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class="vector-toc-numb">2</span> <span>Cartesian coordinates</span> </div> </a> <ul id="toc-Cartesian_coordinates-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Area_and_volume" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Area_and_volume"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Area and volume</span> </div> </a> <ul id="toc-Area_and_volume-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dissection" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dissection"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Dissection</span> </div> </a> <ul id="toc-Dissection-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Uniform_colorings" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Uniform_colorings"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Uniform colorings</span> </div> </a> <ul id="toc-Uniform_colorings-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Orthogonal_projections" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Orthogonal_projections"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Orthogonal projections</span> </div> </a> <ul id="toc-Orthogonal_projections-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Spherical_tiling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Spherical_tiling"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Spherical tiling</span> </div> </a> <ul id="toc-Spherical_tiling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Full_octahedral_group" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Full_octahedral_group"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Full octahedral group</span> </div> </a> <ul id="toc-Full_octahedral_group-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Related_polyhedra" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Related_polyhedra"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Related polyhedra</span> </div> </a> <ul id="toc-Related_polyhedra-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Truncated_cuboctahedral_graph" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Truncated_cuboctahedral_graph"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Truncated cuboctahedral graph</span> </div> </a> <ul id="toc-Truncated_cuboctahedral_graph-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>External links</span> </div> </a> <ul id="toc-External_links-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="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <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="Toggle the table of contents" > <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 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Available in 22 languages" > <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-22" 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">22 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Cuboct%C3%A0edre_truncat" title="Cuboctàedre truncat – Catalan" lang="ca" hreflang="ca" data-title="Cuboctàedre truncat" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Gro%C3%9Fes_Rhombenkuboktaeder" title="Großes Rhombenkuboktaeder – German" lang="de" hreflang="de" data-title="Großes Rhombenkuboktaeder" data-language-autonym="Deutsch" data-language-local-name="German" 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%8C%CE%BB%CE%BF%CF%85%CF%81%CE%BF_%CE%BA%CF%85%CE%B2%CE%BF%CE%BA%CF%84%CE%AC%CE%B5%CE%B4%CF%81%CE%BF" title="Κόλουρο κυβοκτάεδρο – Greek" lang="el" hreflang="el" data-title="Κόλουρο κυβοκτάεδρο" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cuboctaedro_truncado" title="Cuboctaedro truncado – Spanish" lang="es" hreflang="es" data-title="Cuboctaedro truncado" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Senpintigita_kubokedro" title="Senpintigita kubokedro – Esperanto" lang="eo" hreflang="eo" data-title="Senpintigita kubokedro" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kuboktaedro_moztu" title="Kuboktaedro moztu – Basque" lang="eu" hreflang="eu" data-title="Kuboktaedro moztu" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%DA%A9%D8%B9%D8%A8%E2%80%8C%D9%87%D8%B4%D8%AA%E2%80%8C%D9%88%D8%AC%D9%87%DB%8C_%D8%A8%D8%B1%DB%8C%D8%AF%D9%87%E2%80%8C%D8%B4%D8%AF%D9%87" title="مکعب‌هشت‌وجهی بریده‌شده – Persian" lang="fa" hreflang="fa" data-title="مکعب‌هشت‌وجهی بریده‌شده" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cubocta%C3%A8dre_tronqu%C3%A9" title="Cuboctaèdre tronqué – French" lang="fr" hreflang="fr" data-title="Cuboctaèdre tronqué" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B9%8E%EC%9D%80_%EC%9C%A1%ED%8C%94%EB%A9%B4%EC%B2%B4" title="깎은 육팔면체 – Korean" lang="ko" hreflang="ko" data-title="깎은 육팔면체" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Cubottaedro_troncato" title="Cubottaedro troncato – Italian" lang="it" hreflang="it" data-title="Cubottaedro troncato" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Grote_rombische_kubocta%C3%ABder" title="Grote rombische kuboctaëder – Dutch" lang="nl" hreflang="nl" data-title="Grote rombische kuboctaëder" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%96%9C%E6%96%B9%E5%88%87%E9%A0%82%E7%AB%8B%E6%96%B9%E5%85%AB%E9%9D%A2%E4%BD%93" title="斜方切頂立方八面体 – Japanese" lang="ja" hreflang="ja" data-title="斜方切頂立方八面体" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Avstumpet_kuboktaeder" title="Avstumpet kuboktaeder – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Avstumpet kuboktaeder" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Avkutta_kuboktaeder" title="Avkutta kuboktaeder – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Avkutta kuboktaeder" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Sze%C5%9Bcio-o%C5%9Bmio%C5%9Bcian_rombowy_wielki" title="Sześcio-ośmiościan rombowy wielki – Polish" lang="pl" hreflang="pl" data-title="Sześcio-ośmiościan rombowy wielki" data-language-autonym="Polski" data-language-local-name="Polish" 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/Cuboctaedro_truncado" title="Cuboctaedro truncado – Portuguese" lang="pt" hreflang="pt" data-title="Cuboctaedro truncado" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Cuboctaedru_trunchiat" title="Cuboctaedru trunchiat – Romanian" lang="ro" hreflang="ro" data-title="Cuboctaedru trunchiat" data-language-autonym="Română" data-language-local-name="Romanian" 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%A3%D1%81%D0%B5%D1%87%D1%91%D0%BD%D0%BD%D1%8B%D0%B9_%D0%BA%D1%83%D0%B1%D0%BE%D0%BE%D0%BA%D1%82%D0%B0%D1%8D%D0%B4%D1%80" title="Усечённый кубооктаэдр – Russian" lang="ru" hreflang="ru" data-title="Усечённый кубооктаэдр" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Prisekani_kubooktaeder" title="Prisekani kubooktaeder – Slovenian" lang="sl" hreflang="sl" data-title="Prisekani kubooktaeder" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%B4%E0%B8%A7%E0%B8%9A%E0%B8%AD%E0%B8%81%E0%B8%97%E0%B8%B2%E0%B8%AE%E0%B8%B5%E0%B8%94%E0%B8%A3%E0%B8%AD%E0%B8%99%E0%B8%9B%E0%B8%A5%E0%B8%B2%E0%B8%A2%E0%B8%95%E0%B8%B1%E0%B8%94" title="คิวบอกทาฮีดรอนปลายตัด – Thai" lang="th" hreflang="th" data-title="คิวบอกทาฮีดรอนปลายตัด" 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%97%D1%80%D1%96%D0%B7%D0%B0%D0%BD%D0%B8%D0%B9_%D0%BA%D1%83%D0%B1%D0%BE%D0%BE%D0%BA%D1%82%D0%B0%D0%B5%D0%B4%D1%80" title="Зрізаний кубооктаедр – Ukrainian" lang="uk" hreflang="uk" data-title="Зрізаний кубооктаедр" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh 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class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/320px-Truncatedcuboctahedron.jpg" decoding="async" width="320" height="325" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/480px-Truncatedcuboctahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/04/Truncatedcuboctahedron.jpg/640px-Truncatedcuboctahedron.jpg 2x" data-file-width="855" data-file-height="868" /></a></span><br /><a href="/wiki/File:Truncatedcuboctahedron.gif" title="File:Truncatedcuboctahedron.gif">(Click here for rotating model)</a> </td></tr> <tr> <td style="background-color:#e7dcc3;" width="105">Type</td> <td><a href="/wiki/Archimedean_solid" title="Archimedean solid">Archimedean solid</a><br /><a href="/wiki/Uniform_polyhedron" title="Uniform polyhedron">Uniform polyhedron</a> </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Euler_characteristic" title="Euler characteristic">Elements</a></td> <td><i>F</i> = 26, <i>E</i> = 72, <i>V</i> = 48 (χ = 2) </td></tr> <tr> <td style="background-color:#e7dcc3;">Faces by sides</td> <td>12{4}+8{6}+6{8} </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">Conway notation</a></td> <td>bC or taC </td></tr> <tr> <td rowspan="2" style="background-color:#e7dcc3"><a href="/wiki/Schl%C3%A4fli_symbol" title="Schläfli symbol">Schläfli symbols</a></td> <td>tr{4,3} or <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 t{\begin{Bmatrix}4\\3\end{Bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>3</mn> </mtd> </mtr> </mtable> <mo>}</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t{\begin{Bmatrix}4\\3\end{Bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae101b718c6a394603b6691e812e829664331188" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:6.24ex; height:6.176ex;" alt="{\displaystyle t{\begin{Bmatrix}4\\3\end{Bmatrix}}}" /></span> </td></tr> <tr> <td>t<sub>0,1,2</sub>{4,3} </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Wythoff_symbol" title="Wythoff symbol">Wythoff symbol</a></td> <td>2 3 4 | </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Coxeter_diagram" class="mw-redirect" title="Coxeter diagram">Coxeter diagram</a></td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">Symmetry group</a></td> <td><a href="/wiki/Octahedral_symmetry" title="Octahedral symmetry">O<sub>h</sub></a>, B<sub>3</sub>, [4,3], (*432), order 48 </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Point_groups_in_three_dimensions#Rotation_groups" title="Point groups in three dimensions">Rotation group</a></td> <td><a href="/wiki/Octahedral_symmetry" title="Octahedral symmetry">O</a>, [4,3]<sup>+</sup>, (432), order 24 </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/Dihedral_angle" title="Dihedral angle">Dihedral angle</a></td> <td><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 {\begin{aligned}{\text{4-6:}}&\ \arccos {\tfrac {-{\sqrt {6}}}{3}}=144^{\circ }44'08''\\[4pt]{\text{4-8:}}&\ \arccos {\tfrac {-1}{\sqrt {2}}}=135^{\circ }\\{\text{6-8:}}&\ \arccos {\tfrac {-{\sqrt {3}}}{3}}=125^{\circ }15'51''\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="0.7em 0.3em 0.3em" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mtext>4-6:</mtext> </mrow> </mtd> <mtd> <mtext> </mtext> <mi>arccos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>6</mn> </msqrt> </mrow> </mrow> <mn>3</mn> </mfrac> </mstyle> </mrow> <mo>=</mo> <msup> <mn>144</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> <msup> <mn>44</mn> <mo>′</mo> </msup> <msup> <mn>08</mn> <mo>″</mo> </msup> </mtd> </mtr> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mtext>4-8:</mtext> </mrow> </mtd> <mtd> <mtext> </mtext> <mi>arccos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mo>−</mo> <mn>1</mn> </mrow> <msqrt> <mn>2</mn> </msqrt> </mfrac> </mstyle> </mrow> <mo>=</mo> <msup> <mn>135</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> </mtd> </mtr> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mtext>6-8:</mtext> </mrow> </mtd> <mtd> <mtext> </mtext> <mi>arccos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>3</mn> </mfrac> </mstyle> </mrow> <mo>=</mo> <msup> <mn>125</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> <msup> <mn>15</mn> <mo>′</mo> </msup> <msup> <mn>51</mn> <mo>″</mo> </msup> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}{\text{4-6:}}&\ \arccos {\tfrac {-{\sqrt {6}}}{3}}=144^{\circ }44'08''\\[4pt]{\text{4-8:}}&\ \arccos {\tfrac {-1}{\sqrt {2}}}=135^{\circ }\\{\text{6-8:}}&\ \arccos {\tfrac {-{\sqrt {3}}}{3}}=125^{\circ }15'51''\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ad2edada83ede0261a61223952aa4e01f01d5b09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.3ex; margin-bottom: -0.205ex; width:30.488ex; height:14.176ex;" alt="{\displaystyle {\begin{aligned}{\text{4-6:}}&\ \arccos {\tfrac {-{\sqrt {6}}}{3}}=144^{\circ }44'08''\\[4pt]{\text{4-8:}}&\ \arccos {\tfrac {-1}{\sqrt {2}}}=135^{\circ }\\{\text{6-8:}}&\ \arccos {\tfrac {-{\sqrt {3}}}{3}}=125^{\circ }15'51''\end{aligned}}}" /></span> </td></tr> <tr> <td style="background-color:#e7dcc3;"><a href="/wiki/List_of_uniform_polyhedra#Indexing" title="List of uniform polyhedra">References</a></td> <td><a href="/wiki/Uniform_polyhedron" title="Uniform polyhedron">U</a><sub>11</sub>, <a href="/wiki/Harold_Scott_MacDonald_Coxeter" title="Harold Scott MacDonald Coxeter">C</a><sub>23</sub>, <a href="/wiki/List_of_Wenninger_polyhedron_models" title="List of Wenninger polyhedron models">W</a><sub>15</sub> </td></tr> <tr> <td style="background-color:#e7dcc3;">Properties</td> <td>Semiregular <a href="/wiki/Convex_polyhedron" class="mw-redirect" title="Convex polyhedron">convex</a> <a href="/wiki/Zonohedron" title="Zonohedron">zonohedron</a> </td></tr> <tr> <td style="text-align:center;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/100px-Polyhedron_great_rhombi_6-8_max.png" decoding="async" width="100" height="98" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/150px-Polyhedron_great_rhombi_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/200px-Polyhedron_great_rhombi_6-8_max.png 2x" data-file-width="3860" data-file-height="3795" /></a></span><br />Colored faces </td> <td style="vertical-align:top;text-align:center;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_vertfig.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Polyhedron_great_rhombi_6-8_vertfig.svg/140px-Polyhedron_great_rhombi_6-8_vertfig.svg.png" decoding="async" width="140" height="140" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Polyhedron_great_rhombi_6-8_vertfig.svg/210px-Polyhedron_great_rhombi_6-8_vertfig.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Polyhedron_great_rhombi_6-8_vertfig.svg/280px-Polyhedron_great_rhombi_6-8_vertfig.svg.png 2x" data-file-width="442" data-file-height="442" /></a></span><br />4.6.8<br />(<a href="/wiki/Vertex_figure" title="Vertex figure">Vertex figure</a>) </td></tr> <tr> <td style="vertical-align:top;text-align:center;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/100px-Polyhedron_great_rhombi_6-8_dual_max.png" decoding="async" width="100" height="101" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/150px-Polyhedron_great_rhombi_6-8_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/200px-Polyhedron_great_rhombi_6-8_dual_max.png 2x" data-file-width="3878" data-file-height="3928" /></a></span><br /><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">Disdyakis dodecahedron</a><br />(<a href="/wiki/Dual_polyhedron" title="Dual polyhedron">dual polyhedron</a>) </td> <td style="text-align:center;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_net.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Polyhedron_great_rhombi_6-8_net.svg/140px-Polyhedron_great_rhombi_6-8_net.svg.png" decoding="async" width="140" height="92" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Polyhedron_great_rhombi_6-8_net.svg/210px-Polyhedron_great_rhombi_6-8_net.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Polyhedron_great_rhombi_6-8_net.svg/280px-Polyhedron_great_rhombi_6-8_net.svg.png 2x" data-file-width="577" data-file-height="381" /></a></span><br /><a href="/wiki/Net_(polyhedron)" title="Net (polyhedron)">Net</a> </td></tr></tbody></table> <p>In <a href="/wiki/Geometry" title="Geometry">geometry</a>, the <b>truncated cuboctahedron</b> or <b>great rhombicuboctahedron</b> is an <a href="/wiki/Archimedean_solid" title="Archimedean solid">Archimedean solid</a>, named by Kepler as a <a href="/wiki/Truncation_(geometry)" title="Truncation (geometry)">truncation</a> of a <a href="/wiki/Cuboctahedron" title="Cuboctahedron">cuboctahedron</a>. It has 12 <a href="/wiki/Square_(geometry)" class="mw-redirect" title="Square (geometry)">square</a> faces, 8 regular <a href="/wiki/Hexagon" title="Hexagon">hexagonal</a> faces, 6 regular <a href="/wiki/Octagon" title="Octagon">octagonal</a> faces, 48 vertices, and 72 edges. Since each of its faces has <a href="/wiki/Point_symmetry" class="mw-redirect" title="Point symmetry">point symmetry</a> (equivalently, 180° <a href="/wiki/Rotation" title="Rotation">rotational</a> symmetry), the truncated cuboctahedron is a <b>9</b>-<a href="/wiki/Zonohedron" title="Zonohedron">zonohedron</a>. The truncated cuboctahedron can <a href="/wiki/Omnitruncated_cubic_honeycomb" class="mw-redirect" title="Omnitruncated cubic honeycomb">tessellate</a> with the <a href="/wiki/Octagonal_prism" title="Octagonal prism">octagonal prism</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Names">Names</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=1" title="Edit section: Names"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table> <tbody><tr> <td> <p>The name <i>truncated cuboctahedron</i>, given originally by <a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Johannes Kepler</a>, is misleading: an actual <a href="/wiki/Truncation_(geometry)" title="Truncation (geometry)">truncation</a> of a <a href="/wiki/Cuboctahedron" title="Cuboctahedron">cuboctahedron</a> has <a href="/wiki/Rectangle" title="Rectangle">rectangles</a> instead of <a href="/wiki/Square" title="Square">squares</a>; however, this nonuniform polyhedron is <a href="/wiki/Topologically" class="mw-redirect" title="Topologically">topologically</a> equivalent to the Archimedean solid unrigorously named truncated cuboctahedron. </p><p>Alternate interchangeable names are: </p> <ul><li><i>Truncated cuboctahedron</i> (<a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Johannes Kepler</a>),</li> <li><i>Rhombitruncated cuboctahedron</i> (<a href="/wiki/Magnus_Wenninger" title="Magnus Wenninger">Magnus Wenninger</a><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>),</li> <li><i>Great rhombicuboctahedron</i> (<a href="/wiki/Robert_Williams_(geometer)" title="Robert Williams (geometer)">Robert Williams</a><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>),</li> <li><i>Great rhombcuboctahedron</i> (Peter Cromwell<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>),</li> <li><i><a href="/wiki/Omnitruncation" title="Omnitruncation">Omnitruncated</a> cube</i> or <i>cantitruncated cube</i> (<a href="/wiki/Norman_Johnson_(mathematician)" title="Norman Johnson (mathematician)">Norman Johnson</a>),</li> <li><i>Beveled cube</i> (<a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">Conway polyhedron notation</a>).