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id="toc-Osztályozásuk-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-A_platoni_és_arkhimédészi_testek_periódusos_rendszere" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#A_platoni_és_arkhimédészi_testek_periódusos_rendszere"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>A platoni és arkhimédészi testek periódusos rendszere</span> </div> </a> <ul id="toc-A_platoni_és_arkhimédészi_testek_periódusos_rendszere-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kapcsolódó_szócikkek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kapcsolódó_szócikkek"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Kapcsolódó szócikkek</span> </div> </a> <ul id="toc-Kapcsolódó_szócikkek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Irodalom" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Irodalom"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Irodalom</span> </div> </a> <ul id="toc-Irodalom-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-További_információk" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#További_információk"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>További információk</span> </div> </a> <ul id="toc-További_információk-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="Tartalomjegyzék" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Tartalomjegyzék kinyitása/becsukása" > <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">Tartalomjegyzék kinyitása/becsukása</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">Arkhimédészi testek</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="Ugrás egy más nyelvű szócikkre. Elérhető 35 nyelven" > <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-35" 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">35 nyelv</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Archimedean_solid" title="Archimedean solid – angol" lang="en" hreflang="en" data-title="Archimedean solid" data-language-autonym="English" data-language-local-name="angol" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Archimedische_K%C3%B6rper" title="Archimedische Körper – svájci német" lang="gsw" hreflang="gsw" data-title="Archimedische Körper" data-language-autonym="Alemannisch" data-language-local-name="svájci német" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AC%D8%B3%D9%85_%D8%A3%D8%B1%D8%AE%D9%85%D9%8A%D8%AF%D9%8A" title="مجسم أرخميدي – arab" lang="ar" hreflang="ar" data-title="مجسم أرخميدي" data-language-autonym="العربية" data-language-local-name="arab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4%D0%BE%D0%B2%D0%BE_%D1%82%D1%8F%D0%BB%D0%BE" title="Архимедово тяло – bolgár" lang="bg" hreflang="bg" data-title="Архимедово тяло" data-language-autonym="Български" data-language-local-name="bolgár" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Pol%C3%ADedre_arquimedi%C3%A0" title="Políedre arquimedià – katalán" lang="ca" hreflang="ca" data-title="Políedre arquimedià" data-language-autonym="Català" data-language-local-name="katalán" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Archim%C3%A9dovsk%C3%A9_t%C4%9Bleso" title="Archimédovské těleso – cseh" lang="cs" hreflang="cs" data-title="Archimédovské těleso" data-language-autonym="Čeština" data-language-local-name="cseh" 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%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4_%C4%95%D1%81%D0%BA%D0%B5%D1%80%C4%95" title="Архимед ĕскерĕ – csuvas" lang="cv" hreflang="cv" data-title="Архимед ĕскерĕ" data-language-autonym="Чӑвашла" data-language-local-name="csuvas" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Archimedischer_K%C3%B6rper" title="Archimedischer Körper – német" lang="de" hreflang="de" data-title="Archimedischer Körper" data-language-autonym="Deutsch" data-language-local-name="német" 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%A3%CF%84%CE%B5%CF%81%CE%B5%CF%8C_%CF%84%CE%BF%CF%85_%CE%91%CF%81%CF%87%CE%B9%CE%BC%CE%AE%CE%B4%CE%B7" title="Στερεό του Αρχιμήδη – görög" lang="el" hreflang="el" data-title="Στερεό του Αρχιμήδη" data-language-autonym="Ελληνικά" data-language-local-name="görög" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Arkimeda_solido" title="Arkimeda solido – eszperantó" lang="eo" hreflang="eo" data-title="Arkimeda solido" data-language-autonym="Esperanto" data-language-local-name="eszperantó" 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/S%C3%B3lidos_arquimedianos" title="Sólidos arquimedianos – spanyol" lang="es" hreflang="es" data-title="Sólidos arquimedianos" data-language-autonym="Español" data-language-local-name="spanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Arkimedesen_solido" title="Arkimedesen solido – baszk" lang="eu" hreflang="eu" data-title="Arkimedesen solido" data-language-autonym="Euskara" data-language-local-name="baszk" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AC%D8%B3%D9%85_%D8%A7%D8%B1%D8%B4%D9%85%DB%8C%D8%AF%D8%B3%DB%8C" title="جسم ارشمیدسی – perzsa" lang="fa" hreflang="fa" data-title="جسم ارشمیدسی" data-language-autonym="فارسی" data-language-local-name="perzsa" 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/Arkhimedeen_kappale" title="Arkhimedeen kappale – finn" lang="fi" hreflang="fi" data-title="Arkhimedeen kappale" data-language-autonym="Suomi" data-language-local-name="finn" 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/Solide_d%27Archim%C3%A8de" title="Solide d'Archimède – francia" lang="fr" hreflang="fr" data-title="Solide d'Archimède" data-language-autonym="Français" data-language-local-name="francia" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/S%C3%B3lido_arquimediano" title="Sólido arquimediano – gallego" lang="gl" hreflang="gl" data-title="Sólido arquimediano" data-language-autonym="Galego" data-language-local-name="gallego" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%90%D7%95%D7%9F_%D7%90%D7%A8%D7%9B%D7%99%D7%9E%D7%93%D7%99" title="פאון ארכימדי – héber" lang="he" hreflang="he" data-title="פאון ארכימדי" data-language-autonym="עברית" data-language-local-name="héber" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Solido_archimedeo" title="Solido archimedeo – olasz" lang="it" hreflang="it" data-title="Solido archimedeo" data-language-autonym="Italiano" data-language-local-name="olasz" 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/%E5%8D%8A%E6%AD%A3%E5%A4%9A%E9%9D%A2%E4%BD%93" title="半正多面体 – japán" lang="ja" hreflang="ja" data-title="半正多面体" data-language-autonym="日本語" data-language-local-name="japán" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%95%84%EB%A5%B4%ED%82%A4%EB%A9%94%EB%8D%B0%EC%8A%A4%EC%9D%98_%EB%8B%A4%EB%A9%B4%EC%B2%B4" title="아르키메데스의 다면체 – koreai" lang="ko" hreflang="ko" data-title="아르키메데스의 다면체" data-language-autonym="한국어" data-language-local-name="koreai" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Archimedo_k%C5%ABnas" title="Archimedo kūnas – litván" lang="lt" hreflang="lt" data-title="Archimedo kūnas" data-language-autonym="Lietuvių" data-language-local-name="litván" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4%D0%BE%D0%B2%D0%B8_%D1%82%D0%B5%D0%BB%D0%B0" title="Архимедови тела – macedón" lang="mk" hreflang="mk" data-title="Архимедови тела" data-language-autonym="Македонски" data-language-local-name="macedón" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Archimedisch_lichaam" title="Archimedisch lichaam – holland" lang="nl" hreflang="nl" data-title="Archimedisch lichaam" data-language-autonym="Nederlands" data-language-local-name="holland" 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/Arkimedisk_lekam" title="Arkimedisk lekam – norvég (nynorsk)" lang="nn" hreflang="nn" data-title="Arkimedisk lekam" data-language-autonym="Norsk nynorsk" data-language-local-name="norvég (nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Arkimedisk_legeme" title="Arkimedisk legeme – norvég (bokmål)" lang="nb" hreflang="nb" data-title="Arkimedisk legeme" data-language-autonym="Norsk bokmål" data-language-local-name="norvég (bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wielo%C5%9Bcian_p%C3%B3%C5%82foremny" title="Wielościan półforemny – lengyel" lang="pl" hreflang="pl" data-title="Wielościan półforemny" data-language-autonym="Polski" data-language-local-name="lengyel" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/S%C3%B3lido_de_Arquimedes" title="Sólido de Arquimedes – portugál" lang="pt" hreflang="pt" data-title="Sólido de Arquimedes" data-language-autonym="Português" data-language-local-name="portugál" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Poliedru_arhimedic" title="Poliedru arhimedic – román" lang="ro" hreflang="ro" data-title="Poliedru arhimedic" data-language-autonym="Română" data-language-local-name="román" 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%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4%D0%BE%D0%B2%D0%BE_%D1%82%D0%B5%D0%BB%D0%BE" title="Архимедово тело – orosz" lang="ru" hreflang="ru" data-title="Архимедово тело" data-language-autonym="Русский" data-language-local-name="orosz" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Archimedean_solid" title="Archimedean solid – Simple English" lang="en-simple" hreflang="en-simple" data-title="Archimedean solid" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Arhimedsko_telo" title="Arhimedsko telo – szlovén" lang="sl" hreflang="sl" data-title="Arhimedsko telo" data-language-autonym="Slovenščina" data-language-local-name="szlovén" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Arkimediska_kroppar" title="Arkimediska kroppar – svéd" lang="sv" hreflang="sv" data-title="Arkimediska kroppar" data-language-autonym="Svenska" data-language-local-name="svéd" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%97%E0%B8%A3%E0%B8%87%E0%B8%95%E0%B8%B1%E0%B8%99%E0%B8%AD%E0%B8%B2%E0%B8%A3%E0%B9%8C%E0%B8%84%E0%B8%B4%E0%B8%A1%E0%B8%B4%E0%B8%94%E0%B8%B5%E0%B8%AA" title="ทรงตันอาร์คิมิดีส – thai" lang="th" hreflang="th" data-title="ทรงตันอาร์คิมิดีส" data-language-autonym="ไทย" data-language-local-name="thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D1%96%D0%BC%D0%B5%D0%B4%D0%BE%D0%B2%D0%B5_%D1%82%D1%96%D0%BB%D0%BE" title="Архімедове тіло – ukrán" lang="uk" hreflang="uk" data-title="Архімедове тіло" data-language-autonym="Українська" data-language-local-name="ukrán" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%98%BF%E5%9F%BA%E7%B1%B3%E5%BE%B7%E7%AB%8B%E9%AB%94" title="阿基米德立體 – kínai" lang="zh" hreflang="zh" data-title="阿基米德立體" data-language-autonym="中文" data-language-local-name="kínai" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q213486#sitelinks-wikipedia" title="Nyelvközi hivatkozások szerkesztése" class="wbc-editpage">Hivatkozások szerkesztése</a></span></div> </div> </div> </div> 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data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-indicator-fr-review-status" class="mw-indicator"><indicator name="fr-review-status" class="mw-fr-review-status-indicator" id="mw-fr-revision-toggle"><span class="cdx-fr-css-icon-review--status--stable"></span><b>Ellenőrzött</b></indicator></div> </div> <div id="siteSub" class="noprint">A Wikipédiából, a szabad enciklopédiából</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><div id="mw-fr-revision-messages"><div id="mw-fr-revision-details" class="mw-fr-revision-details-dialog" style="display:none;"><div tabindex="0"></div><div class="cdx-dialog cdx-dialog--horizontal-actions"><header class="cdx-dialog__header cdx-dialog__header--default"><div class="cdx-dialog__header__title-group"><h2 class="cdx-dialog__header__title">Változat állapota</h2><p class="cdx-dialog__header__subtitle">Ez a lap egy ellenőrzött változata</p></div><button class="cdx-button cdx-button--action-default cdx-button--weight-quiet
							cdx-button--size-medium cdx-button--icon-only cdx-dialog__header__close-button" aria-label="Close" onclick="document.getElementById("mw-fr-revision-details").style.display = "none";" type="submit"><span class="cdx-icon cdx-icon--medium
