="external text" href="https://books.google.es/books?id=BoBCOYuOlzkC&pg=PA377&redir_esc=y#v=onepage&q&f=false"><i>Guide to Objective Arithmetic. </i></a> Pearson Education India <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-81-317-1682-3" title="Berezi:BookSources/978-81-317-1682-3">978-81-317-1682-3</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"><a rel="nofollow" class="external text" href="https://www.euskaltzaindia.eus/index.php?option=com_hiztegianbilatu&task=bilaketa&Itemid=41&lang=eu-ES&nondik=0&zenbat=50&non=osagaiakHasi&query=ertz&subcMota=&pos=&usgDomain=&usgGeo=&usgBeste=&usgReg=">«EH - Bilaketa - Bilaketa»</a> <i>www.euskaltzaindia.eus</i> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFCromwell1997">Cromwell, Peter R..  (1997). <a rel="nofollow" class="external text" href="https://archive.org/details/polyhedra0000crom/mode/2up"><i>Polyhedra. </i></a> Cambridge, U.K. ; New York, NY, USA : Cambridge University Press <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-0-521-55432-9" title="Berezi:BookSources/978-0-521-55432-9">978-0-521-55432-9</a>. <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> <li id="cite_note-6"><a href="#cite_ref-6">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFEuclidHeathHeiberg1908">Euclid; Heath, Thomas Little; Heiberg, J. L. (Johan Ludvig).  (1908). <a rel="nofollow" class="external text" href="https://archive.org/details/thirteenbookseu03heibgoog/page/480/mode/2up"><i>The thirteen books of Euclid's Elements. </i></a> Cambridge, The University Press <span class="reference-accessdate"><small>(Noiz kontsultatua: 2024-11-27)</small></span></span>.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubo&veaction=edit&section=23" title="Aldatu atal hau: «Kanpo estekak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubo&action=edit&section=23" title="Edit section's source code: Kanpo estekak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="clear:both;"></div><style data-mw-deduplicate="TemplateStyles:r7786466">.mw-parser-output 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style="width:1%;padding-left:0em;padding-right:0em;"><div style="padding:0em 0.75em;"><a href="/wiki/Arkimedesen_solido" title="Arkimedesen solido">Arkimedesen solidoak</a><br />(erdierregularrak)</div></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Tetraedro_moztu" title="Tetraedro moztu">Tetraedro moztua</a>  •  <a href="/wiki/Kuboktaedro" title="Kuboktaedro">Kuboktaedroa</a>  •  <a href="/wiki/Kubo_moztu" title="Kubo moztu">Kubo moztua</a>  •  <a href="/wiki/Oktaedro_moztu" title="Oktaedro moztu">Oktaedro moztua</a>  •  <a href="/wiki/Erronbikuboktaedro" title="Erronbikuboktaedro">Erronbikuboktaedroa</a>  •  <a href="/wiki/Kuboktaedro_moztu" title="Kuboktaedro moztu">Kuboktaedro moztua</a>  •  <a href="/wiki/Kubo_kamuts" title="Kubo kamuts">Kubo kamutsa</a>  •  <a href="/wiki/Ikosidodekaedro" title="Ikosidodekaedro">Ikosidodekaedroa</a>  •  <a href="/wiki/Dodekaedro_moztu" title="Dodekaedro 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txikia</a>  •  <a href="/wiki/Izar-dodekaedro_handi" title="Izar-dodekaedro handi">Izar-dodekaedro handia</a>  •  <a href="/wiki/Ikosaedro_handi" title="Ikosaedro handi">Ikosaedro handia</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;padding-left:0em;padding-right:0em;"><div style="padding:0em 0.75em;">Beste batzuk</div></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Prisma_(geometria)" title="Prisma (geometria)">Prismak</a>  •  <a href="/wiki/Antiprisma" title="Antiprisma">Antiprismak</a>  •  <a href="/wiki/Izar-poliedro_uniforme" title="Izar-poliedro uniforme">Izar-poliedro uniformeak</a></div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Catalanen_solido" title="Catalanen solido">Catalan-en solidoak</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Triakistetraedro" title="Triakistetraedro">Triakistetraedroa</a>  •  <a href="/wiki/Dodekaedro_erronbiko" title="Dodekaedro erronbiko">Dodekaedro erronbikoa</a>  •  <a href="/wiki/Triakisoktaedro" title="Triakisoktaedro">Triakisoktaedroa</a>  •  <a href="/wiki/Tetrakishexaedro" title="Tetrakishexaedro">Tetrakishexaedroa</a>  •  <a href="/wiki/Ikositetraedro_trapezoidal" title="Ikositetraedro trapezoidal">Ikositetraedro trapezoidala</a>  •  <a href="/wiki/Hexakisoktaedro" title="Hexakisoktaedro">Hexakisoktaedroa</a>  •  <a href="/wiki/Ikositetraedro_pentagonal" title="Ikositetraedro pentagonal">Ikositetraedro pentagonala</a>  •  <a href="/wiki/Triakontaedro_erronbiko" title="Triakontaedro erronbiko">Triakontaedro erronbikoa</a>  •  <a href="/wiki/Triakisikosaedro" title="Triakisikosaedro">Triakisikosaedroa</a>  •  <a href="/wiki/Pentakisdodekaedro" title="Pentakisdodekaedro">Pentakisdodekaedroa</a>  •  <a href="/wiki/Hexakontaedro_trapezoidal" title="Hexakontaedro trapezoidal">Hexakontaedro trapezoidala</a>  •  <a href="/wiki/Hexakisikosaedro" title="Hexakisikosaedro">Hexakisikosaedroa</a>  •  <a href="/wiki/Hexakontaedro_pentagonal" title="Hexakontaedro pentagonal">Hexakontaedro pentagonala</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Beste batzuk</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Bipiramide" title="Bipiramide">Bipiramideak</a>  •  <a href="/wiki/Trapezoedro" title="Trapezoedro">Trapezoedroak</a>  •  <a href="/wiki/Piramide_(geometria)" title="Piramide (geometria)">Piramideak</a>  •  <a href="/wiki/Kupula_(geometria)" title="Kupula (geometria)">Kupula</a>  •  <a href="/wiki/Enbor_(geometria)" title="Enbor (geometria)">Enborra</a>  •  <a href="/wiki/Johnsonen_solido" class="mw-redirect" title="Johnsonen solido">Johnson-en solidoak</a>  •  <a 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