</li></ul> </td> <td style="padding-left:50px;"> <style data-mw-deduplicate="TemplateStyles:r1273380762/mw-parser-output/.tmulti">.mw-parser-output .tmulti .multiimageinner{display:flex;flex-direction:column}.mw-parser-output .tmulti .trow{display:flex;flex-direction:row;clear:left;flex-wrap:wrap;width:100%;box-sizing:border-box}.mw-parser-output .tmulti 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span:not(.skin-invert-image):not(.skin-invert):not(.bg-transparent) img{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .tmulti .multiimageinner span:not(.skin-invert-image):not(.skin-invert):not(.bg-transparent) img{background-color:white}}</style><div class="thumb tmulti tleft"><div class="thumbinner multiimageinner" style="width:268px;max-width:268px"><div class="trow"><div class="tsingle" style="width:132px;max-width:132px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_6-8_max.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Polyhedron_6-8_max.png/130px-Polyhedron_6-8_max.png" decoding="async" width="130" height="124" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Polyhedron_6-8_max.png/195px-Polyhedron_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Polyhedron_6-8_max.png/260px-Polyhedron_6-8_max.png 2x" data-file-width="3850" data-file-height="3680" /></a></span></div></div><div class="tsingle" style="width:132px;max-width:132px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_nonuniform_truncated_6-8_max.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Polyhedron_nonuniform_truncated_6-8_max.png/130px-Polyhedron_nonuniform_truncated_6-8_max.png" decoding="async" width="130" height="124" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Polyhedron_nonuniform_truncated_6-8_max.png/195px-Polyhedron_nonuniform_truncated_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Polyhedron_nonuniform_truncated_6-8_max.png/260px-Polyhedron_nonuniform_truncated_6-8_max.png 2x" data-file-width="2942" data-file-height="2812" /></a></span></div></div></div><div class="trow" style="display:flex"><div class="thumbcaption">Cuboctahedron and its truncation</div></div></div></div> </td></tr></tbody></table> <p>There is a <a href="/wiki/Nonconvex_uniform_polyhedron" class="mw-redirect" title="Nonconvex uniform polyhedron">nonconvex uniform polyhedron</a> with a similar name: the <a href="/wiki/Nonconvex_great_rhombicuboctahedron" title="Nonconvex great rhombicuboctahedron">nonconvex great rhombicuboctahedron</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Cartesian_coordinates">Cartesian coordinates</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=2" title="Edit section: Cartesian coordinates"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <a href="/wiki/Cartesian_coordinates" class="mw-redirect" title="Cartesian coordinates">Cartesian coordinates</a> for the vertices of a truncated cuboctahedron having edge length 2 and centered at the origin are all the <a href="/wiki/Permutation" title="Permutation">permutations</a> of: <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\Bigl (}\pm 1,\quad \pm \left(1+{\sqrt {2}}\right),\quad \pm \left(1+2{\sqrt {2}}\right){\Bigr )}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="1.623em" minsize="1.623em">(</mo> </mrow> </mrow> <mo>±</mo> <mn>1</mn> <mo>,</mo> <mspace width="1em"></mspace> <mo>±</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mo>,</mo> <mspace width="1em"></mspace> <mo>±</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-CLOSE"> <mo maxsize="1.623em" minsize="1.623em">)</mo> </mrow> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\Bigl (}\pm 1,\quad \pm \left(1+{\sqrt {2}}\right),\quad \pm \left(1+2{\sqrt {2}}\right){\Bigr )}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51e00f5f1bd7005b193ff429acedef98a8b482d9" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:38.927ex; height:4.843ex;" alt="{\displaystyle {\Bigl (}\pm 1,\quad \pm \left(1+{\sqrt {2}}\right),\quad \pm \left(1+2{\sqrt {2}}\right){\Bigr )}.}" /></span> </p> <div class="mw-heading mw-heading2"><h2 id="Area_and_volume">Area and volume</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=3" title="Edit section: Area and volume"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The area <i>A</i> and the volume <i>V</i> of the truncated cuboctahedron of edge length <i>a</i> are: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}A&=12\left(2+{\sqrt {2}}+{\sqrt {3}}\right)a^{2}&&\approx 61.755\,1724~a^{2},\\V&=\left(22+14{\sqrt {2}}\right)a^{3}&&\approx 41.798\,9899~a^{3}.\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>A</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mn>12</mn> <mrow> <mo>(</mo> <mrow> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mtd> <mtd></mtd> <mtd> <mi></mi> <mo>≈</mo> <mn>61.755</mn> <mspace width="thinmathspace"></mspace> <mn>1724</mn> <mtext> </mtext> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd> <mi>V</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mn>22</mn> <mo>+</mo> <mn>14</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mtd> <mtd></mtd> <mtd> <mi></mi> <mo>≈</mo> <mn>41.798</mn> <mspace width="thinmathspace"></mspace> <mn>9899</mn> <mtext> </mtext> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>.</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}A&=12\left(2+{\sqrt {2}}+{\sqrt {3}}\right)a^{2}&&\approx 61.755\,1724~a^{2},\\V&=\left(22+14{\sqrt {2}}\right)a^{3}&&\approx 41.798\,9899~a^{3}.\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/58a1e2d77faa3b2f9a27382815f06a59029fa3c9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:48.941ex; height:6.843ex;" alt="{\displaystyle {\begin{aligned}A&=12\left(2+{\sqrt {2}}+{\sqrt {3}}\right)a^{2}&&\approx 61.755\,1724~a^{2},\\V&=\left(22+14{\sqrt {2}}\right)a^{3}&&\approx 41.798\,9899~a^{3}.\end{aligned}}}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Dissection">Dissection</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=4" title="Edit section: Dissection"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1273380762/mw-parser-output/.tmulti" /><div class="thumb tmulti tleft"><div class="thumbinner multiimageinner" style="width:292px;max-width:292px"><div class="trow"><div class="tsingle" style="width:144px;max-width:144px"><div class="thumbimage" style="height:139px;overflow:hidden"><span typeof="mw:File"><a href="/wiki/File:Small_in_great_rhombi_6-8,_davinci_small_with_cubes.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png/142px-Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png" decoding="async" width="142" height="140" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png/213px-Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png/284px-Small_in_great_rhombi_6-8%2C_davinci_small_with_cubes.png 2x" data-file-width="3912" data-file-height="3864" /></a></span></div></div><div class="tsingle" style="width:144px;max-width:144px"><div class="thumbimage" style="height:139px;overflow:hidden"><span typeof="mw:File"><a href="/wiki/File:Small_in_great_rhombi_6-8,_davinci.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Small_in_great_rhombi_6-8%2C_davinci.png/142px-Small_in_great_rhombi_6-8%2C_davinci.png" decoding="async" width="142" height="140" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Small_in_great_rhombi_6-8%2C_davinci.png/213px-Small_in_great_rhombi_6-8%2C_davinci.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Small_in_great_rhombi_6-8%2C_davinci.png/284px-Small_in_great_rhombi_6-8%2C_davinci.png 2x" data-file-width="3912" data-file-height="3864" /></a></span></div></div></div></div></div> <p>The truncated cuboctahedron is the <a href="/wiki/Convex_hull" title="Convex hull">convex hull</a> of a <a href="/wiki/Rhombicuboctahedron" title="Rhombicuboctahedron">rhombicuboctahedron</a> with cubes above its 12 squares on 2-fold symmetry axes. The rest of its space can be dissected into 6 <a href="/wiki/Square_cupola" title="Square cupola">square cupolas</a> below the octagons, and 8 <a href="/wiki/Triangular_cupola" title="Triangular cupola">triangular cupolas</a> below the hexagons. </p><p>A dissected truncated cuboctahedron can create a genus 5, 7, or 11 <a href="/wiki/Stewart_toroid" class="mw-redirect" title="Stewart toroid">Stewart toroid</a> by removing the central rhombicuboctahedron, and either the 6 square cupolas, the 8 triangular cupolas, or the 12 cubes respectively. Many other lower symmetry toroids can also be constructed by removing the central rhombicuboctahedron, and a subset of the other dissection components. For example, removing 4 of the triangular cupolas creates a genus 3 toroid; if these cupolas are appropriately chosen, then this toroid has tetrahedral symmetry.<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><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> </p> <table class="wikitable collapsible collapsed"> <tbody><tr> <th colspan="4">Stewart toroids </th></tr> <tr> <th>Genus 3 </th> <th>Genus 5 </th> <th>Genus 7 </th> <th>Genus 11 </th></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Excavated_truncated_cuboctahedron4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Excavated_truncated_cuboctahedron4.png/160px-Excavated_truncated_cuboctahedron4.png" decoding="async" width="160" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Excavated_truncated_cuboctahedron4.png/240px-Excavated_truncated_cuboctahedron4.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Excavated_truncated_cuboctahedron4.png/320px-Excavated_truncated_cuboctahedron4.png 2x" data-file-width="738" data-file-height="744" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Excavated_truncated_cuboctahedron2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Excavated_truncated_cuboctahedron2.png/160px-Excavated_truncated_cuboctahedron2.png" decoding="async" width="160" height="159" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Excavated_truncated_cuboctahedron2.png/240px-Excavated_truncated_cuboctahedron2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/80/Excavated_truncated_cuboctahedron2.png/320px-Excavated_truncated_cuboctahedron2.png 2x" data-file-width="742" data-file-height="738" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Excavated_truncated_cuboctahedron3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Excavated_truncated_cuboctahedron3.png/160px-Excavated_truncated_cuboctahedron3.png" decoding="async" width="160" height="154" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Excavated_truncated_cuboctahedron3.png/240px-Excavated_truncated_cuboctahedron3.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Excavated_truncated_cuboctahedron3.png/320px-Excavated_truncated_cuboctahedron3.png 2x" data-file-width="809" data-file-height="781" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Excavated_truncated_cuboctahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Excavated_truncated_cuboctahedron.png/160px-Excavated_truncated_cuboctahedron.png" decoding="async" width="160" height="163" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Excavated_truncated_cuboctahedron.png/240px-Excavated_truncated_cuboctahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Excavated_truncated_cuboctahedron.png/320px-Excavated_truncated_cuboctahedron.png 2x" data-file-width="761" data-file-height="774" /></a></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Uniform_colorings">Uniform colorings</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=5" title="Edit section: Uniform colorings"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>There is only one <a href="/wiki/Uniform_coloring" title="Uniform coloring">uniform coloring</a> of the faces of this polyhedron, one color for each face type. </p><p>A 2-uniform coloring, with <a href="/wiki/Tetrahedral_symmetry" title="Tetrahedral symmetry">tetrahedral symmetry</a>, exists with alternately colored hexagons. </p> <div class="mw-heading mw-heading2"><h2 id="Orthogonal_projections">Orthogonal projections</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=6" title="Edit section: Orthogonal projections"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1273380762/mw-parser-output/.tmulti" /><div class="thumb tmulti tright"><div class="thumbinner multiimageinner" style="width:124px;max-width:124px"><div class="trow"><div class="tsingle" style="width:122px;max-width:122px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_from_blue_max.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Polyhedron_great_rhombi_6-8_from_blue_max.png/120px-Polyhedron_great_rhombi_6-8_from_blue_max.png" decoding="async" width="120" height="137" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Polyhedron_great_rhombi_6-8_from_blue_max.png/180px-Polyhedron_great_rhombi_6-8_from_blue_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Polyhedron_great_rhombi_6-8_from_blue_max.png/240px-Polyhedron_great_rhombi_6-8_from_blue_max.png 2x" data-file-width="1240" data-file-height="1417" /></a></span></div></div></div><div class="trow"><div class="tsingle" style="width:122px;max-width:122px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_from_yellow_max.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_great_rhombi_6-8_from_yellow_max.png/120px-Polyhedron_great_rhombi_6-8_from_yellow_max.png" decoding="async" width="120" height="122" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_great_rhombi_6-8_from_yellow_max.png/180px-Polyhedron_great_rhombi_6-8_from_yellow_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_great_rhombi_6-8_from_yellow_max.png/240px-Polyhedron_great_rhombi_6-8_from_yellow_max.png 2x" data-file-width="1415" data-file-height="1443" /></a></span></div></div></div><div class="trow"><div class="tsingle" style="width:122px;max-width:122px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_from_red_max.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Polyhedron_great_rhombi_6-8_from_red_max.png/120px-Polyhedron_great_rhombi_6-8_from_red_max.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Polyhedron_great_rhombi_6-8_from_red_max.png/180px-Polyhedron_great_rhombi_6-8_from_red_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Polyhedron_great_rhombi_6-8_from_red_max.png/240px-Polyhedron_great_rhombi_6-8_from_red_max.png 2x" data-file-width="1246" data-file-height="1245" /></a></span></div></div></div></div></div> <p>The truncated cuboctahedron has two special <a href="/wiki/Orthogonal_projection" class="mw-redirect" title="Orthogonal projection">orthogonal projections</a> in the A<sub>2</sub> and B<sub>2</sub> <a href="/wiki/Coxeter_plane" class="mw-redirect" title="Coxeter plane">Coxeter planes</a> with [6] and [8] projective symmetry, and numerous [2] symmetries can be constructed from various projected planes relative to the polyhedron elements. </p> <table class="wikitable"> <caption>Orthogonal projections </caption> <tbody><tr> <th>Centered by </th> <th>Vertex </th> <th>Edge<br />4-6 </th> <th>Edge<br />4-8 </th> <th>Edge<br />6-8 </th> <th>Face normal<br />4-6 </th></tr> <tr> <th>Image </th> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_v.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Cube_t012_v.png/100px-Cube_t012_v.png" decoding="async" width="100" height="93" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Cube_t012_v.png/150px-Cube_t012_v.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/95/Cube_t012_v.png/200px-Cube_t012_v.png 2x" data-file-width="955" data-file-height="886" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_e46.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Cube_t012_e46.png/100px-Cube_t012_e46.png" decoding="async" width="100" height="104" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Cube_t012_e46.png/150px-Cube_t012_e46.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Cube_t012_e46.png/200px-Cube_t012_e46.png 2x" data-file-width="876" data-file-height="908" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_e48.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Cube_t012_e48.png/100px-Cube_t012_e48.png" decoding="async" width="100" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Cube_t012_e48.png/150px-Cube_t012_e48.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/Cube_t012_e48.png/200px-Cube_t012_e48.png 2x" data-file-width="971" data-file-height="831" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_e68.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Cube_t012_e68.png/100px-Cube_t012_e68.png" decoding="async" width="100" height="93" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Cube_t012_e68.png/150px-Cube_t012_e68.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/44/Cube_t012_e68.png/200px-Cube_t012_e68.png 2x" data-file-width="942" data-file-height="879" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_f46.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Cube_t012_f46.png/100px-Cube_t012_f46.png" decoding="async" width="100" height="95" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Cube_t012_f46.png/150px-Cube_t012_f46.