							cdx-fr-css-icon--close"></span></button></header><div class="cdx-dialog__body">Ez a <a href="/wiki/Wikip%C3%A9dia:Jel%C3%B6lt_lapv%C3%A1ltozatok" title="Wikipédia:Jelölt lapváltozatok">közzétett változat</a>, <a class="external text" href="https://hu.wikipedia.org/w/index.php?title=Speci%C3%A1lis:Rendszernapl%C3%B3k&type=review&page=Arkhim%C3%A9d%C3%A9szi_testek">ellenőrizve</a>: <i>2022. szeptember 30.</i><p><table id="mw-fr-revisionratings-box" class="flaggedrevs-color-1" style="margin: auto;" cellpadding="0"><tr><td class="fr-text" style="vertical-align: middle;">Pontosság</td><td class="fr-value40" style="vertical-align: middle;">ellenőrzött</td></tr></table></p></div></div><div tabindex="0"></div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hu" dir="ltr"><p>Az <b>arkhimédészi testek</b> (<a href="/wiki/Arkhim%C3%A9d%C3%A9sz" title="Arkhimédész">Arkhimédész</a>-féle <a href="/wiki/Poli%C3%A9der" title="Poliéder">poliéderek</a>) sok<a href="/wiki/Szimmetria" title="Szimmetria">szimmetriájú</a>, félig szabályosnak is nevezett, <a href="/wiki/Konvex_halmaz" title="Konvex halmaz">konvex</a> testek. Két- vagy többféle szabályos sokszög alkotja a lapjaikat, és csúcsalakzataik is egybevágók (de már nem mindig szabályosak, mint az fönnáll a <a href="/wiki/Szab%C3%A1lyos_test" title="Szabályos test">szabályos testekre</a>). Különböznek tehát a platóni vagy szabályos testektől. Nem soroljuk közéjük a <a href="/wiki/Prizma" title="Prizma">prizmákat</a> és az <a href="/w/index.php?title=Antiprizma&action=edit&redlink=1" class="new" title="Antiprizma (a lap nem létezik)">antiprizmákat</a> sem, mert ezeknek kitüntetett <a href="/wiki/Forg%C3%A1stengely" class="mw-redirect" title="Forgástengely">forgástengelyük</a> van. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Nevük_eredete"><span id="Nev.C3.BCk_eredete"></span>Nevük eredete</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=1" title="Szakasz szerkesztése: Nevük eredete"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Az arkhimédészi testek a nevüket <a href="/wiki/Arkhim%C3%A9d%C3%A9sz" title="Arkhimédész">Arkhimédészről</a> kapták, aki részletesen tárgyalta őket egy elveszett munkájában. A reneszánszban kezdték a művészek ismét nagyra értékelni a tiszta formákat és újra fölfedezték őket. 1620-ban <a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Johannes Kepler</a> tette teljessé az ilyen testek körét, aki együtt tárgyalta őket a prizmákkal és az antiprizmákkal. </p> <div class="mw-heading mw-heading2"><h2 id="Osztályozásuk"><span id="Oszt.C3.A1lyoz.C3.A1suk"></span>Osztályozásuk</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=2" title="Szakasz szerkesztése: Osztályozásuk"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>13 arkhimédészi test van. (Illetve 15 akkor, ha a tükörképi változatokat is figyelembe vesszük az enantiomorf pároknál). Legegyszerűbb megadni őket a csúcsalakzataikkal: azokkal a szabályos sokszögekkel, amik találkoznak egy csúcsukban. Például a (4,6,8) csúcsalakzat azt jelenti, hogy egy csúcsban egy négyzet, egy szabályos hatszög és egy szabályos nyolcszög találkozik. </p> <table class="wikitable sortable" style="text-align:center"> <tbody><tr> <th>A test neve<br />(<a href="/w/index.php?title=Cs%C3%BAcsalakzat&action=edit&redlink=1" class="new" title="Csúcsalakzat (a lap nem létezik)">Csúcsalakzat</a>) </th> <th>Áttetsző ábrája </th> <th>Szilárd test ábrája </th> <th><a href="/w/index.php?title=Kiteregetett_h%C3%A1l%C3%B3zatos_%C3%A1br%C3%A1ja&action=edit&redlink=1" class="new" title="Kiteregetett hálózatos ábrája (a lap nem létezik)">Kiteregetett hálózatos ábrája</a> </th> <th>Lapok </th> <th>Lapok<br />(típusuk szerint) </th> <th>Élek </th> <th>Csúcsok </th> <th><a href="/w/index.php?title=A_g%C3%B6mbi_szimmetriacsoportok_list%C3%A1ja&action=edit&redlink=1" class="new" title="A gömbi szimmetriacsoportok listája (a lap nem létezik)">A gömbi szimmetriacsoportok listája</a> </th></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_tetra%C3%A9der&action=edit&redlink=1" class="new" title="Csonkított tetraéder (a lap nem létezik)">csonkított tetraéder</a><br />(3.6.6) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedtetrahedron.jpg" class="mw-file-description" title="Truncated tetrahedron"><img alt="Truncated tetrahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Truncatedtetrahedron.jpg/60px-Truncatedtetrahedron.jpg" decoding="async" width="60" height="53" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Truncatedtetrahedron.jpg/90px-Truncatedtetrahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Truncatedtetrahedron.jpg/120px-Truncatedtetrahedron.jpg 2x" data-file-width="867" data-file-height="773" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncatedtetrahedron.gif" title="Fájl:Truncatedtetrahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_tetrahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Truncated_tetrahedron.png/80px-Truncated_tetrahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Truncated_tetrahedron.png/120px-Truncated_tetrahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Truncated_tetrahedron.png/160px-Truncated_tetrahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_tetrahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Truncated_tetrahedron_flat.svg/80px-Truncated_tetrahedron_flat.svg.png" decoding="async" width="80" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Truncated_tetrahedron_flat.svg/120px-Truncated_tetrahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Truncated_tetrahedron_flat.svg/160px-Truncated_tetrahedron_flat.svg.png 2x" data-file-width="330" data-file-height="262" /></a></span> </td> <td>8 </td> <td>4 háromszög<br />4 <a href="/wiki/Hatsz%C3%B6g" title="Hatszög">hatszög</a> </td> <td>18 </td> <td>12 </td> <td>T<sub>d</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Kubokta%C3%A9der&action=edit&redlink=1" class="new" title="Kuboktaéder (a lap nem létezik)">kuboktaéder</a><br />(3.4.3.4) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Cuboctahedron.jpg" class="mw-file-description" title="Cuboctahedron"><img alt="Cuboctahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Cuboctahedron.jpg/60px-Cuboctahedron.jpg" decoding="async" width="60" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Cuboctahedron.jpg/90px-Cuboctahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/Cuboctahedron.jpg/120px-Cuboctahedron.jpg 2x" data-file-width="818" data-file-height="804" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Cuboctahedron.gif" title="Fájl:Cuboctahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Cuboctahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cuboctahedron.png/80px-Cuboctahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cuboctahedron.png/120px-Cuboctahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cuboctahedron.png/160px-Cuboctahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Cuboctahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Cuboctahedron_flat.svg/80px-Cuboctahedron_flat.svg.png" decoding="async" width="80" height="67" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Cuboctahedron_flat.svg/120px-Cuboctahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Cuboctahedron_flat.svg/160px-Cuboctahedron_flat.svg.png 