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Cube_t012_f46.png/200px-Cube_t012_f46.png 2x" data-file-width="853" data-file-height="807" /></a></span> </td></tr> <tr align="center"> <th>Projective<br />symmetry </th> <td>[2]<sup>+</sup> </td> <td>[2] </td> <td>[2] </td> <td>[2] </td> <td>[2] </td></tr> <tr> <th>Centered by </th> <th>Face normal<br />Square </th> <th>Face normal<br />Octagon </th> <th>Face<br />Square </th> <th>Face<br />Hexagon </th> <th>Face<br />Octagon </th></tr> <tr> <th>Image </th> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_af4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Cube_t012_af4.png/100px-Cube_t012_af4.png" decoding="async" width="100" height="101" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Cube_t012_af4.png/150px-Cube_t012_af4.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Cube_t012_af4.png/200px-Cube_t012_af4.png 2x" data-file-width="843" data-file-height="852" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_af8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Cube_t012_af8.png/100px-Cube_t012_af8.png" decoding="async" width="100" height="87" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Cube_t012_af8.png/150px-Cube_t012_af8.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Cube_t012_af8.png/200px-Cube_t012_af8.png 2x" data-file-width="863" data-file-height="751" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Cube_t012_f4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Cube_t012_f4.png/100px-Cube_t012_f4.png" decoding="async" width="100" height="89" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Cube_t012_f4.png/150px-Cube_t012_f4.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Cube_t012_f4.png/200px-Cube_t012_f4.png 2x" data-file-width="900" data-file-height="799" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:3-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/100px-3-cube_t012.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/150px-3-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/200px-3-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:3-cube_t012_B2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/3-cube_t012_B2.svg/100px-3-cube_t012_B2.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/3-cube_t012_B2.svg/150px-3-cube_t012_B2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/3-cube_t012_B2.svg/200px-3-cube_t012_B2.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td></tr> <tr align="center"> <th>Projective<br />symmetry </th> <td>[2] </td> <td>[2] </td> <td>[2] </td> <td>[6] </td> <td>[4] </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Spherical_tiling">Spherical tiling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=7" title="Edit section: Spherical tiling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The truncated cuboctahedron can also be represented as a <a href="/wiki/Spherical_tiling" class="mw-redirect" title="Spherical tiling">spherical tiling</a>, and projected onto the plane via a <a href="/wiki/Stereographic_projection" title="Stereographic projection">stereographic projection</a>. This projection is <a href="/wiki/Conformal_map" title="Conformal map">conformal</a>, preserving angles but not areas or lengths. Straight lines on the sphere are projected as circular arcs on the plane. </p> <table class="wikitable"> <tbody><tr align="center" valign="top"> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_432-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/155px-Uniform_tiling_432-t012.png" decoding="async" width="155" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/233px-Uniform_tiling_432-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/310px-Uniform_tiling_432-t012.png 2x" data-file-width="825" data-file-height="830" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Truncated_cuboctahedron_stereographic_projection_square.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Truncated_cuboctahedron_stereographic_projection_square.png/165px-Truncated_cuboctahedron_stereographic_projection_square.png" decoding="async" width="165" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Truncated_cuboctahedron_stereographic_projection_square.png/248px-Truncated_cuboctahedron_stereographic_projection_square.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Truncated_cuboctahedron_stereographic_projection_square.png/330px-Truncated_cuboctahedron_stereographic_projection_square.png 2x" data-file-width="921" data-file-height="869" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Truncated_cuboctahedron_stereographic_projection_hexagon.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Truncated_cuboctahedron_stereographic_projection_hexagon.png/152px-Truncated_cuboctahedron_stereographic_projection_hexagon.png" decoding="async" width="152" height="155" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Truncated_cuboctahedron_stereographic_projection_hexagon.png/228px-Truncated_cuboctahedron_stereographic_projection_hexagon.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Truncated_cuboctahedron_stereographic_projection_hexagon.png/304px-Truncated_cuboctahedron_stereographic_projection_hexagon.png 2x" data-file-width="878" data-file-height="894" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Truncated_cuboctahedron_stereographic_projection_octagon.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Truncated_cuboctahedron_stereographic_projection_octagon.png/160px-Truncated_cuboctahedron_stereographic_projection_octagon.png" decoding="async" width="160" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Truncated_cuboctahedron_stereographic_projection_octagon.png/240px-Truncated_cuboctahedron_stereographic_projection_octagon.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/85/Truncated_cuboctahedron_stereographic_projection_octagon.png/320px-Truncated_cuboctahedron_stereographic_projection_octagon.png 2x" data-file-width="901" data-file-height="877" /></a></span> </td></tr> <tr> <th rowspan="2"><a href="/wiki/Orthogonal_projection" class="mw-redirect" title="Orthogonal projection">Orthogonal projection</a> </th> <th><a href="/wiki/Square" title="Square">square</a>-centered</th> <th><a href="/wiki/Hexagon" title="Hexagon">hexagon</a>-centered</th> <th><a href="/wiki/Octagon" title="Octagon">octagon</a>-centered </th></tr> <tr> <th colspan="3"><a href="/wiki/Stereographic_projection" title="Stereographic projection">Stereographic projections</a> </th></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Full_octahedral_group">Full octahedral group</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=8" title="Edit section: Full octahedral group"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Full_octahedral_group_elements_in_truncated_cuboctahedron;_JF.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png/220px-Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png" decoding="async" width="220" height="217" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png/330px-Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png/440px-Full_octahedral_group_elements_in_truncated_cuboctahedron%3B_JF.png 2x" data-file-width="3904" data-file-height="3852" /></a><figcaption></figcaption></figure> <p>Like many other solids the truncated octahedron has full <a href="/wiki/Octahedral_symmetry" title="Octahedral symmetry">octahedral symmetry</a> - but its relationship with the full octahedral group is closer than that: Its 48 vertices correspond to the elements of the group, and each face of <a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">its dual</a> is a <a href="/wiki/Fundamental_domain" title="Fundamental domain">fundamental domain</a> of the group. </p><p>The image on the right shows the 48 permutations in the group applied to an example object (namely the light JF compound on the left). The 24 light elements are rotations, and the dark ones are their reflections. </p><p>The edges of the solid correspond to the 9 reflections in the group: </p> <ul><li>Those between octagons and squares correspond to the 3 reflections between opposite octagons.</li> <li>Hexagon edges correspond to the 6 reflections between opposite squares.</li> <li>(There are no reflections between opposite hexagons.)</li></ul> <p>The subgroups correspond to solids that share the respective vertices of the truncated octahedron.<br /> E.g. the 3 subgroups with 24 elements correspond to a nonuniform <a href="/wiki/Snub_cube" title="Snub cube">snub cube</a> with chiral octahedral symmetry, a nonuniform <a href="/wiki/Rhombicuboctahedron" title="Rhombicuboctahedron">rhombicuboctahedron</a> with <a href="/wiki/Pyritohedral_symmetry" class="mw-redirect" title="Pyritohedral symmetry">pyritohedral symmetry</a> (the <a href="/wiki/Cantic_snub_octahedron" class="mw-redirect" title="Cantic snub octahedron">cantic snub octahedron</a>) and a nonuniform <a href="/wiki/Truncated_octahedron" title="Truncated octahedron">truncated octahedron</a> with <a href="/wiki/Full_tetrahedral_symmetry" class="mw-redirect" title="Full tetrahedral symmetry">full tetrahedral symmetry</a>. The unique subgroup with 12 elements is the <a href="/wiki/Alternating_group" title="Alternating group">alternating group</a> A<sub>4</sub>. It corresponds to a nonuniform <a href="/wiki/Icosahedron" title="Icosahedron">icosahedron</a> with <a href="/wiki/Chiral_tetrahedral_symmetry" class="mw-redirect" title="Chiral tetrahedral symmetry">chiral tetrahedral symmetry</a>. </p> <table class="wikitable collapsible" style="text-align: center;"> <tbody><tr> <th colspan="5">Subgroups and corresponding solids </th></tr> <tr valign="top"> <th>Truncated cuboctahedron<br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />tr{4,3} </th> <th><a href="/wiki/Snub_cube" title="Snub cube">Snub cube</a><br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />sr{4,3} </th> <th><a href="/wiki/Rhombicuboctahedron#Pyritohedral_symmetry" title="Rhombicuboctahedron">Rhombicuboctahedron</a><br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />s<sub>2</sub>{3,4} </th> <th><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">Truncated octahedron</a><br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />h<sub>1,2</sub>{4,3} </th> <th><a href="/wiki/Regular_icosahedron#Symmetries" title="Regular icosahedron">Icosahedron</a><br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </th></tr> <tr> <th>[4,3]<br /><a href="/wiki/Octahedral_symmetry#Subgroups_of_full_octahedral_symmetry" title="Octahedral symmetry">Full octahedral</a> </th> <th>[4,3]<sup>+</sup><br />Chiral octahedral </th> <th>[4,3<sup>+</sup>]<br /><a href="/wiki/Tetrahedral_symmetry#Subgroups_of_pyritohedral_symmetry" title="Tetrahedral symmetry">Pyritohedral</a> </th> <th>[1<sup>+</sup>,4,3] = [3,3]<br /><a href="/wiki/Tetrahedral_symmetry#Subgroups_of_achiral_tetrahedral_symmetry" title="Tetrahedral symmetry">Full tetrahedral</a> </th> <th>[1<sup>+</sup>,4,3<sup>+</sup>] = [3,3]<sup>+</sup><br />Chiral tetrahedral </th></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/150px-Polyhedron_great_rhombi_6-8_max.png" decoding="async" width="150" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/225px-Polyhedron_great_rhombi_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/300px-Polyhedron_great_rhombi_6-8_max.png 2x" data-file-width="3860" data-file-height="3795" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png/150px-Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png" decoding="async" width="150" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png/225px-Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/82/Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png/300px-Polyhedron_great_rhombi_6-8_subsolid_snub_right_maxmatch.png 2x" data-file-width="3860" data-file-height="3795" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png/150px-Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png" decoding="async" width="150" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png/225px-Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png/300px-Polyhedron_great_rhombi_6-8_subsolid_pyritohedral_maxmatch.png 2x" data-file-width="3860" data-file-height="3795" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png/150px-Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png" decoding="async" width="150" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png/225px-Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png/300px-Polyhedron_great_rhombi_6-8_subsolid_tetrahedral_maxmatch.png 2x" data-file-width="3860" data-file-height="3795" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png/150px-Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png" decoding="async" width="150" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png/225px-Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png/300px-Polyhedron_great_rhombi_6-8_subsolid_20_maxmatch.png 2x" data-file-width="3860" data-file-height="3795" /></a></span> </td></tr> <tr> <td>all 48 vertices </td> <td colspan="3">24 vertices </td> <td>12 vertices </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Related_polyhedra">Related polyhedra</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=9" title="Edit section: Related polyhedra"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" align="right" width="320"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/File:Conway_polyhedron_b3O.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Conway_polyhedron_b3O.png/160px-Conway_polyhedron_b3O.png" decoding="async" width="160" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Conway_polyhedron_b3O.png/240px-Conway_polyhedron_b3O.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/51/Conway_polyhedron_b3O.png/320px-Conway_polyhedron_b3O.png 2x" data-file-width="1240" data-file-height="1277" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Conway_polyhedron_b3C.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Conway_polyhedron_b3C.png/160px-Conway_polyhedron_b3C.png" decoding="async" width="160" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Conway_polyhedron_b3C.png/240px-Conway_polyhedron_b3C.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/Conway_polyhedron_b3C.png/320px-Conway_polyhedron_b3C.png 2x" data-file-width="1353" data-file-height="1365" /></a></span> </td></tr> <tr> <td colspan="2">Bowtie tetrahedron and cube contain two trapezoidal faces in place of each square.<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> </td></tr></tbody></table> <p>The truncated cuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron. </p> <table class="wikitable mw-collapsible mw-collapsed"> <tbody><tr> <th colspan="11"><a href="/wiki/Uniform_polyhedron#(4_3_2)_Oh_Octahedral_symmetry" title="Uniform polyhedron">Uniform octahedral polyhedra</a> </th></tr> <tr style="text-align:center;"> <th colspan="7"><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">Symmetry</a>: [4,3], <a href="/wiki/Octahedral_symmetry" title="Octahedral symmetry">(*432)</a> </th> <th>[4,3]<sup>+</sup><br />(432) </th> <th colspan="2">[1<sup>+</sup>,4,3] = [3,3]<br /><a href="/wiki/Tetrahedral_symmetry" title="Tetrahedral symmetry">(*332)</a> </th> <th>[3<sup>+</sup>,4]<br /><a href="/wiki/Pyritohedral_symmetry" class="mw-redirect" title="Pyritohedral symmetry">(3*2)</a> </th></tr> <tr style="text-align:center;vertical-align:top;"> <td><a href="/wiki/Cube" title="Cube">{4,3}</a> </td> <td><a href="/wiki/Truncated_cube" title="Truncated cube">t{4,3}</a> </td> <td><a href="/wiki/Cuboctahedron" title="Cuboctahedron">r{4,3}</a><br />r{3<sup>1,1</sup>} </td> <td><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">t{3,4}</a><br />t{3<sup>1,1</sup>} </td> <td><a href="/wiki/Octahedron" title="Octahedron">{3,4}</a><br />{3<sup>1,1</sup>} </td> <td><a href="/wiki/Rhombicuboctahedron" title="Rhombicuboctahedron">rr{4,3}</a><br />s<sub>2</sub>{3,4} </td> <td><a class="mw-selflink selflink">tr{4,3}</a> </td> <td><a href="/wiki/Snub_cube" title="Snub cube">sr{4,3}</a> </td> <td><a href="/wiki/Tetrahedron" title="Tetrahedron">h{4,3}</a><br />{3,3} </td> <td><a href="/wiki/Truncated_tetrahedron" title="Truncated tetrahedron">h<sub>2</sub>{4,3}</a><br />t{3,3} </td> <td><a href="/wiki/Pseudoicosahedron" class="mw-redirect" title="Pseudoicosahedron">s{3,4}</a><br />s{3<sup>1,1</sup>} </td></tr> <tr style="vertical-align:top;"> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td> </td> <td> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td></tr> <tr style="vertical-align:top;"> <td> </td> <td> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span><br />= <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_nodes_11.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />= <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_nodes_11.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span><br />= <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/1/1f/CDel_nodes.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td> </td> <td> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/4/48/CDel_node_h1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> =<br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_nodes_10ru.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> or <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/3c/CDel_nodes_01rd.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/4/48/CDel_node_h1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> =<br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_nodes_10ru.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> or <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/3c/CDel_nodes_01rd.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td style="text-align:left;"><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> =<br /><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9c/CDel_nodes_hh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td></tr> <tr style="text-align:center;vertical-align:top;"> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Uniform_polyhedron-43-t0.svg/40px-Uniform_polyhedron-43-t0.svg.png" decoding="async" width="40" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Uniform_polyhedron-43-t0.svg/60px-Uniform_polyhedron-43-t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/69/Uniform_polyhedron-43-t0.svg/80px-Uniform_polyhedron-43-t0.svg.png 2x" data-file-width="731" data-file-height="709" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-t01.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Uniform_polyhedron-43-t01.svg/40px-Uniform_polyhedron-43-t01.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Uniform_polyhedron-43-t01.svg/60px-Uniform_polyhedron-43-t01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Uniform_polyhedron-43-t01.svg/80px-Uniform_polyhedron-43-t01.svg.png 2x" data-file-width="799" data-file-height="800" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-t1.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/df/Uniform_polyhedron-43-t1.svg/40px-Uniform_polyhedron-43-t1.svg.png" decoding="async" width="40" height="34" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/df/Uniform_polyhedron-43-t1.svg/60px-Uniform_polyhedron-43-t1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/df/Uniform_polyhedron-43-t1.svg/80px-Uniform_polyhedron-43-t1.svg.png 2x" data-file-width="1081" data-file-height="907" /></a></span><br /><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-t02.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Uniform_polyhedron-33-t02.svg/40px-Uniform_polyhedron-33-t02.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Uniform_polyhedron-33-t02.svg/60px-Uniform_polyhedron-33-t02.svg.png 1.5x, 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src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Uniform_polyhedron-43-t02.png/40px-Uniform_polyhedron-43-t02.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Uniform_polyhedron-43-t02.png/60px-Uniform_polyhedron-43-t02.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Uniform_polyhedron-43-t02.png/80px-Uniform_polyhedron-43-t02.png 2x" data-file-width="738" data-file-height="764" /></a></span><br /><span typeof="mw:File"><a href="/wiki/File:Rhombicuboctahedron_uniform_edge_coloring.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Rhombicuboctahedron_uniform_edge_coloring.png/40px-Rhombicuboctahedron_uniform_edge_coloring.png" decoding="async" width="40" height="42" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Rhombicuboctahedron_uniform_edge_coloring.png/60px-Rhombicuboctahedron_uniform_edge_coloring.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/00/Rhombicuboctahedron_uniform_edge_coloring.png/80px-Rhombicuboctahedron_uniform_edge_coloring.png 2x" data-file-width="754" data-file-height="784" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Uniform_polyhedron-43-t012.png/40px-Uniform_polyhedron-43-t012.png" decoding="async" width="40" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Uniform_polyhedron-43-t012.png/60px-Uniform_polyhedron-43-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Uniform_polyhedron-43-t012.png/80px-Uniform_polyhedron-43-t012.png 2x" data-file-width="782" data-file-height="763" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-s012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Uniform_polyhedron-43-s012.png/40px-Uniform_polyhedron-43-s012.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Uniform_polyhedron-43-s012.png/60px-Uniform_polyhedron-43-s012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/57/Uniform_polyhedron-43-s012.png/80px-Uniform_polyhedron-43-s012.png 2x" data-file-width="1000" data-file-height="1000" /></a></span> </td> <td style="vertical-align:bottom;"><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-t0.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Uniform_polyhedron-33-t0.png/30px-Uniform_polyhedron-33-t0.png" decoding="async" width="30" height="32" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Uniform_polyhedron-33-t0.png/45px-Uniform_polyhedron-33-t0.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Uniform_polyhedron-33-t0.png/60px-Uniform_polyhedron-33-t0.png 2x" data-file-width="632" data-file-height="681" /></a></span><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-t2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Uniform_polyhedron-33-t2.png/30px-Uniform_polyhedron-33-t2.png" decoding="async" width="30" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Uniform_polyhedron-33-t2.png/45px-Uniform_polyhedron-33-t2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/07/Uniform_polyhedron-33-t2.png/60px-Uniform_polyhedron-33-t2.png 2x" data-file-width="661" data-file-height="594" /></a></span> </td> <td style="vertical-align:bottom;"><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-t01.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Uniform_polyhedron-33-t01.png/30px-Uniform_polyhedron-33-t01.png" decoding="async" width="30" height="32" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Uniform_polyhedron-33-t01.png/45px-Uniform_polyhedron-33-t01.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9e/Uniform_polyhedron-33-t01.png/60px-Uniform_polyhedron-33-t01.png 2x" data-file-width="688" data-file-height="728" /></a></span><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-t12.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Uniform_polyhedron-33-t12.png/30px-Uniform_polyhedron-33-t12.png" decoding="async" width="30" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Uniform_polyhedron-33-t12.png/45px-Uniform_polyhedron-33-t12.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Uniform_polyhedron-33-t12.png/60px-Uniform_polyhedron-33-t12.png 2x" data-file-width="736" data-file-height="687" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-43-h01.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Uniform_polyhedron-43-h01.svg/40px-Uniform_polyhedron-43-h01.svg.png" decoding="async" width="40" height="36" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Uniform_polyhedron-43-h01.svg/60px-Uniform_polyhedron-43-h01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Uniform_polyhedron-43-h01.svg/80px-Uniform_polyhedron-43-h01.svg.png 2x" data-file-width="240" data-file-height="217" /></a></span><br /><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-33-s012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Uniform_polyhedron-33-s012.svg/40px-Uniform_polyhedron-33-s012.svg.png" decoding="async" width="40" height="36" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Uniform_polyhedron-33-s012.svg/60px-Uniform_polyhedron-33-s012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Uniform_polyhedron-33-s012.svg/80px-Uniform_polyhedron-33-s012.svg.png 2x" data-file-width="750" data-file-height="675" /></a></span> </td></tr> <tr style="text-align:center;"> <th colspan="11">Duals to uniform polyhedra </th></tr> <tr style="text-align:center;"> <td><a href="/wiki/Octahedron" title="Octahedron">V4<sup>3</sup></a> </td> <td><a href="/wiki/Triakis_octahedron" title="Triakis octahedron">V3.8<sup>2</sup></a> </td> <td><a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">V(3.4)<sup>2</sup></a> </td> <td><a href="/wiki/Tetrakis_hexahedron" title="Tetrakis hexahedron">V4.6<sup>2</sup></a> </td> <td><a href="/wiki/Cube" title="Cube">V3<sup>4</sup></a> </td> <td><a href="/wiki/Deltoidal_icositetrahedron" title="Deltoidal icositetrahedron">V3.4<sup>3</sup></a> </td> <td><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">V4.6.8</a> </td> <td><a href="/wiki/Pentagonal_icositetrahedron" title="Pentagonal icositetrahedron">V3<sup>4</sup>.4</a> </td> <td><a href="/wiki/Tetrahedron" title="Tetrahedron">V3<sup>3</sup></a> </td> <td><a href="/wiki/Triakis_tetrahedron" title="Triakis tetrahedron">V3.6<sup>2</sup></a> </td> <td><a href="/wiki/Pyritohedron" class="mw-redirect" title="Pyritohedron">V3<sup>5</sup></a> </td></tr> <tr style="text-align:center;vertical-align:top;"> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td></tr> <tr style="text-align:center;vertical-align:top;"> <td> </td> <td> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td> </td> <td> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size 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class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Pentagonalicositetrahedronccw.jpg/40px-Pentagonalicositetrahedronccw.jpg" decoding="async" width="40" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Pentagonalicositetrahedronccw.jpg/60px-Pentagonalicositetrahedronccw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Pentagonalicositetrahedronccw.jpg/80px-Pentagonalicositetrahedronccw.jpg 2x" data-file-width="829" data-file-height="813" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Tetrahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/40px-Tetrahedron.svg.png" decoding="async" width="40" height="38" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/60px-Tetrahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/80px-Tetrahedron.svg.png 2x" data-file-width="567" data-file-height="533" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Triakistetrahedron.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Triakistetrahedron.jpg/40px-Triakistetrahedron.jpg" decoding="async" width="40" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Triakistetrahedron.jpg/60px-Triakistetrahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/de/Triakistetrahedron.jpg/80px-Triakistetrahedron.jpg 2x" data-file-width="681" data-file-height="766" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Dodecahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/40px-Dodecahedron.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/60px-Dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/80px-Dodecahedron.svg.png 2x" data-file-width="300" data-file-height="300" /></a></span> </td></tr></tbody></table> <p>This polyhedron can be considered a member of a sequence of uniform patterns with <a href="/wiki/Vertex_configuration" title="Vertex configuration">vertex configuration</a> (4.6.2<i>p</i>) and <a href="/wiki/Coxeter-Dynkin_diagram" class="mw-redirect" title="Coxeter-Dynkin diagram">Coxeter-Dynkin diagram</a> <span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/0/0e/CDel_p.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span>. For <i>p</i> < 6, the members of the sequence are <a href="/wiki/Omnitruncation_(geometry)" class="mw-redirect" title="Omnitruncation (geometry)">omnitruncated</a> polyhedra (<a href="/wiki/Zonohedron" title="Zonohedron">zonohedrons</a>), shown below as spherical tilings. For <i>p</i> < 6, they are tilings of the hyperbolic plane, starting with the <a href="/wiki/Truncated_triheptagonal_tiling" title="Truncated triheptagonal tiling">truncated triheptagonal tiling</a>. </p> <table class="wikitable mw-collapsible mw-collapsed"> <tbody><tr> <th colspan="13">*<i>n</i>32 symmetry mutation of omnitruncated tilings: 4.6.2<i>n</i> <style data-mw-deduplicate="TemplateStyles:r1129693374">.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 .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output 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dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini" style="float:right;"><ul class="navbar-brackets"><li class="nv-view"><a href="/wiki/Template:Omnitruncated_table" title="Template:Omnitruncated table"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Omnitruncated_table" title="Template talk:Omnitruncated table"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Omnitruncated_table" title="Special:EditPage/Template:Omnitruncated table"><abbr title="Edit this template">e</abbr></a></li></ul></div> </th></tr> <tr> <th rowspan="2">Sym.<br /><a href="/wiki/Orbifold_notation" title="Orbifold notation">*<i>n</i>32</a><br /><a href="/wiki/Coxeter_notation" title="Coxeter notation">[<i>n</i>,3]</a> </th> <th colspan="4"><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">Spherical</a> </th> <th><a href="/wiki/List_of_planar_symmetry_groups" title="List of planar symmetry groups">Euclid.</a> </th> <th colspan="2">Compact hyperb. </th> <th>Paraco. </th> <th colspan="4">Noncompact hyperbolic </th></tr> <tr style="vertical-align:top;"> <th>*232<br />[2,3] </th> <th>*332<br />[3,3] </th> <th>*432<br />[4,3] </th> <th>*532<br />[5,3] </th> <th>*632<br />[6,3] </th> <th>*732<br />[7,3] </th> <th>*832<br />[8,3] </th> <th>*∞32<br />[∞,3] </th> <th> <br />[12i,3] </th> <th> <br />[9i,3] </th> <th> <br />[6i,3] </th> <th> <br />[3i,3] </th></tr> <tr style="text-align:center;"> <th>Figures </th> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_truncated_trigonal_prism.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Spherical_truncated_trigonal_prism.png/50px-Spherical_truncated_trigonal_prism.png" decoding="async" width="50" height="49" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Spherical_truncated_trigonal_prism.png/75px-Spherical_truncated_trigonal_prism.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Spherical_truncated_trigonal_prism.png/100px-Spherical_truncated_trigonal_prism.png 2x" data-file-width="872" data-file-height="859" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_332-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Uniform_tiling_332-t012.png/50px-Uniform_tiling_332-t012.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Uniform_tiling_332-t012.png/75px-Uniform_tiling_332-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/50/Uniform_tiling_332-t012.png/100px-Uniform_tiling_332-t012.png 2x" data-file-width="815" data-file-height="819" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_432-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/50px-Uniform_tiling_432-t012.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/75px-Uniform_tiling_432-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/100px-Uniform_tiling_432-t012.png 2x" data-file-width="825" data-file-height="830" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_532-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Uniform_tiling_532-t012.png/50px-Uniform_tiling_532-t012.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Uniform_tiling_532-t012.png/75px-Uniform_tiling_532-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/55/Uniform_tiling_532-t012.png/100px-Uniform_tiling_532-t012.png 2x" data-file-width="828" data-file-height="826" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_polyhedron-63-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Uniform_polyhedron-63-t012.png/50px-Uniform_polyhedron-63-t012.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Uniform_polyhedron-63-t012.png/75px-Uniform_polyhedron-63-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Uniform_polyhedron-63-t012.png/100px-Uniform_polyhedron-63-t012.png 2x" data-file-width="801" data-file-height="802" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Truncated_triheptagonal_tiling.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Truncated_triheptagonal_tiling.svg/50px-Truncated_triheptagonal_tiling.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Truncated_triheptagonal_tiling.svg/75px-Truncated_triheptagonal_tiling.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Truncated_triheptagonal_tiling.svg/100px-Truncated_triheptagonal_tiling.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2-8-3-omnitruncated.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/H2-8-3-omnitruncated.svg/50px-H2-8-3-omnitruncated.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/H2-8-3-omnitruncated.svg/75px-H2-8-3-omnitruncated.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f8/H2-8-3-omnitruncated.svg/100px-H2-8-3-omnitruncated.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_23i-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/H2_tiling_23i-7.png/50px-H2_tiling_23i-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/H2_tiling_23i-7.png/75px-H2_tiling_23i-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/H2_tiling_23i-7.png/100px-H2_tiling_23i-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_23j12-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/H2_tiling_23j12-7.png/50px-H2_tiling_23j12-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/H2_tiling_23j12-7.png/75px-H2_tiling_23j12-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/H2_tiling_23j12-7.png/100px-H2_tiling_23j12-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_23j9-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/H2_tiling_23j9-7.png/50px-H2_tiling_23j9-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/H2_tiling_23j9-7.png/75px-H2_tiling_23j9-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/H2_tiling_23j9-7.png/100px-H2_tiling_23j9-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_23j6-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/H2_tiling_23j6-7.png/50px-H2_tiling_23j6-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/H2_tiling_23j6-7.png/75px-H2_tiling_23j6-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/69/H2_tiling_23j6-7.png/100px-H2_tiling_23j6-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_23j3-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_23j3-7.png/50px-H2_tiling_23j3-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_23j3-7.png/75px-H2_tiling_23j3-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_23j3-7.png/100px-H2_tiling_23j3-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td></tr> <tr style="text-align:center;"> <th><a href="/wiki/Vertex_configuration" title="Vertex configuration">Config.</a> </th> <td><a href="/wiki/Hexagonal_prism" title="Hexagonal prism">4.6.4</a> </td> <td><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">4.6.6</a> </td> <td><a class="mw-selflink selflink">4.6.8</a> </td> <td><a href="/wiki/Truncated_icosidodecahedron" title="Truncated icosidodecahedron">4.6.10</a> </td> <td><a href="/wiki/Truncated_trihexagonal_tiling" title="Truncated trihexagonal tiling">4.6.12</a> </td> <td><a href="/wiki/Truncated_triheptagonal_tiling" title="Truncated triheptagonal tiling">4.6.14</a> </td> <td><a href="/wiki/Truncated_trioctagonal_tiling" title="Truncated trioctagonal tiling">4.6.16</a> </td> <td><a href="/wiki/Truncated_triapeirogonal_tiling" title="Truncated triapeirogonal tiling">4.6.