2x" data-file-width="215" data-file-height="180" /></a></span> </td> <td> 14  </td> <td>8 háromszög<br />6 <a href="/wiki/N%C3%A9gyzet" title="Négyzet">négyzet</a> </td> <td>24 </td> <td>12 </td> <td>O<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_kocka&action=edit&redlink=1" class="new" title="Csonkított kocka (a lap nem létezik)">csonkított kocka</a><br />vagy csonkított hexaéder<br />(3.8.8) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedhexahedron.jpg" class="mw-file-description" title="Truncated hexahedron"><img alt="Truncated hexahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Truncatedhexahedron.jpg/60px-Truncatedhexahedron.jpg" decoding="async" width="60" height="63" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Truncatedhexahedron.jpg/90px-Truncatedhexahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Truncatedhexahedron.jpg/120px-Truncatedhexahedron.jpg 2x" data-file-width="819" data-file-height="855" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncatedhexahedron.gif" title="Fájl:Truncatedhexahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_hexahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Truncated_hexahedron.png/80px-Truncated_hexahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Truncated_hexahedron.png/120px-Truncated_hexahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Truncated_hexahedron.png/160px-Truncated_hexahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_hexahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Truncated_hexahedron_flat.svg/80px-Truncated_hexahedron_flat.svg.png" decoding="async" width="80" height="108" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Truncated_hexahedron_flat.svg/120px-Truncated_hexahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Truncated_hexahedron_flat.svg/160px-Truncated_hexahedron_flat.svg.png 2x" data-file-width="310" data-file-height="420" /></a></span> </td> <td>14 </td> <td>8 háromszög<br />6 nyolcszög </td> <td>36 </td> <td>24 </td> <td>O<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_okta%C3%A9der&action=edit&redlink=1" class="new" title="Csonkított oktaéder (a lap nem létezik)">csonkított oktaéder</a><br />(4.6.6) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedoctahedron.jpg" class="mw-file-description" title="Truncated octahedron"><img alt="Truncated octahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/Truncatedoctahedron.jpg/60px-Truncatedoctahedron.jpg" decoding="async" width="60" height="55" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/Truncatedoctahedron.jpg/90px-Truncatedoctahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/Truncatedoctahedron.jpg/120px-Truncatedoctahedron.jpg 2x" data-file-width="857" data-file-height="789" /></a></span><br /><small> </small><p><small>(<a href="/wiki/F%C3%A1jl:Truncatedoctahedron.gif" title="Fájl:Truncatedoctahedron.gif">Animation</a>)</small> </p> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_octahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Truncated_octahedron.png/80px-Truncated_octahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Truncated_octahedron.png/120px-Truncated_octahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/95/Truncated_octahedron.png/160px-Truncated_octahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_octahedron_flat.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Truncated_octahedron_flat.png/80px-Truncated_octahedron_flat.png" decoding="async" width="80" height="73" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Truncated_octahedron_flat.png/120px-Truncated_octahedron_flat.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Truncated_octahedron_flat.png/160px-Truncated_octahedron_flat.png 2x" data-file-width="1000" data-file-height="910" /></a></span> </td> <td>14 </td> <td>6 négyzet<br />8 hatszög </td> <td>36 </td> <td>24 </td> <td>O<sub>h</sub> </td></tr> <tr> <td><a href="/wiki/Rombikubokta%C3%A9der" title="Rombikuboktaéder">rombikuboktaéder</a><br />vagy kis rombikuboktaéder<br />(3.4.4.4) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Rhombicuboctahedron.jpg" class="mw-file-description" title="Rhombicuboctahedron"><img alt="Rhombicuboctahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/34/Rhombicuboctahedron.jpg/60px-Rhombicuboctahedron.jpg" decoding="async" width="60" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/34/Rhombicuboctahedron.jpg/90px-Rhombicuboctahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/34/Rhombicuboctahedron.jpg/120px-Rhombicuboctahedron.jpg 2x" data-file-width="823" data-file-height="836" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Rhombicuboctahedron.gif" title="Fájl:Rhombicuboctahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Small_rhombicuboctahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Small_rhombicuboctahedron.png/80px-Small_rhombicuboctahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Small_rhombicuboctahedron.png/120px-Small_rhombicuboctahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Small_rhombicuboctahedron.png/160px-Small_rhombicuboctahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Rhombicuboctahedron_flat.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Rhombicuboctahedron_flat.png/80px-Rhombicuboctahedron_flat.png" decoding="async" width="80" height="72" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Rhombicuboctahedron_flat.png/120px-Rhombicuboctahedron_flat.