∞</a> </td> <td>4.6.24i </td> <td>4.6.18i </td> <td>4.6.12i </td> <td>4.6.6i </td></tr> <tr style="text-align:center;"> <th>Duals </th> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_hexagonal_bipyramid.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Spherical_hexagonal_bipyramid.svg/50px-Spherical_hexagonal_bipyramid.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Spherical_hexagonal_bipyramid.svg/75px-Spherical_hexagonal_bipyramid.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Spherical_hexagonal_bipyramid.svg/100px-Spherical_hexagonal_bipyramid.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_tetrakis_hexahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Spherical_tetrakis_hexahedron.svg/50px-Spherical_tetrakis_hexahedron.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Spherical_tetrakis_hexahedron.svg/75px-Spherical_tetrakis_hexahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Spherical_tetrakis_hexahedron.svg/100px-Spherical_tetrakis_hexahedron.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_disdyakis_dodecahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/50px-Spherical_disdyakis_dodecahedron.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/75px-Spherical_disdyakis_dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/100px-Spherical_disdyakis_dodecahedron.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_disdyakis_triacontahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Spherical_disdyakis_triacontahedron.svg/50px-Spherical_disdyakis_triacontahedron.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Spherical_disdyakis_triacontahedron.svg/75px-Spherical_disdyakis_triacontahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/68/Spherical_disdyakis_triacontahedron.svg/100px-Spherical_disdyakis_triacontahedron.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg/50px-Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg/75px-Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg/100px-Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg.png 2x" data-file-width="400" data-file-height="400" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_237.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/H2checkers_237.png/50px-H2checkers_237.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/H2checkers_237.png/75px-H2checkers_237.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/H2checkers_237.png/100px-H2checkers_237.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_238.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/H2checkers_238.png/50px-H2checkers_238.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/H2checkers_238.png/75px-H2checkers_238.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f6/H2checkers_238.png/100px-H2checkers_238.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_23i.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/H2checkers_23i.png/50px-H2checkers_23i.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/04/H2checkers_23i.png/75px-H2checkers_23i.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/04/H2checkers_23i.png/100px-H2checkers_23i.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_checkers_23j12.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/H2_checkers_23j12.png/50px-H2_checkers_23j12.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/H2_checkers_23j12.png/75px-H2_checkers_23j12.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/16/H2_checkers_23j12.png/100px-H2_checkers_23j12.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_checkers_23j9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/H2_checkers_23j9.png/50px-H2_checkers_23j9.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/H2_checkers_23j9.png/75px-H2_checkers_23j9.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/46/H2_checkers_23j9.png/100px-H2_checkers_23j9.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_checkers_23j6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/H2_checkers_23j6.png/50px-H2_checkers_23j6.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/H2_checkers_23j6.png/75px-H2_checkers_23j6.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2f/H2_checkers_23j6.png/100px-H2_checkers_23j6.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_checkers_23j3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/H2_checkers_23j3.png/50px-H2_checkers_23j3.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/H2_checkers_23j3.png/75px-H2_checkers_23j3.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/H2_checkers_23j3.png/100px-H2_checkers_23j3.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td></tr> <tr style="text-align:center;"> <th><a href="/wiki/Face_configuration" class="mw-redirect" title="Face configuration">Config.</a> </th> <td><a href="/wiki/Hexagonal_bipyramid" title="Hexagonal bipyramid">V4.6.4</a> </td> <td><a href="/wiki/Tetrakis_hexahedron" title="Tetrakis hexahedron">V4.6.6</a> </td> <td><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">V4.6.8</a> </td> <td><a href="/wiki/Disdyakis_triacontahedron" title="Disdyakis triacontahedron">V4.6.10</a> </td> <td><a href="/wiki/Kisrhombille_tiling" class="mw-redirect" title="Kisrhombille tiling">V4.6.12</a> </td> <td><a href="/wiki/Order_3-7_kisrhombille" class="mw-redirect" title="Order 3-7 kisrhombille">V4.6.14</a> </td> <td><a href="/wiki/Order_3-8_kisrhombille" class="mw-redirect" title="Order 3-8 kisrhombille">V4.6.16</a> </td> <td>V4.6.∞ </td> <td>V4.6.24i </td> <td>V4.6.18i </td> <td>V4.6.12i </td> <td>V4.6.6i </td></tr></tbody></table> <table class="wikitable mw-collapsible mw-collapsed"> <tbody><tr> <th colspan="9">*<i>n</i>42 symmetry mutation of omnitruncated tilings: 4.8.2<i>n</i> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini" style="float:right;"><ul class="navbar-brackets"><li class="nv-view"><a href="/wiki/Template:Omnitruncated4_table" title="Template:Omnitruncated4 table"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Omnitruncated4_table" title="Template talk:Omnitruncated4 table"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Omnitruncated4_table" title="Special:EditPage/Template:Omnitruncated4 table"><abbr title="Edit this template">e</abbr></a></li></ul></div> </th></tr> <tr> <th rowspan="2">Symmetry<br />*<i>n</i>42<br />[n,4] </th> <th colspan="2"><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">Spherical</a> </th> <th><a href="/wiki/List_of_planar_symmetry_groups" title="List of planar symmetry groups">Euclidean</a> </th> <th colspan="4">Compact hyperbolic </th> <th>Paracomp. </th></tr> <tr style="vertical-align:top;"> <th>*242<br />[2,4] </th> <th>*342<br />[3,4] </th> <th>*442<br />[4,4] </th> <th>*542<br />[5,4] </th> <th>*642<br />[6,4] </th> <th>*742<br />[7,4] </th> <th>*842<br />[8,4]... </th> <th>*∞42<br />[∞,4] </th></tr> <tr style="text-align:center;"> <th>Omnitruncated<br />figure </th> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_octagonal_prism2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Spherical_octagonal_prism2.png/60px-Spherical_octagonal_prism2.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Spherical_octagonal_prism2.png/90px-Spherical_octagonal_prism2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Spherical_octagonal_prism2.png/120px-Spherical_octagonal_prism2.png 2x" data-file-width="850" data-file-height="856" /></a></span><br /><a href="/wiki/Octagonal_prism" title="Octagonal prism">4.8.4</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_432-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/60px-Uniform_tiling_432-t012.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/90px-Uniform_tiling_432-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/120px-Uniform_tiling_432-t012.png 2x" data-file-width="825" data-file-height="830" /></a></span><br /><a class="mw-selflink selflink">4.8.6</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_44-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Uniform_tiling_44-t012.png/60px-Uniform_tiling_44-t012.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Uniform_tiling_44-t012.png/90px-Uniform_tiling_44-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Uniform_tiling_44-t012.png/120px-Uniform_tiling_44-t012.png 2x" data-file-width="622" data-file-height="617" /></a></span><br /><a href="/wiki/Truncated_square_tiling" title="Truncated square tiling">4.8.8</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2-5-4-omnitruncated.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/H2-5-4-omnitruncated.svg/60px-H2-5-4-omnitruncated.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/H2-5-4-omnitruncated.svg/90px-H2-5-4-omnitruncated.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/H2-5-4-omnitruncated.svg/120px-H2-5-4-omnitruncated.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span><br /><a href="/wiki/Truncated_tetrapentagonal_tiling" title="Truncated tetrapentagonal tiling">4.8.10</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_246-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/H2_tiling_246-7.png/60px-H2_tiling_246-7.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/H2_tiling_246-7.png/90px-H2_tiling_246-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/H2_tiling_246-7.png/120px-H2_tiling_246-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span><br /><a href="/wiki/Truncated_tetrahexagonal_tiling" title="Truncated tetrahexagonal tiling">4.8.12</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_247-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/H2_tiling_247-7.png/60px-H2_tiling_247-7.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/H2_tiling_247-7.png/90px-H2_tiling_247-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6c/H2_tiling_247-7.png/120px-H2_tiling_247-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span><br /><a href="/wiki/Truncated_tetraheptagonal_tiling" title="Truncated tetraheptagonal tiling">4.8.14</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_248-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/H2_tiling_248-7.png/60px-H2_tiling_248-7.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/H2_tiling_248-7.png/90px-H2_tiling_248-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/H2_tiling_248-7.png/120px-H2_tiling_248-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span><br /><a href="/wiki/Truncated_tetraoctagonal_tiling" title="Truncated tetraoctagonal tiling">4.8.16</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_24i-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/H2_tiling_24i-7.png/60px-H2_tiling_24i-7.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/H2_tiling_24i-7.png/90px-H2_tiling_24i-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/de/H2_tiling_24i-7.png/120px-H2_tiling_24i-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span><br /><a href="/wiki/Truncated_tetraapeirogonal_tiling" title="Truncated tetraapeirogonal tiling">4.8.∞</a> </td></tr> <tr style="text-align:center"> <th>Omnitruncated<br />duals </th> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_octagonal_bipyramid2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Spherical_octagonal_bipyramid2.png/60px-Spherical_octagonal_bipyramid2.png" decoding="async" width="60" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Spherical_octagonal_bipyramid2.png/90px-Spherical_octagonal_bipyramid2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Spherical_octagonal_bipyramid2.png/120px-Spherical_octagonal_bipyramid2.png 2x" data-file-width="791" data-file-height="774" /></a></span><br /><a href="/wiki/Octagonal_bipyramid" class="mw-redirect" title="Octagonal bipyramid">V4.8.4</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_disdyakis_dodecahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/60px-Spherical_disdyakis_dodecahedron.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/90px-Spherical_disdyakis_dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/120px-Spherical_disdyakis_dodecahedron.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span><br /><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">V4.8.6</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:1-uniform_2_dual.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/1-uniform_2_dual.svg/60px-1-uniform_2_dual.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/1-uniform_2_dual.svg/90px-1-uniform_2_dual.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/1-uniform_2_dual.svg/120px-1-uniform_2_dual.svg.png 2x" data-file-width="1000" data-file-height="1000" /></a></span><br /><a href="/wiki/Tetrakis_square_tiling" title="Tetrakis square tiling">V4.8.8</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2-5-4-kisrhombille.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/84/H2-5-4-kisrhombille.svg/60px-H2-5-4-kisrhombille.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/84/H2-5-4-kisrhombille.svg/90px-H2-5-4-kisrhombille.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/84/H2-5-4-kisrhombille.svg/120px-H2-5-4-kisrhombille.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span><br /><a href="/wiki/4-5_kisrhombille" title="4-5 kisrhombille">V4.8.10</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Hyperbolic_domains_642.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Hyperbolic_domains_642.png/60px-Hyperbolic_domains_642.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Hyperbolic_domains_642.png/90px-Hyperbolic_domains_642.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/60/Hyperbolic_domains_642.png/120px-Hyperbolic_domains_642.png 2x" data-file-width="4096" data-file-height="4096" /></a></span><br />V4.8.12 </td> <td><span typeof="mw:File"><a href="/wiki/File:Hyperbolic_domains_742.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Hyperbolic_domains_742.png/60px-Hyperbolic_domains_742.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Hyperbolic_domains_742.png/90px-Hyperbolic_domains_742.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Hyperbolic_domains_742.png/120px-Hyperbolic_domains_742.png 2x" data-file-width="955" data-file-height="953" /></a></span><br />V4.8.14 </td> <td><span typeof="mw:File"><a href="/wiki/File:Hyperbolic_domains_842.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Hyperbolic_domains_842.png/60px-Hyperbolic_domains_842.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Hyperbolic_domains_842.png/90px-Hyperbolic_domains_842.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Hyperbolic_domains_842.png/120px-Hyperbolic_domains_842.png 2x" data-file-width="954" data-file-height="952" /></a></span><br />V4.8.16 </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_24i.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/H2checkers_24i.png/60px-H2checkers_24i.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/H2checkers_24i.png/90px-H2checkers_24i.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/H2checkers_24i.png/120px-H2checkers_24i.png 2x" data-file-width="2520" data-file-height="2520" /></a></span><br />V4.8.∞ </td></tr></tbody></table> <table class="wikitable mw-collapsible mw-collapsed"> <tbody><tr> <th colspan="13">*<i>n</i>32 symmetry mutation of omnitruncated tilings: <i>6.8.2n</i> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini" style="float:right;"><ul class="navbar-brackets"><li class="nv-view"><a href="/wiki/Template:Omnitruncated34_table" title="Template:Omnitruncated34 table"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Omnitruncated34_table" title="Template talk:Omnitruncated34 table"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Omnitruncated34_table" title="Special:EditPage/Template:Omnitruncated34 table"><abbr title="Edit this template">e</abbr></a></li></ul></div> </th></tr> <tr> <th rowspan="2">Sym.<br /><a href="/wiki/Orbifold_notation" title="Orbifold notation">*<i>n</i>43</a><br /><a href="/wiki/Coxeter_notation" title="Coxeter notation">[(<i>n</i>,4,3)]</a> </th> <th><a href="/wiki/List_of_spherical_symmetry_groups" title="List of spherical symmetry groups">Spherical</a> </th> <th colspan="6">Compact hyperbolic </th> <th>Paraco. </th></tr> <tr style="vertical-align:top;"> <th>*243<br />[4,3] </th> <th>*343<br />[(3,4,3)] </th> <th>*443<br />[(4,4,3)] </th> <th>*543<br />[(5,4,3)] </th> <th>*643<br />[(6,4,3)] </th> <th>*743<br />[(7,4,3)] </th> <th>*843<br />[(8,4,3)] </th> <th>*∞43<br />[(∞,4,3)] </th></tr> <tr style="text-align:center;"> <th>Figures </th> <td><span typeof="mw:File"><a href="/wiki/File:Uniform_tiling_432-t012.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/50px-Uniform_tiling_432-t012.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/75px-Uniform_tiling_432-t012.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Uniform_tiling_432-t012.png/100px-Uniform_tiling_432-t012.png 2x" data-file-width="825" data-file-height="830" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_334-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/H2_tiling_334-7.png/50px-H2_tiling_334-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/H2_tiling_334-7.png/75px-H2_tiling_334-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8f/H2_tiling_334-7.png/100px-H2_tiling_334-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_344-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/H2_tiling_344-7.png/50px-H2_tiling_344-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/H2_tiling_344-7.png/75px-H2_tiling_344-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/aa/H2_tiling_344-7.png/100px-H2_tiling_344-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_345-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/H2_tiling_345-7.png/50px-H2_tiling_345-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/H2_tiling_345-7.png/75px-H2_tiling_345-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/H2_tiling_345-7.png/100px-H2_tiling_345-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_346-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/H2_tiling_346-7.png/50px-H2_tiling_346-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/H2_tiling_346-7.png/75px-H2_tiling_346-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ed/H2_tiling_346-7.png/100px-H2_tiling_346-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_347-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_347-7.png/50px-H2_tiling_347-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_347-7.png/75px-H2_tiling_347-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/09/H2_tiling_347-7.png/100px-H2_tiling_347-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_348-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/H2_tiling_348-7.png/50px-H2_tiling_348-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/H2_tiling_348-7.png/75px-H2_tiling_348-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/H2_tiling_348-7.png/100px-H2_tiling_348-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2_tiling_34i-7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/H2_tiling_34i-7.png/50px-H2_tiling_34i-7.