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/50/Rhombicuboctahedron_flat.png/160px-Rhombicuboctahedron_flat.png 2x" data-file-width="999" data-file-height="898" /></a></span> </td> <td>26 </td> <td>8 háromszög<br />18 négyzet </td> <td>48 </td> <td>24 </td> <td>O<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_kubokta%C3%A9der&action=edit&redlink=1" class="new" title="Csonkított kuboktaéder (a lap nem létezik)">csonkított kuboktaéder</a><br />vagy nagy rombikuboktaéder<br />(4.6.8) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedcuboctahedron.jpg" class="mw-file-description" title="Truncated cuboctahedron"><img alt="Truncated cuboctahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/60px-Truncatedcuboctahedron.jpg" decoding="async" width="60" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/90px-Truncatedcuboctahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/120px-Truncatedcuboctahedron.jpg 2x" data-file-width="855" data-file-height="868" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncatedcuboctahedron.gif" title="Fájl:Truncatedcuboctahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Great_rhombicuboctahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Great_rhombicuboctahedron.png/80px-Great_rhombicuboctahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Great_rhombicuboctahedron.png/120px-Great_rhombicuboctahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Great_rhombicuboctahedron.png/160px-Great_rhombicuboctahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_cuboctahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Truncated_cuboctahedron_flat.svg/80px-Truncated_cuboctahedron_flat.svg.png" decoding="async" width="80" height="53" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Truncated_cuboctahedron_flat.svg/120px-Truncated_cuboctahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Truncated_cuboctahedron_flat.svg/160px-Truncated_cuboctahedron_flat.svg.png 2x" data-file-width="577" data-file-height="381" /></a></span> </td> <td>26 </td> <td>12 négyzet<br />8 hatszög<br />6 nyolcszög </td> <td>72 </td> <td>48 </td> <td>O<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Pisze_kocka&action=edit&redlink=1" class="new" title="Pisze kocka (a lap nem létezik)">pisze kocka</a><br />vagy pisze hexaéder<br /> vagy pisze kuboktaéder<br />(2 királis alak)<br />(3.3.3.3.4) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snubhexahedronccw.jpg" class="mw-file-description" title="Snub hexahedron (Ccw)"><img alt="Snub hexahedron (Ccw)" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Snubhexahedronccw.jpg/60px-Snubhexahedronccw.jpg" decoding="async" width="60" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Snubhexahedronccw.jpg/90px-Snubhexahedronccw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Snubhexahedronccw.jpg/120px-Snubhexahedronccw.jpg 2x" data-file-width="837" data-file-height="817" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Snubhexahedronccw.gif" title="Fájl:Snubhexahedronccw.gif">Animation</a>)</small><br /><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snubhexahedroncw.jpg" class="mw-file-description" title="Snub hexahedron (Cw)"><img alt="Snub hexahedron (Cw)" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Snubhexahedroncw.jpg/60px-Snubhexahedroncw.jpg" decoding="async" width="60" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Snubhexahedroncw.jpg/90px-Snubhexahedroncw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Snubhexahedroncw.jpg/120px-Snubhexahedroncw.jpg 2x" data-file-width="843" data-file-height="833" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Snubhexahedroncw.gif" title="Fájl:Snubhexahedroncw.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snub_hexahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Snub_hexahedron.png/80px-Snub_hexahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Snub_hexahedron.png/120px-Snub_hexahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/74/Snub_hexahedron.png/160px-Snub_hexahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snub_cube_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Snub_cube_flat.svg/80px-Snub_cube_flat.svg.png" decoding="async" width="80" height="62" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Snub_cube_flat.svg/120px-Snub_cube_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/Snub_cube_flat.svg/160px-Snub_cube_flat.svg.png 2x" data-file-width="512" data-file-height="396" /></a></span> </td> <td>38 </td> <td>32 háromszög<br />6 négyzet </td> <td>60 </td> <td>24 </td> <td>O </td></tr> <tr> <td><a href="/wiki/Ikozidodeka%C3%A9der" title="Ikozidodekaéder">ikozidodekaéder</a><br />(3.5.3.5) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Icosidodecahedron.jpg" class="mw-file-description" title="Icosidodecahedron"><img alt="Icosidodecahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Icosidodecahedron.jpg/60px-Icosidodecahedron.jpg" decoding="async" width="60" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Icosidodecahedron.jpg/90px-Icosidodecahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Icosidodecahedron.jpg/120px-Icosidodecahedron.jpg 2x" data-file-width="841" data-file-height="861" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Icosidodecahedron.gif" title="Fájl:Icosidodecahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Icosidodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Icosidodecahedron.png/80px-Icosidodecahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Icosidodecahedron.png/120px-Icosidodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/Icosidodecahedron.png/160px-Icosidodecahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Icosidodecahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Icosidodecahedron_flat.svg/80px-Icosidodecahedron_flat.svg.png" decoding="async" width="80" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Icosidodecahedron_flat.svg/120px-Icosidodecahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Icosidodecahedron_flat.svg/160px-Icosidodecahedron_flat.svg.png 2x" data-file-width="512" data-file-height="412" /></a></span> </td> <td>32 </td> <td>20 háromszög<br />12 <a href="/wiki/%C3%96tsz%C3%B6g" title="Ötszög">ötszög</a> </td> <td>60 </td> <td>30 </td> <td>I<sub>h</sub> </td></tr> <tr> <td><a href="/wiki/Csonk%C3%ADtott_dodeka%C3%A9der" title="Csonkított dodekaéder">csonkított dodekaéder</a><br />(3.10.10) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncateddodecahedron.jpg" class="mw-file-description" title="Truncated dodecahedron"><img alt="Truncated dodecahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Truncateddodecahedron.jpg/60px-Truncateddodecahedron.jpg" decoding="async" width="60" height="55" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Truncateddodecahedron.jpg/90px-Truncateddodecahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Truncateddodecahedron.jpg/120px-Truncateddodecahedron.jpg 2x" data-file-width="876" data-file-height="802" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncateddodecahedron.gif" title="Fájl:Truncateddodecahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_dodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Truncated_dodecahedron.png/80px-Truncated_dodecahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Truncated_dodecahedron.png/120px-Truncated_dodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Truncated_dodecahedron.png/160px-Truncated_dodecahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_dodecahedron_flat.