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/H2_tiling_34i-7.png/75px-H2_tiling_34i-7.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2a/H2_tiling_34i-7.png/100px-H2_tiling_34i-7.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td></tr> <tr style="text-align:center;"> <th><a href="/wiki/Vertex_configuration" title="Vertex configuration">Config.</a> </th> <td><a class="mw-selflink selflink">4.8.6</a> </td> <td><a href="/wiki/Truncated_order-8_triangular_tiling" title="Truncated order-8 triangular tiling">6.8.6</a> </td> <td><a href="/wiki/Truncated_order-6_square_tiling" title="Truncated order-6 square tiling">8.8.6</a> </td> <td>10.8.6 </td> <td>12.8.6 </td> <td>14.8.6 </td> <td>16.8.6 </td> <td>∞.8.6 </td></tr> <tr style="text-align:center;"> <th>Duals </th> <td><span typeof="mw:File"><a href="/wiki/File:Spherical_disdyakis_dodecahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/50px-Spherical_disdyakis_dodecahedron.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/75px-Spherical_disdyakis_dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Spherical_disdyakis_dodecahedron.svg/100px-Spherical_disdyakis_dodecahedron.svg.png 2x" data-file-width="577" data-file-height="577" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_334.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/H2checkers_334.png/50px-H2checkers_334.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/H2checkers_334.png/75px-H2checkers_334.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/H2checkers_334.png/100px-H2checkers_334.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_344.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/H2checkers_344.png/50px-H2checkers_344.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/H2checkers_344.png/75px-H2checkers_344.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/H2checkers_344.png/100px-H2checkers_344.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_345.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/H2checkers_345.png/50px-H2checkers_345.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/H2checkers_345.png/75px-H2checkers_345.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/H2checkers_345.png/100px-H2checkers_345.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_346.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/H2checkers_346.png/50px-H2checkers_346.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/H2checkers_346.png/75px-H2checkers_346.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/H2checkers_346.png/100px-H2checkers_346.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_347.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/H2checkers_347.png/50px-H2checkers_347.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/H2checkers_347.png/75px-H2checkers_347.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/54/H2checkers_347.png/100px-H2checkers_347.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_348.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/H2checkers_348.png/50px-H2checkers_348.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/H2checkers_348.png/75px-H2checkers_348.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e9/H2checkers_348.png/100px-H2checkers_348.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:H2checkers_34i.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/H2checkers_34i.png/50px-H2checkers_34i.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/H2checkers_34i.png/75px-H2checkers_34i.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/H2checkers_34i.png/100px-H2checkers_34i.png 2x" data-file-width="2520" data-file-height="2520" /></a></span> </td></tr> <tr style="text-align:center;"> <th><a href="/wiki/Face_configuration" class="mw-redirect" title="Face configuration">Config.</a> </th> <td><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">V4.8.6</a> </td> <td>V6.8.6 </td> <td>V8.8.6 </td> <td>V10.8.6 </td> <td>V12.8.6 </td> <td>V14.8.6 </td> <td>V16.8.6 </td> <td>V6.8.∞ </td></tr></tbody></table> <p>It is first in a series of cantitruncated hypercubes: </p> <table class="wikitable"> <caption><a href="/wiki/Petrie_polygon" title="Petrie polygon">Petrie polygon</a> projections </caption> <tbody><tr align="center"> <td><span typeof="mw:File"><a href="/wiki/File:3-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/60px-3-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/90px-3-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8c/3-cube_t012.svg/120px-3-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-cube_t012_B2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/4-cube_t012_B2.svg/60px-4-cube_t012_B2.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/4-cube_t012_B2.svg/90px-4-cube_t012_B2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/25/4-cube_t012_B2.svg/120px-4-cube_t012_B2.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:4-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/4-cube_t012.svg/60px-4-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/4-cube_t012.svg/90px-4-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/87/4-cube_t012.svg/120px-4-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-cube_t012_A3.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/4-cube_t012_A3.svg/60px-4-cube_t012_A3.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/4-cube_t012_A3.svg/90px-4-cube_t012_A3.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/16/4-cube_t012_A3.svg/120px-4-cube_t012_A3.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:5-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/5-cube_t012.svg/60px-5-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/5-cube_t012.svg/90px-5-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/5-cube_t012.svg/120px-5-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:5-cube_t012_A3.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/5-cube_t012_A3.svg/60px-5-cube_t012_A3.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/5-cube_t012_A3.svg/90px-5-cube_t012_A3.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/5-cube_t012_A3.svg/120px-5-cube_t012_A3.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:6-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/6-cube_t012.svg/60px-6-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/6-cube_t012.svg/90px-6-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/68/6-cube_t012.svg/120px-6-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:6-cube_t012_A5.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/6-cube_t012_A5.svg/60px-6-cube_t012_A5.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/6-cube_t012_A5.svg/90px-6-cube_t012_A5.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/6-cube_t012_A5.svg/120px-6-cube_t012_A5.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:7-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/7-cube_t012.svg/60px-7-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/7-cube_t012.svg/90px-7-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/7-cube_t012.svg/120px-7-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:7-cube_t012_A5.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/7-cube_t012_A5.svg/60px-7-cube_t012_A5.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/7-cube_t012_A5.svg/90px-7-cube_t012_A5.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/7-cube_t012_A5.svg/120px-7-cube_t012_A5.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:8-cube_t012.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/8-cube_t012.svg/60px-8-cube_t012.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/8-cube_t012.svg/90px-8-cube_t012.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f9/8-cube_t012.svg/120px-8-cube_t012.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:8-cube_t012_A7.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/8-cube_t012_A7.svg/60px-8-cube_t012_A7.svg.png" decoding="async" width="60" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/8-cube_t012_A7.svg/90px-8-cube_t012_A7.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/8-cube_t012_A7.svg/120px-8-cube_t012_A7.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td></tr> <tr align="center"> <td><a class="mw-selflink selflink">Truncated cuboctahedron</a> </td> <td><a href="/wiki/Cantitruncated_tesseract" class="mw-redirect" title="Cantitruncated tesseract">Cantitruncated tesseract</a> </td> <td><a href="/wiki/Cantitruncated_5-cube" class="mw-redirect" title="Cantitruncated 5-cube">Cantitruncated 5-cube</a> </td> <td><a href="/wiki/Cantitruncated_6-cube" class="mw-redirect" title="Cantitruncated 6-cube">Cantitruncated 6-cube</a> </td> <td><a href="/wiki/Cantitruncated_7-cube" class="mw-redirect" title="Cantitruncated 7-cube">Cantitruncated 7-cube</a> </td> <td><a href="/w/index.php?title=Cantitruncated_8-cube&action=edit&redlink=1" class="new" title="Cantitruncated 8-cube (page does not exist)">Cantitruncated 8-cube</a> </td></tr> <tr align="center"> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Truncated_cuboctahedral_graph">Truncated cuboctahedral graph</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=10" title="Edit section: Truncated cuboctahedral graph"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1279054141">@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-image img{background-color:var(--background-color-inverted,#f8f9fa)}html.skin-theme-clientpref-night .mw-parser-output .infobox-image img[src$="svg.png"]{filter:invert(1);background-color:transparent}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-image img{background-color:var(--background-color-inverted,#f8f9fa)}html.skin-theme-clientpref-os .mw-parser-output .infobox-image img[src$="svg.png"]{filter:invert(1);background-color:transparent}}</style><style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox"><tbody><tr><th colspan="2" class="infobox-above">Truncated cuboctahedral graph</th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Truncated_cuboctahedral_graph.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Truncated_cuboctahedral_graph.png/240px-Truncated_cuboctahedral_graph.png" decoding="async" width="240" height="240" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Truncated_cuboctahedral_graph.png/360px-Truncated_cuboctahedral_graph.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Truncated_cuboctahedral_graph.png/480px-Truncated_cuboctahedral_graph.png 2x" data-file-width="600" data-file-height="600" /></a></span><div class="infobox-caption">4-fold symmetry</div></td></tr><tr><th scope="row" class="infobox-label" style="width:50%;"><a href="/wiki/Vertex_(graph_theory)" title="Vertex (graph theory)">Vertices</a></th><td class="infobox-data">48</td></tr><tr><th scope="row" class="infobox-label" style="width:50%;"><a href="/wiki/Edge_(graph_theory)" class="mw-redirect" title="Edge (graph theory)">Edges</a></th><td class="infobox-data">72</td></tr><tr><th scope="row" class="infobox-label" style="width:50%;"><a href="/wiki/Graph_automorphism" title="Graph automorphism">Automorphisms</a></th><td class="infobox-data">48</td></tr><tr><th scope="row" class="infobox-label" style="width:50%;"><a href="/wiki/Chromatic_number" class="mw-redirect" title="Chromatic number">Chromatic number</a></th><td class="infobox-data">2</td></tr><tr><th scope="row" class="infobox-label" style="width:50%;">Properties</th><td class="infobox-data"><a href="/wiki/Cubic_graph" title="Cubic graph">Cubic</a>, <a href="/wiki/Hamiltonian_graph" class="mw-redirect" title="Hamiltonian graph">Hamiltonian</a>, <a href="/wiki/Regular_graph" title="Regular graph">regular</a>, <a href="/wiki/Zero-symmetric_graph" title="Zero-symmetric graph">zero-symmetric</a></td></tr><tr><td colspan="2" class="infobox-below"><a href="/wiki/List_of_graphs_by_edges_and_vertices" title="List of graphs by edges and vertices">Table of graphs and parameters</a></td></tr></tbody></table> <p>In the <a href="/wiki/Mathematics" title="Mathematics">mathematical</a> field of <a href="/wiki/Graph_theory" title="Graph theory">graph theory</a>, a <b>truncated cuboctahedral graph</b> (or <b>great rhombcuboctahedral graph</b>) is the <a href="/wiki/1-skeleton" class="mw-redirect" title="1-skeleton">graph of vertices and edges</a> of the truncated cuboctahedron, one of the <a href="/wiki/Archimedean_solid" title="Archimedean solid">Archimedean solids</a>. It has 48 <a href="/wiki/Vertex_(graph_theory)" title="Vertex (graph theory)">vertices</a> and 72 edges, and is a <a href="/wiki/Zero-symmetric_graph" title="Zero-symmetric graph">zero-symmetric</a> and <a href="/wiki/Cubic_graph" title="Cubic graph">cubic</a> <a href="/wiki/Archimedean_graph" title="Archimedean graph">Archimedean graph</a>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=11" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, 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href="/wiki/Snub_cube" title="Snub cube">Snub cube</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=12" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFWenninger1974" class="citation cs2"><a href="/wiki/Magnus_Wenninger" title="Magnus Wenninger">Wenninger, Magnus</a> (1974), <i>Polyhedron Models</i>, <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>, <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-09859-5" title="Special:BookSources/978-0-521-09859-5"><bdi>978-0-521-09859-5</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0467493">0467493</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Polyhedron+Models&rft.pub=Cambridge+University+Press&rft.date=1974&rft.isbn=978-0-521-09859-5&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D0467493%23id-name%3DMR&rft.aulast=Wenninger&rft.aufirst=Magnus&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span> (Model 15, p. 29)</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWilliams1979" class="citation book cs1"><a href="/wiki/Robert_Williams_(geometer)" title="Robert Williams (geometer)">Williams, Robert</a> (1979). <i>The Geometrical Foundation of Natural Structure: A Source Book of Design</i>. Dover Publications, Inc. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-23729-X" title="Special:BookSources/0-486-23729-X"><bdi>0-486-23729-X</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Geometrical+Foundation+of+Natural+Structure%3A+A+Source+Book+of+Design&rft.pub=Dover+Publications%2C+Inc&rft.date=1979&rft.isbn=0-486-23729-X&rft.aulast=Williams&rft.aufirst=Robert&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span> (Section 3-9, p. 82)</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Cromwell, P.; <a rel="nofollow" class="external text" href="https://books.google.com/books?id=OJowej1QWpoC&pg=PA82"><i>Polyhedra</i></a>, CUP hbk (1997), pbk. (1999). (p. 82)</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">B. M. Stewart, <i><a href="/wiki/Adventures_Among_the_Toroids" title="Adventures Among the Toroids">Adventures Among the Toroids</a></i> (1970) <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-686-11936-4" title="Special:BookSources/978-0-686-11936-4">978-0-686-11936-4</a></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFDoskey" class="citation web cs1">Doskey, Alex. <a rel="nofollow" class="external text" href="http://www.doskey.com/polyhedra/Stewart05.html">"Adventures Among the Toroids - Chapter 5 - Simplest (R)(A)(Q)(T) Toroids of genus p=1"</a>. <i>www.doskey.com</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.doskey.com&rft.atitle=Adventures+Among+the+Toroids+-+Chapter+5+-+Simplest+%28R%29%28A%29%28Q%29%28T%29+Toroids+of+genus+p%3D1&rft.aulast=Doskey&rft.aufirst=Alex&rft_id=http%3A%2F%2Fwww.doskey.com%2Fpolyhedra%2FStewart05.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.cgl.uwaterloo.ca/csk/papers/bridges2001.html">Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons</a> Craig S. Kaplan</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFReadWilson1998" class="citation cs2">Read, R. C.; Wilson, R. J. (1998), <i>An Atlas of Graphs</i>, <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a>, p. 269</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=An+Atlas+of+Graphs&rft.pages=269&rft.pub=Oxford+University+Press&rft.date=1998&rft.aulast=Read&rft.aufirst=R.+C.&rft.au=Wilson%2C+R.+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span></span> </li> </ol></div></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFCromwell,_P.1997" class="citation book cs1">Cromwell, P. (1997). <i>Polyhedra</i>. United Kingdom: Cambridge. pp. 79–86 <i>Archimedean solids</i>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-521-55432-2" title="Special:BookSources/0-521-55432-2"><bdi>0-521-55432-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Polyhedra&rft.place=United+Kingdom&rft.pages=79-86+%27%27Archimedean+solids%27%27&rft.pub=Cambridge&rft.date=1997&rft.isbn=0-521-55432-2&rft.au=Cromwell%2C+P.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Truncated_cuboctahedron&action=edit&section=13" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite id="Reference-Mathworld-Great_rhombicuboctahedron"><a href="/wiki/Eric_W._Weisstein" title="Eric W. Weisstein">Weisstein, Eric W.