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Truncated_dodecahedron_flat.png/80px-Truncated_dodecahedron_flat.png" decoding="async" width="80" height="67" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Truncated_dodecahedron_flat.png/120px-Truncated_dodecahedron_flat.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Truncated_dodecahedron_flat.png/160px-Truncated_dodecahedron_flat.png 2x" data-file-width="1000" data-file-height="832" /></a></span> </td> <td>32 </td> <td>20 háromszög<br />12 <a href="/wiki/T%C3%ADzsz%C3%B6g" title="Tízszög">tízszög</a> </td> <td>90 </td> <td>60 </td> <td>I<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_ikoza%C3%A9der&action=edit&redlink=1" class="new" title="Csonkított ikozaéder (a lap nem létezik)">csonkított ikozaéder</a><br />vagy <a href="/wiki/Fuller%C3%A9nek" title="Fullerének">Fullerén</a><br />vagy <a href="/wiki/Futball-labda" title="Futball-labda">Futball-labda</a>/focilabda<br />(5.6.6) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedicosahedron.jpg" class="mw-file-description" title="Truncated icosahedron"><img alt="Truncated icosahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Truncatedicosahedron.jpg/60px-Truncatedicosahedron.jpg" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Truncatedicosahedron.jpg/90px-Truncatedicosahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Truncatedicosahedron.jpg/120px-Truncatedicosahedron.jpg 2x" data-file-width="878" data-file-height="874" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncatedicosahedron.gif" title="Fájl:Truncatedicosahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Truncated_icosahedron.png/90px-Truncated_icosahedron.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Truncated_icosahedron.png/135px-Truncated_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Truncated_icosahedron.png/180px-Truncated_icosahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_icosahedron_flat-2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Truncated_icosahedron_flat-2.svg/90px-Truncated_icosahedron_flat-2.svg.png" decoding="async" width="90" height="87" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Truncated_icosahedron_flat-2.svg/135px-Truncated_icosahedron_flat-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/83/Truncated_icosahedron_flat-2.svg/180px-Truncated_icosahedron_flat-2.svg.png 2x" data-file-width="512" data-file-height="496" /></a></span> </td> <td>32 </td> <td>12 ötszög<br />20 hatszög </td> <td>90 </td> <td>60 </td> <td>I<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Rombikozidodeka%C3%A9der&action=edit&redlink=1" class="new" title="Rombikozidodekaéder (a lap nem létezik)">rombikozidodekaéder</a><br />vagy kis rombikozidodekaéder<br />(3.4.5.4) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Rhombicosidodecahedron.jpg" class="mw-file-description" title="Rhombicosidodecahedron"><img alt="Rhombicosidodecahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Rhombicosidodecahedron.jpg/60px-Rhombicosidodecahedron.jpg" decoding="async" width="60" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Rhombicosidodecahedron.jpg/90px-Rhombicosidodecahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Rhombicosidodecahedron.jpg/120px-Rhombicosidodecahedron.jpg 2x" data-file-width="858" data-file-height="871" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Rhombicosidodecahedron.gif" title="Fájl:Rhombicosidodecahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Small_rhombicosidodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Small_rhombicosidodecahedron.png/80px-Small_rhombicosidodecahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Small_rhombicosidodecahedron.png/120px-Small_rhombicosidodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/Small_rhombicosidodecahedron.png/160px-Small_rhombicosidodecahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Rhombicosidodecahedron_flat.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Rhombicosidodecahedron_flat.png/80px-Rhombicosidodecahedron_flat.png" decoding="async" width="80" height="66" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Rhombicosidodecahedron_flat.png/120px-Rhombicosidodecahedron_flat.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Rhombicosidodecahedron_flat.png/160px-Rhombicosidodecahedron_flat.png 2x" data-file-width="1000" data-file-height="826" /></a></span> </td> <td>62 </td> <td>20 háromszög<br />30 négyzet<br />12 ötszög </td> <td>120 </td> <td>60 </td> <td>I<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Csonk%C3%ADtott_ikozidodeka%C3%A9der&action=edit&redlink=1" class="new" title="Csonkított ikozidodekaéder (a lap nem létezik)">csonkított ikozidodekaéder</a><br />vagy nagy rombikozidodekaéder<br />(4.6.10) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncatedicosidodecahedron.jpg" class="mw-file-description" title="Truncated icosidodecahedron"><img alt="Truncated icosidodecahedron" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Truncatedicosidodecahedron.jpg/60px-Truncatedicosidodecahedron.jpg" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Truncatedicosidodecahedron.jpg/90px-Truncatedicosidodecahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Truncatedicosidodecahedron.jpg/120px-Truncatedicosidodecahedron.jpg 2x" data-file-width="868" data-file-height="869" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Truncatedicosidodecahedron.gif" title="Fájl:Truncatedicosidodecahedron.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Great_rhombicosidodecahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Great_rhombicosidodecahedron.png/80px-Great_rhombicosidodecahedron.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Great_rhombicosidodecahedron.png/120px-Great_rhombicosidodecahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Great_rhombicosidodecahedron.png/160px-Great_rhombicosidodecahedron.