</a>, "<a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/GreatRhombicuboctahedron.html">Great rhombicuboctahedron</a>" ("<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/ArchimedeanSolid.html">Archimedean solid</a>") at <i><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></i>.</cite> <ul><li><span class="citation mathworld" id="Reference-Mathworld-Great_rhombicuboctahedral_graph"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWeisstein" class="citation web cs1"><a href="/wiki/Eric_W._Weisstein" title="Eric W. Weisstein">Weisstein, Eric W.</a> <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/GreatRhombicuboctahedralGraph.html">"Great rhombicuboctahedral graph"</a>. <i><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=MathWorld&rft.atitle=Great+rhombicuboctahedral+graph&rft.au=Weisstein%2C+Eric+W.&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FGreatRhombicuboctahedralGraph.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span></span></li></ul></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFKlitzing" class="citation web cs1">Klitzing, Richard. <a rel="nofollow" class="external text" href="https://bendwavy.org/klitzing/dimensions/polyhedra.htm">"3D convex uniform polyhedra x3x4x - girco"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=3D+convex+uniform+polyhedra+x3x4x+-+girco&rft.aulast=Klitzing&rft.aufirst=Richard&rft_id=https%3A%2F%2Fbendwavy.org%2Fklitzing%2Fdimensions%2Fpolyhedra.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATruncated+cuboctahedron" class="Z3988"></span></li> <li><a rel="nofollow" class="external text" href="http://www.dr-mikes-math-games-for-kids.com/polyhedral-nets.html?net=K1RB4IgXRIYFsRCy4aHC6dnfSy7rq2q4f3v4yl4nRAbEtZul3CvUo1k8TrBjkgTqbZvaXjrwBrfylwUDWC8lfzMM1h1E0NDKFJh7udiMaOsp1DWdM1xR11UHzHVHzVTY4gCc1nRXW879CvTzcUwX9wUb4vJUXWfCEBFZvcR1dJrJyE4FpNhyWBHvw6Qyuph3rT9jgDZRKNn8FaEqBr5dZ1o9SBpnEObkMMx31INNrEf75EZOWGdEXwvDNeJIuKbtorvRJHy4iYcMHnYO1v1axRBQudr31fS0np5Jn7nuzR0Vx&name=Truncated+Cuboctahedron#applet">Editable printable net of a truncated cuboctahedron with interactive 3D view</a></li> <li><a rel="nofollow" class="external text" href="http://www.mathconsult.ch/showroom/unipoly/">The Uniform Polyhedra</a></li> <li><a rel="nofollow" class="external text" href="http://www.georgehart.com/virtual-polyhedra/vp.html">Virtual Reality Polyhedra</a> The Encyclopedia of Polyhedra</li> <li><a rel="nofollow" class="external text" href="http://www.faust.fr.bw.schule.de/mhb/flechten/grko/indexeng.htm">Great rhombicuboctahedron: paper strips for plaiting</a></li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output 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scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Archimedean_solids" title="Template:Archimedean solids"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Archimedean_solids" title="Template talk:Archimedean solids"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Archimedean_solids" title="Special:EditPage/Template:Archimedean solids"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Archimedean_solids22" style="font-size:114%;margin:0 4em"><a href="/wiki/Archimedean_solid" title="Archimedean solid">Archimedean solids</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;padding:0"><div style="padding:0 0.25em"> <table style="width:100%"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_4a.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Polyhedron_truncated_4a.png/90px-Polyhedron_truncated_4a.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Polyhedron_truncated_4a.png/135px-Polyhedron_truncated_4a.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Polyhedron_truncated_4a.png/180px-Polyhedron_truncated_4a.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_tetrahedron" title="Truncated tetrahedron">Truncated tetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Truncate)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_4b.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Polyhedron_truncated_4b.png/90px-Polyhedron_truncated_4b.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Polyhedron_truncated_4b.png/135px-Polyhedron_truncated_4b.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Polyhedron_truncated_4b.png/180px-Polyhedron_truncated_4b.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_tetrahedron" title="Truncated tetrahedron">Truncated tetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Zip)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Polyhedron_truncated_6.png/90px-Polyhedron_truncated_6.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Polyhedron_truncated_6.png/135px-Polyhedron_truncated_6.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Polyhedron_truncated_6.png/180px-Polyhedron_truncated_6.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_cube" title="Truncated cube">Truncated cube</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Truncate)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Polyhedron_truncated_8.png/90px-Polyhedron_truncated_8.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Polyhedron_truncated_8.png/135px-Polyhedron_truncated_8.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Polyhedron_truncated_8.png/180px-Polyhedron_truncated_8.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">Truncated octahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Zip)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_12.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Polyhedron_truncated_12.png/90px-Polyhedron_truncated_12.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Polyhedron_truncated_12.png/135px-Polyhedron_truncated_12.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Polyhedron_truncated_12.png/180px-Polyhedron_truncated_12.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_dodecahedron" title="Truncated dodecahedron">Truncated dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Truncate)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_20.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Polyhedron_truncated_20.png/90px-Polyhedron_truncated_20.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Polyhedron_truncated_20.png/135px-Polyhedron_truncated_20.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Polyhedron_truncated_20.png/180px-Polyhedron_truncated_20.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Truncated_icosahedron" title="Truncated icosahedron">Truncated icosahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Zip)</a> </td></tr> <tr> <td colspan="2" style="opacity: .4;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_4-4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Polyhedron_4-4.png/180px-Polyhedron_4-4.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Polyhedron_4-4.png/270px-Polyhedron_4-4.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Polyhedron_4-4.png/360px-Polyhedron_4-4.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Octahedron" title="Octahedron">Tetratetrahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ambo)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_6-8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Polyhedron_6-8.png/180px-Polyhedron_6-8.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Polyhedron_6-8.png/270px-Polyhedron_6-8.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Polyhedron_6-8.png/360px-Polyhedron_6-8.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Cuboctahedron" title="Cuboctahedron">Cuboctahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ambo)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_12-20.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Polyhedron_12-20.png/180px-Polyhedron_12-20.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Polyhedron_12-20.png/270px-Polyhedron_12-20.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Polyhedron_12-20.png/360px-Polyhedron_12-20.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Icosidodecahedron" title="Icosidodecahedron">Icosidodecahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ambo)</a> </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_4-4_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_4-4_max.png/90px-Polyhedron_small_rhombi_4-4_max.png" decoding="async" width="90" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_4-4_max.png/135px-Polyhedron_small_rhombi_4-4_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_4-4_max.png/180px-Polyhedron_small_rhombi_4-4_max.png 2x" data-file-width="3850" data-file-height="3680" /></a></span><br /><a href="/wiki/Cuboctahedron" title="Cuboctahedron">Rhombitetratetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Expand)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_4-4_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Polyhedron_great_rhombi_4-4_max.png/90px-Polyhedron_great_rhombi_4-4_max.png" decoding="async" width="90" height="88" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Polyhedron_great_rhombi_4-4_max.png/135px-Polyhedron_great_rhombi_4-4_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Polyhedron_great_rhombi_4-4_max.png/180px-Polyhedron_great_rhombi_4-4_max.png 2x" data-file-width="3922" data-file-height="3854" /></a></span><br /><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">Truncated tetratetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Bevel)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_6-8_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Polyhedron_small_rhombi_6-8_max.png/90px-Polyhedron_small_rhombi_6-8_max.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Polyhedron_small_rhombi_6-8_max.png/135px-Polyhedron_small_rhombi_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/46/Polyhedron_small_rhombi_6-8_max.png/180px-Polyhedron_small_rhombi_6-8_max.png 2x" data-file-width="3906" data-file-height="3910" /></a></span><br /><a href="/wiki/Rhombicuboctahedron" title="Rhombicuboctahedron">Rhombicuboctahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Expand)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/90px-Polyhedron_great_rhombi_6-8_max.png" decoding="async" width="90" height="88" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/135px-Polyhedron_great_rhombi_6-8_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_great_rhombi_6-8_max.png/180px-Polyhedron_great_rhombi_6-8_max.png 2x" data-file-width="3860" data-file-height="3795" /></a></span><br /><a class="mw-selflink selflink">Truncated cuboctahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Bevel)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_12-20_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_small_rhombi_12-20_max.png/90px-Polyhedron_small_rhombi_12-20_max.png" decoding="async" width="90" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_small_rhombi_12-20_max.png/135px-Polyhedron_small_rhombi_12-20_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_small_rhombi_12-20_max.png/180px-Polyhedron_small_rhombi_12-20_max.png 2x" data-file-width="3973" data-file-height="4000" /></a></span><br /><a href="/wiki/Rhombicosidodecahedron" title="Rhombicosidodecahedron">Rhombicosidodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Expand)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_12-20_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_great_rhombi_12-20_max.png/90px-Polyhedron_great_rhombi_12-20_max.png" decoding="async" width="90" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_great_rhombi_12-20_max.png/135px-Polyhedron_great_rhombi_12-20_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Polyhedron_great_rhombi_12-20_max.png/180px-Polyhedron_great_rhombi_12-20_max.png 2x" data-file-width="3943" data-file-height="3977" /></a></span><br /><a href="/wiki/Truncated_icosidodecahedron" title="Truncated icosidodecahedron">Truncated icosidodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Bevel)</a> </td></tr> <tr> <td colspan="2" style="opacity: .4;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_4-4_left_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Polyhedron_snub_4-4_left_max.png/88px-Polyhedron_snub_4-4_left_max.png" decoding="async" width="88" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Polyhedron_snub_4-4_left_max.png/132px-Polyhedron_snub_4-4_left_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Polyhedron_snub_4-4_left_max.png/176px-Polyhedron_snub_4-4_left_max.png 2x" data-file-width="3926" data-file-height="3526" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_4-4_right_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Polyhedron_snub_4-4_right_max.png/80px-Polyhedron_snub_4-4_right_max.png" decoding="async" width="80" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Polyhedron_snub_4-4_right_max.png/120px-Polyhedron_snub_4-4_right_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Polyhedron_snub_4-4_right_max.png/160px-Polyhedron_snub_4-4_right_max.png 2x" data-file-width="3408" data-file-height="3829" /></a></span><br /><a href="/wiki/Regular_icosahedron" title="Regular icosahedron">Snub tetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Snub)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_6-8_left_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Polyhedron_snub_6-8_left_max.png/80px-Polyhedron_snub_6-8_left_max.png" decoding="async" width="80" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Polyhedron_snub_6-8_left_max.png/120px-Polyhedron_snub_6-8_left_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Polyhedron_snub_6-8_left_max.png/160px-Polyhedron_snub_6-8_left_max.png 2x" data-file-width="3932" data-file-height="3804" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_6-8_right_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Polyhedron_snub_6-8_right_max.png/80px-Polyhedron_snub_6-8_right_max.png" decoding="async" width="80" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Polyhedron_snub_6-8_right_max.png/120px-Polyhedron_snub_6-8_right_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Polyhedron_snub_6-8_right_max.png/160px-Polyhedron_snub_6-8_right_max.png 2x" data-file-width="3905" data-file-height="3860" /></a></span><br /><a href="/wiki/Snub_cube" title="Snub cube">Snub cube</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Snub)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_12-20_left_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Polyhedron_snub_12-20_left_max.png/80px-Polyhedron_snub_12-20_left_max.png" decoding="async" width="80" height="81" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Polyhedron_snub_12-20_left_max.png/120px-Polyhedron_snub_12-20_left_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/33/Polyhedron_snub_12-20_left_max.png/160px-Polyhedron_snub_12-20_left_max.png 2x" data-file-width="3966" data-file-height="4000" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_12-20_right_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Polyhedron_snub_12-20_right_max.png/80px-Polyhedron_snub_12-20_right_max.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Polyhedron_snub_12-20_right_max.png/120px-Polyhedron_snub_12-20_right_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Polyhedron_snub_12-20_right_max.png/160px-Polyhedron_snub_12-20_right_max.png 2x" data-file-width="3983" data-file-height="4000" /></a></span><br /><a href="/wiki/Snub_dodecahedron" title="Snub dodecahedron">Snub dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Snub)</a> </td></tr> <tr> <td colspan="8"> <div class="navbox-styles"></div><div role="navigation" class="navbox" aria-labelledby="Catalan_duals31" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Catalan_duals31" style="font-size:114%;margin:0 4em"><a href="/wiki/Catalan_solid" title="Catalan solid">Catalan</a> duals</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;padding:0"><div style="padding:0 0.25em"> <table style="width:100%"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_4a_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Polyhedron_truncated_4a_dual.png/90px-Polyhedron_truncated_4a_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Polyhedron_truncated_4a_dual.png/135px-Polyhedron_truncated_4a_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/54/Polyhedron_truncated_4a_dual.png/180px-Polyhedron_truncated_4a_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Triakis_tetrahedron" title="Triakis tetrahedron">Triakis tetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Needle)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_4b_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Polyhedron_truncated_4b_dual.png/90px-Polyhedron_truncated_4b_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Polyhedron_truncated_4b_dual.png/135px-Polyhedron_truncated_4b_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Polyhedron_truncated_4b_dual.png/180px-Polyhedron_truncated_4b_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Triakis_tetrahedron" title="Triakis tetrahedron">Triakis tetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Kis)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_6_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Polyhedron_truncated_6_dual.png/90px-Polyhedron_truncated_6_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Polyhedron_truncated_6_dual.png/135px-Polyhedron_truncated_6_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Polyhedron_truncated_6_dual.png/180px-Polyhedron_truncated_6_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Triakis_octahedron" title="Triakis octahedron">Triakis octahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Needle)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_8_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Polyhedron_truncated_8_dual.png/90px-Polyhedron_truncated_8_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Polyhedron_truncated_8_dual.png/135px-Polyhedron_truncated_8_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Polyhedron_truncated_8_dual.png/180px-Polyhedron_truncated_8_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Tetrakis_hexahedron" title="Tetrakis hexahedron">Tetrakis hexahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Kis)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_12_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Polyhedron_truncated_12_dual.png/90px-Polyhedron_truncated_12_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Polyhedron_truncated_12_dual.png/135px-Polyhedron_truncated_12_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Polyhedron_truncated_12_dual.png/180px-Polyhedron_truncated_12_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Triakis_icosahedron" title="Triakis icosahedron">Triakis icosahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Needle)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_truncated_20_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/24/Polyhedron_truncated_20_dual.png/90px-Polyhedron_truncated_20_dual.png" decoding="async" width="90" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/24/Polyhedron_truncated_20_dual.png/135px-Polyhedron_truncated_20_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/24/Polyhedron_truncated_20_dual.png/180px-Polyhedron_truncated_20_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><a href="/wiki/Pentakis_dodecahedron" title="Pentakis dodecahedron">Pentakis dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Kis)</a> </td></tr> <tr> <td colspan="2" style="opacity: .4;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_4-4_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Polyhedron_4-4_dual.png/180px-Polyhedron_4-4_dual.