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Truncated_icosidodecahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Truncated_icosidodecahedron_flat.svg/80px-Truncated_icosidodecahedron_flat.svg.png" decoding="async" width="80" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Truncated_icosidodecahedron_flat.svg/120px-Truncated_icosidodecahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/55/Truncated_icosidodecahedron_flat.svg/160px-Truncated_icosidodecahedron_flat.svg.png 2x" data-file-width="512" data-file-height="412" /></a></span> </td> <td>62 </td> <td>30 négyzet<br />20 hatszög<br />12 tízszög </td> <td>180 </td> <td>120 </td> <td>I<sub>h</sub> </td></tr> <tr> <td><a href="/w/index.php?title=Pisze_dodeka%C3%A9der&action=edit&redlink=1" class="new" title="Pisze dodekaéder (a lap nem létezik)">pisze dodekaéder</a><br />vagy pisze ikozidodekaéder<br />(2 királis alak)<br />(3.3.3.3.5) </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snubdodecahedronccw.jpg" class="mw-file-description" title="Snub dodecahedron (Ccw)"><img alt="Snub dodecahedron (Ccw)" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/13/Snubdodecahedronccw.jpg/60px-Snubdodecahedronccw.jpg" decoding="async" width="60" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/13/Snubdodecahedronccw.jpg/90px-Snubdodecahedronccw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/13/Snubdodecahedronccw.jpg/120px-Snubdodecahedronccw.jpg 2x" data-file-width="853" data-file-height="866" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Snubdodecahedronccw.gif" title="Fájl:Snubdodecahedronccw.gif">Animation</a>)</small><br /><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snubdodecahedroncw.jpg" class="mw-file-description" title="Snub dodecahedron (Cw)"><img alt="Snub dodecahedron (Cw)" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snubdodecahedroncw.jpg/60px-Snubdodecahedroncw.jpg" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snubdodecahedroncw.jpg/90px-Snubdodecahedroncw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snubdodecahedroncw.jpg/120px-Snubdodecahedroncw.jpg 2x" data-file-width="872" data-file-height="877" /></a></span><br /><small>(<a href="/wiki/F%C3%A1jl:Snubdodecahedroncw.gif" title="Fájl:Snubdodecahedroncw.gif">Animation</a>)</small> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snub_dodecahedron_ccw.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Snub_dodecahedron_ccw.png/80px-Snub_dodecahedron_ccw.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Snub_dodecahedron_ccw.png/120px-Snub_dodecahedron_ccw.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Snub_dodecahedron_ccw.png/160px-Snub_dodecahedron_ccw.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/F%C3%A1jl:Snub_dodecahedron_flat.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snub_dodecahedron_flat.svg/80px-Snub_dodecahedron_flat.svg.png" decoding="async" width="80" height="55" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snub_dodecahedron_flat.svg/120px-Snub_dodecahedron_flat.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/be/Snub_dodecahedron_flat.svg/160px-Snub_dodecahedron_flat.svg.png 2x" data-file-width="562" data-file-height="389" /></a></span> </td> <td>92 </td> <td>80 háromszög<br />12 ötszög </td> <td>150 </td> <td>60 </td> <td>I </td></tr></tbody></table> <p>A kuboktaéder és az ikozidodekaéder élei uniformok, ezért kváziszabályos testeknek is nevezik őket. </p><p>A pisze kockát és a pisze dodekaédert <i>királis</i> testeknek is nevezik, mert előállnak balkezes (latinul: laevo bal, levomorf) alakban is és jobbkezes (latinul: dextro jobb, dextromorf) alakban is. Ha egy háromdimenziós alakzat előáll úgy, mint két alakzat tükörképi párja, akkor ezeket a testeket <a href="/wiki/Optikai_izom%C3%A9ria" title="Optikai izoméria">enantiomorf pároknak</a> nevezzük. Ezt a szakkifejezést főleg a kémiai <a href="/wiki/Vegy%C3%BClet" title="Vegyület">vegyületekre</a> használják. </p><p>Az arkhimédészi testek duális párját alkotó testeket <a href="/w/index.php?title=Catal%C3%A1n-testek&action=edit&redlink=1" class="new" title="Catalán-testek (a lap nem létezik)">Catalán-testeknek</a> nevezik. Ezeknek a csúcsalakzataik a szabályosak, lapjaik pedig egybevágó, de nem szabályos lapok. </p> <div class="mw-heading mw-heading2"><h2 id="A_platoni_és_arkhimédészi_testek_periódusos_rendszere"><span id="A_platoni_.C3.A9s_arkhim.C3.A9d.C3.A9szi_testek_peri.C3.B3dusos_rendszere"></span>A platoni és arkhimédészi testek periódusos rendszere</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=3" title="Szakasz szerkesztése: A platoni és arkhimédészi testek periódusos rendszere"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ha megengedjük, hogy a platoni és arkhimédészi testek több példányban is előforduljanak, akkor a duális platoni testek fölhasználásával a következő periodikus táblázatot állíthatjuk össze. </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/F%C3%A1jl:Dual_Cube-Octahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Dual_Cube-Octahedron.svg/150px-Dual_Cube-Octahedron.svg.png" decoding="async" width="150" height="151" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Dual_Cube-Octahedron.svg/225px-Dual_Cube-Octahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Dual_Cube-Octahedron.svg/300px-Dual_Cube-Octahedron.svg.png 2x" data-file-width="744" data-file-height="749" /></a><figcaption>Kocka és oktaéder duális helyzete között három arkhimédészi testet találunk, ha csonkítással jutunk el egyiktől a másikig - itt éppen a kockától az oktaéderig. Hasonlítsuk össze ezt az ábrát a táblázat második sorával.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/F%C3%A1jl:PLATARK.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f1/PLATARK.jpg/550px-PLATARK.jpg" decoding="async" width="550" height="186" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f1/PLATARK.jpg/825px-PLATARK.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f1/PLATARK.jpg/1100px-PLATARK.jpg 2x" data-file-width="2801" data-file-height="946" /></a><figcaption>A platoni és arkhimédészi testek periódusos rendszere. A szabályos testek gömbre vetített változatukban vannak ábrázolva. A snub truncation a pisze testeket jelöli (truncation= csonkítás).</figcaption></figure> <p>Középen állnak az egyszerű csonkítási sor tagjai. Például a kocka esetén ezek a következők: (A táblázatban is használt Steiner szimbólummal adjuk meg őket): (3,3,3,3), (4,6,6), (3,4,3,4), (3,8,8), (4,4,4). Vagyis az oktaéderrel kezdődő és a kockával végződő (az ábrán a középső) sort adtuk itt meg. </p><p>Megszoktuk, hogy az egyedi eseteket soroljuk föl egy-egy készlet megadásánál. Ezt tesszük a platoni testek és az arkhimédészi testek fölsorolásánál is. Azonban a rajtuk lévő sokféle szabályosság lehetővé teszi azt is, hogy tömörebben ábrázoljuk őket, táblázatosan. Ezért azonban árat kell fizetni. Ez az ár pedig az, hogy szerepköre, vagyis a csonkítás alapján, egyféle testnek a sorban többször is meg kell jelennie. Ezen az áron viszont egy szemléletes és jól áttekinthető táblázathoz jutunk és ez nem kis előny. </p> <div class="mw-heading mw-heading2"><h2 id="Kapcsolódó_szócikkek"><span id="Kapcsol.C3.B3d.C3.B3_sz.C3.B3cikkek"></span>Kapcsolódó szócikkek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=4" title="Szakasz szerkesztése: Kapcsolódó szócikkek"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Szab%C3%A1lyos_test" title="Szabályos test">Szabályos testek</a></li> <li><a href="/wiki/Szimmetria" title="Szimmetria">Szimmetria</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Irodalom">Irodalom</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=5" title="Szakasz szerkesztése: Irodalom"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Coxeter, H. S. M. (1987): <i>Geometriák alapjai.</i> Műszaki Könyvkiadó, Budapest</li> <li>Coxeter, H. S. M. (1948): <i>Regular Polytopes.</i> Methuen and Co.,</li> <li>Coxeter, H. S. M. (1974): <i>Regular Complex Polytopes.</i> Cambridge University Press,</li> <li>Fejes Tóth L. (1964): <i>Regular figures.</i> Pergamon Press, 1964, xi+339 pp</li> <li>Lakatos I. (1988): <i>Bizonyítások és cáfolatok.</i> Typotex Könyvkiadó, Budapest</li> <li>Bérczi Sz. (1979): A szabályos és féligszabályos (platoni és archimedészi) testek és mozaikok periódusos rendszere. Középiskolai Matematikai Lapok. 59. 5. sz. 193-199. old.</li> <li>Bérczi Sz. (1990): <i>Szimmetria és struktúraépítés.</i> Egyetemi jegyzet. Tankönyvkiadó, Budapest</li> <li>Bérczi Sz. (1992): Sejtautomaták: platoni és archimedészi testeken át. <i>Iskolakultúra.</i> II. 22. sz. 30-43. . (HU <a href="/wiki/ISSN" title="ISSN">ISSN</a> <a rel="nofollow" class="external text" href="https://portal.issn.org/resource/ISSN/1215-5233">1215-5233</a>)</li> <li>Bérczi Sz. (1993): Double Layered Equation of Motion: Platonic and Archimedean Cellular Automata in the Solution of the Indirect Von Neumann Problem on Sphere for Transformations of regular Tessellations. <i>Acta Mineralogica et Petrographica, Szeged</i>, XXXIX. p. 96-117. (HU <a href="/wiki/ISSN" title="ISSN">ISSN</a> <a rel="nofollow" class="external text" href="https://portal.issn.org/resource/ISSN/0365-8006">0365-8006</a>)</li> <li>Bérczi Sz. (2003): From the Periodic System of Platonic and Archimedean Solids and Tessellations to the 4D Regular Polyhedra and Tessellations (with Extensions to Some 5D Polytopes). <i>Symmetry: Culture and Science</i>, 11. No. 1-4. p. 125-137. (<a href="/wiki/ISSN" title="ISSN">ISSN</a> <a rel="nofollow" class="external text" href="https://portal.issn.org/resource/ISSN/0865-4824">0865-4824</a>)</li></ul> <div class="mw-heading mw-heading2"><h2 id="További_információk"><span id="Tov.C3.A1bbi_inform.C3.A1ci.C3.B3k"></span>További információk</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arkhim%C3%A9d%C3%A9szi_testek&action=edit&section=6" title="Szakasz szerkesztése: További információk"><span>szerkesztés</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.matud.iif.hu/05mar/08.html">Hargittai István beszélgetése Fejes Tóth Lászlóval</a>, Magyar Tudomány, 2005. március.</li> <li><a rel="nofollow" class="external text" href="http://demonstrations.wolfram.com/ArchimedeanSolids/">Arkhimédeszi testek</a> írta Eric W. Weisstein, A Wolfram Demonstrations Project egyik demonstrációja.</li> <li><a rel="nofollow" class="external text" href="http://www.software3d.com/Archimedean.php">Papírmodellek az arkhimédészi testekről és a katalán testekről</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070220101209/http://www.korthalsaltes.com/archimedean_solids_pictures.html">Papírmodellek az Arkhimédeszi testekről </a></li> <li><a rel="nofollow" class="external text" href="http://www.mathconsult.ch/showroom/unipoly/">Az uniform testekről</a> írta Dr. R. Mäder</li> <li><a rel="nofollow" class="external text" href="http://www.georgehart.com/virtual-polyhedra/vp.html">Virtuális valóság testek</a>, <i>The Encyclopedia of Polyhedra</i> George W. Hart honlapján.</li> <li><a rel="nofollow" class="external text" href="http://www.cs.utk.edu/~plank/plank/origami/penultimate/intro.html">Penultimate Moduláris Origami</a> írta James S. Plank</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20050403235101/http://ibiblio.org/e-notes/3Dapp/Convex.htm">Interaktív 3D poliéderek</a> Java nyelven.</li> <li><a rel="nofollow" class="external text" href="http://video.google.com/videoplay?docid=7084140981126344386&q=tom+barber&hl=en">Korunkbeli Arkhimédészi testfelületek</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a rel="nofollow" class="external text" href="https://web.archive.org/web/*/http://video.google.com/videoplay?docid=7084140981126344386&q=tom+barber&hl=en"><span title="  2018-11">halott link</span></a></i>]</span></sup> Tervezte Tom Barber</li> <li><a rel="nofollow" class="external text" href="http://www.software3d.com/Stella.php">Stella: Poliéder Navigátor</a>: Egy olyan szoftver, amelynek segítségével többet is elkészítettek az ezen az oldalon látható ábrákból.</li> <li><a rel="nofollow" class="external text" href="http://demonstrations.wolfram.com/Polyhedrane/">Kabai Sándor Wolfram Demonstrációs grafikái a féligszabályos testek gömböcös kialakításáról.</a></li> <li><a rel="nofollow" class="external text" href="http://spidron.hu/archispidron/">Erdély Dániel spidronizált Arkhimédészi testjei</a></li> <li><a rel="nofollow" class="external text" href="https://kovacsv.github.com/JSModeler/documentation/examples/solids.html">Arkhimédészi testek interaktív 3D megjelenítése</a> <a rel="nofollow" class="external text" href="https://archive.today/20130411004747/http://kovacsv.github.com/JSModeler/documentation/examples/solids.html">Archiválva</a> 2013. április 11-i dátummal az <a href="/wiki/Archive.is" class="mw-redirect" title="Archive.is">Archive.is</a>-en</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r26593303">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output 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