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Polyhedron_4-4_dual.png/270px-Polyhedron_4-4_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/74/Polyhedron_4-4_dual.png/360px-Polyhedron_4-4_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Cube" title="Cube">Rhombic hexahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Join)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_6-8_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_6-8_dual.png/180px-Polyhedron_6-8_dual.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_6-8_dual.png/270px-Polyhedron_6-8_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Polyhedron_6-8_dual.png/360px-Polyhedron_6-8_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">Rhombic dodecahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Join)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_12-20_dual.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Polyhedron_12-20_dual.png/180px-Polyhedron_12-20_dual.png" decoding="async" width="180" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Polyhedron_12-20_dual.png/270px-Polyhedron_12-20_dual.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Polyhedron_12-20_dual.png/360px-Polyhedron_12-20_dual.png 2x" data-file-width="4000" data-file-height="4000" /></a></span><br /><big><a href="/wiki/Rhombic_triacontahedron" title="Rhombic triacontahedron">Rhombic triacontahedron</a></big><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Join)</a> </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_4-4_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Polyhedron_small_rhombi_4-4_dual_max.png/90px-Polyhedron_small_rhombi_4-4_dual_max.png" decoding="async" width="90" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Polyhedron_small_rhombi_4-4_dual_max.png/135px-Polyhedron_small_rhombi_4-4_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Polyhedron_small_rhombi_4-4_dual_max.png/180px-Polyhedron_small_rhombi_4-4_dual_max.png 2x" data-file-width="3872" data-file-height="3927" /></a></span><br /><a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">Deltoidal dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ortho)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_4-4_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Polyhedron_great_rhombi_4-4_dual_max.png/90px-Polyhedron_great_rhombi_4-4_dual_max.png" decoding="async" width="90" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Polyhedron_great_rhombi_4-4_dual_max.png/135px-Polyhedron_great_rhombi_4-4_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Polyhedron_great_rhombi_4-4_dual_max.png/180px-Polyhedron_great_rhombi_4-4_dual_max.png 2x" data-file-width="3861" data-file-height="3916" /></a></span><br /><a href="/wiki/Tetrakis_hexahedron" title="Tetrakis hexahedron">Disdyakis hexahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Meta)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_6-8_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_small_rhombi_6-8_dual_max.png/90px-Polyhedron_small_rhombi_6-8_dual_max.png" decoding="async" width="90" height="92" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_small_rhombi_6-8_dual_max.png/135px-Polyhedron_small_rhombi_6-8_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Polyhedron_small_rhombi_6-8_dual_max.png/180px-Polyhedron_small_rhombi_6-8_dual_max.png 2x" data-file-width="3850" data-file-height="3923" /></a></span><br /><a href="/wiki/Deltoidal_icositetrahedron" title="Deltoidal icositetrahedron">Deltoidal icositetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ortho)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_6-8_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/90px-Polyhedron_great_rhombi_6-8_dual_max.png" decoding="async" width="90" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/135px-Polyhedron_great_rhombi_6-8_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/Polyhedron_great_rhombi_6-8_dual_max.png/180px-Polyhedron_great_rhombi_6-8_dual_max.png 2x" data-file-width="3878" data-file-height="3928" /></a></span><br /><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">Disdyakis dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Meta)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_small_rhombi_12-20_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_12-20_dual_max.png/90px-Polyhedron_small_rhombi_12-20_dual_max.png" decoding="async" width="90" height="89" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_12-20_dual_max.png/135px-Polyhedron_small_rhombi_12-20_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/Polyhedron_small_rhombi_12-20_dual_max.png/180px-Polyhedron_small_rhombi_12-20_dual_max.png 2x" data-file-width="3954" data-file-height="3911" /></a></span><br /><a href="/wiki/Deltoidal_hexecontahedron" title="Deltoidal hexecontahedron">Deltoidal hexecontahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Ortho)</a> </td> <td><span typeof="mw:File"><a href="/wiki/File:Polyhedron_great_rhombi_12-20_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Polyhedron_great_rhombi_12-20_dual_max.png/90px-Polyhedron_great_rhombi_12-20_dual_max.png" decoding="async" width="90" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Polyhedron_great_rhombi_12-20_dual_max.png/135px-Polyhedron_great_rhombi_12-20_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Polyhedron_great_rhombi_12-20_dual_max.png/180px-Polyhedron_great_rhombi_12-20_dual_max.png 2x" data-file-width="3928" data-file-height="3773" /></a></span><br /><a href="/wiki/Disdyakis_triacontahedron" title="Disdyakis triacontahedron">Disdyakis triacontahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Meta)</a> </td></tr> <tr> <td colspan="2" style="opacity: .4;"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_4-4_right_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Polyhedron_snub_4-4_right_dual_max.png/82px-Polyhedron_snub_4-4_right_dual_max.png" decoding="async" width="82" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Polyhedron_snub_4-4_right_dual_max.png/123px-Polyhedron_snub_4-4_right_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Polyhedron_snub_4-4_right_dual_max.png/164px-Polyhedron_snub_4-4_right_dual_max.png 2x" data-file-width="3982" data-file-height="3757" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_4-4_left_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Polyhedron_snub_4-4_left_dual_max.png/80px-Polyhedron_snub_4-4_left_dual_max.png" decoding="async" width="80" height="87" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Polyhedron_snub_4-4_left_dual_max.png/120px-Polyhedron_snub_4-4_left_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/Polyhedron_snub_4-4_left_dual_max.png/160px-Polyhedron_snub_4-4_left_dual_max.png 2x" data-file-width="3652" data-file-height="3960" /></a></span><br /><a href="/wiki/Regular_dodecahedron" title="Regular dodecahedron">Pentagonal dodecahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Gyro)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_6-8_right_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Polyhedron_snub_6-8_right_dual_max.png/80px-Polyhedron_snub_6-8_right_dual_max.png" decoding="async" width="80" height="81" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Polyhedron_snub_6-8_right_dual_max.png/120px-Polyhedron_snub_6-8_right_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Polyhedron_snub_6-8_right_dual_max.png/160px-Polyhedron_snub_6-8_right_dual_max.png 2x" data-file-width="3833" data-file-height="3889" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_6-8_left_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Polyhedron_snub_6-8_left_dual_max.png/80px-Polyhedron_snub_6-8_left_dual_max.png" decoding="async" width="80" height="81" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Polyhedron_snub_6-8_left_dual_max.png/120px-Polyhedron_snub_6-8_left_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Polyhedron_snub_6-8_left_dual_max.png/160px-Polyhedron_snub_6-8_left_dual_max.png 2x" data-file-width="3833" data-file-height="3895" /></a></span><br /><a href="/wiki/Pentagonal_icositetrahedron" title="Pentagonal icositetrahedron">Pentagonal icositetrahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Gyro)</a> </td> <td colspan="2"><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_12-20_right_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Polyhedron_snub_12-20_right_dual_max.png/80px-Polyhedron_snub_12-20_right_dual_max.png" decoding="async" width="80" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Polyhedron_snub_12-20_right_dual_max.png/120px-Polyhedron_snub_12-20_right_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Polyhedron_snub_12-20_right_dual_max.png/160px-Polyhedron_snub_12-20_right_dual_max.png 2x" data-file-width="3928" data-file-height="3893" /></a></span><span typeof="mw:File"><a href="/wiki/File:Polyhedron_snub_12-20_left_dual_max.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Polyhedron_snub_12-20_left_dual_max.png/80px-Polyhedron_snub_12-20_left_dual_max.png" decoding="async" width="80" height="79" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Polyhedron_snub_12-20_left_dual_max.png/120px-Polyhedron_snub_12-20_left_dual_max.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/30/Polyhedron_snub_12-20_left_dual_max.png/160px-Polyhedron_snub_12-20_left_dual_max.png 2x" data-file-width="3939" data-file-height="3877" /></a></span><br /><a href="/wiki/Pentagonal_hexecontahedron" title="Pentagonal hexecontahedron">Pentagonal hexecontahedron</a><br /><a href="/wiki/Conway_polyhedron_notation" title="Conway polyhedron notation">(Gyro)</a> </td></tr></tbody></table> </div></td></tr></tbody></table></div> </td></tr></tbody></table> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /><style data-mw-deduplicate="TemplateStyles:r886047488">.mw-parser-output .nobold{font-weight:normal}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886047488" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886047488" /></div><div role="navigation" class="navbox" aria-labelledby="Convex_polyhedra686" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Convex_polyhedron_navigator" title="Template:Convex polyhedron navigator"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Convex_polyhedron_navigator" title="Template talk:Convex polyhedron navigator"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Convex_polyhedron_navigator" title="Special:EditPage/Template:Convex polyhedron navigator"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Convex_polyhedra686" style="font-size:114%;margin:0 4em">Convex <a href="/wiki/Polyhedron" title="Polyhedron">polyhedra</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Platonic_solid" title="Platonic solid">Platonic solids</a> <span class="nobold">(<a href="/wiki/Regular_polyhedron" title="Regular polyhedron">regular</a>)</span></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Tetrahedron#Regular_tetrahedron" title="Tetrahedron">tetrahedron</a></li> <li><a href="/wiki/Cube" title="Cube">cube</a></li> <li><a href="/wiki/Octahedron" title="Octahedron">octahedron</a></li> <li><a href="/wiki/Regular_dodecahedron" title="Regular dodecahedron">dodecahedron</a></li> <li><a href="/wiki/Regular_icosahedron" title="Regular icosahedron">icosahedron</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;"><a href="/wiki/Archimedean_solid" title="Archimedean solid">Archimedean solids</a><br /><span class="nobold">(<a href="/wiki/Semiregular_polyhedron" title="Semiregular polyhedron">semiregular</a> or <a href="/wiki/Uniform_polyhedron" title="Uniform polyhedron">uniform</a>)</span></div></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Truncated_tetrahedron" title="Truncated tetrahedron">truncated tetrahedron</a></li> <li><a href="/wiki/Cuboctahedron" title="Cuboctahedron">cuboctahedron</a></li> <li><a href="/wiki/Truncated_cube" title="Truncated cube">truncated cube</a></li> <li><a href="/wiki/Truncated_octahedron" title="Truncated octahedron">truncated octahedron</a></li> <li><a href="/wiki/Rhombicuboctahedron" title="Rhombicuboctahedron">rhombicuboctahedron</a></li> <li><a class="mw-selflink selflink">truncated cuboctahedron</a></li> <li><a href="/wiki/Snub_cube" title="Snub cube">snub cube</a></li> <li><a href="/wiki/Icosidodecahedron" title="Icosidodecahedron">icosidodecahedron</a></li> <li><a href="/wiki/Truncated_dodecahedron" title="Truncated dodecahedron">truncated dodecahedron</a></li> <li><a href="/wiki/Truncated_icosahedron" title="Truncated icosahedron">truncated icosahedron</a></li> <li><a href="/wiki/Rhombicosidodecahedron" title="Rhombicosidodecahedron">rhombicosidodecahedron</a></li> <li><a href="/wiki/Truncated_icosidodecahedron" title="Truncated icosidodecahedron">truncated icosidodecahedron</a></li> <li><a href="/wiki/Snub_dodecahedron" title="Snub dodecahedron">snub dodecahedron</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;"><a href="/wiki/Catalan_solid" title="Catalan solid">Catalan solids</a><br /><span class="nobold">(duals of Archimedean)</span></div></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Triakis_tetrahedron" title="Triakis tetrahedron">triakis tetrahedron</a></li> <li><a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">rhombic dodecahedron</a></li> <li><a href="/wiki/Triakis_octahedron" title="Triakis octahedron">triakis octahedron</a></li> <li><a href="/wiki/Tetrakis_hexahedron" title="Tetrakis hexahedron">tetrakis hexahedron</a></li> <li><a href="/wiki/Deltoidal_icositetrahedron" title="Deltoidal icositetrahedron">deltoidal icositetrahedron</a></li> <li><a href="/wiki/Disdyakis_dodecahedron" title="Disdyakis dodecahedron">disdyakis dodecahedron</a></li> <li><a href="/wiki/Pentagonal_icositetrahedron" title="Pentagonal icositetrahedron">pentagonal icositetrahedron</a></li> <li><a href="/wiki/Rhombic_triacontahedron" title="Rhombic triacontahedron">rhombic triacontahedron</a></li> <li><a href="/wiki/Triakis_icosahedron" title="Triakis icosahedron">triakis icosahedron</a></li> <li><a href="/wiki/Pentakis_dodecahedron" title="Pentakis dodecahedron">pentakis dodecahedron</a></li> <li><a href="/wiki/Deltoidal_hexecontahedron" title="Deltoidal hexecontahedron">deltoidal hexecontahedron</a></li> <li><a href="/wiki/Disdyakis_triacontahedron" title="Disdyakis triacontahedron">disdyakis triacontahedron</a></li> <li><a href="/wiki/Pentagonal_hexecontahedron" title="Pentagonal hexecontahedron">pentagonal hexecontahedron</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dihedral regular</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Dihedron" title="Dihedron">dihedron</a></i></li> <li><i><a href="/wiki/Hosohedron" title="Hosohedron">hosohedron</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dihedral uniform</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Prism_(geometry)" title="Prism (geometry)">prisms</a></li> <li><a href="/wiki/Antiprism" title="Antiprism">antiprisms</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">duals:</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bipyramid" title="Bipyramid">bipyramids</a></li> <li><a href="/wiki/Trapezohedron" title="Trapezohedron">trapezohedra</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dihedral others</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Pyramid_(geometry)" title="Pyramid (geometry)">pyramids</a></li> <li><a href="/wiki/Truncated_trapezohedron" title="Truncated trapezohedron">truncated trapezohedra</a></li> <li><a href="/wiki/Gyroelongated_bipyramid" title="Gyroelongated bipyramid">gyroelongated bipyramid</a></li> <li><a href="/wiki/Cupola_(geometry)" title="Cupola (geometry)">cupola</a></li> <li><a href="/wiki/Bicupola_(geometry)" class="mw-redirect" title="Bicupola (geometry)">bicupola</a></li> <li><a href="/wiki/Frustum" title="Frustum">frustum</a></li> <li><a href="/wiki/Bifrustum" title="Bifrustum">bifrustum</a></li> <li><a href="/wiki/Rotunda_(geometry)" title="Rotunda (geometry)">rotunda</a></li> <li><a href="/wiki/Birotunda" title="Birotunda">birotunda</a></li> <li><a href="/wiki/Prismatoid" title="Prismatoid">prismatoid</a></li> <li><a href="/wiki/Scutoid" title="Scutoid">scutoid</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div>Degenerate polyhedra are in <i>italics</i>.</div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" 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