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algebra)">E<sub>n</sub></a> <a href="/wiki/Coxeter_group" title="Coxeter group">Coxeter group</a>. The family was named by their <a href="/wiki/Coxeter_symbol" class="mw-redirect" title="Coxeter symbol">Coxeter symbol</a> <b>1<sub>k2</sub></b> by its bifurcating <a href="/wiki/Coxeter-Dynkin_diagram" class="mw-redirect" title="Coxeter-Dynkin diagram">Coxeter-Dynkin diagram</a>, with a single ring on the end of the 1-node sequence. It can be named by an <a href="/wiki/Extended_Schl%C3%A4fli_symbol" class="mw-redirect" title="Extended Schläfli symbol">extended Schläfli symbol</a> {3,3<sup>k,2</sup>}. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Family_members">Family members</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Uniform_1_k2_polytope&action=edit&section=1" title="Edit section: Family members"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The family starts uniquely as <a href="/wiki/6-polytope" title="6-polytope">6-polytopes</a>, but can be extended backwards to include the 5-<a href="/wiki/Demihypercube" title="Demihypercube">demicube</a> (<a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract">demipenteract</a>) in 5-dimensions, and the 4-<a href="/wiki/Simplex" title="Simplex">simplex</a> (<a href="/wiki/5-cell" title="5-cell">5-cell</a>) in 4-dimensions. </p><p>Each polytope is constructed from <b>1<sub>k-1,2</sub></b> and (n-1)-<a href="/wiki/Demihypercube" title="Demihypercube">demicube</a> facets. Each has a <a href="/wiki/Vertex_figure" title="Vertex figure">vertex figure</a> of a <i>{3<sup>1,n-2,2</sup>}</i> polytope is a birectified n-<a href="/wiki/Simplex" title="Simplex">simplex</a>, <i>t<sub>2</sub>{3<sup>n</sup>}</i>. </p><p>The sequence ends with k=6 (n=10), as an infinite tessellation of 9-dimensional hyperbolic space. </p><p>The complete family of <b>1<sub>k2</sub> polytope</b> polytopes are: </p> <ol><li><a href="/wiki/5-cell" title="5-cell">5-cell</a>: <b>1<sub>02</sub></b>, (5 <a href="/wiki/Tetrahedron" title="Tetrahedron">tetrahedral</a> cells)</li> <li><a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract"><b>1<sub>12</sub></b> polytope</a>, (16 <a href="/wiki/5-cell" title="5-cell">5-cell</a>, and 10 <a href="/wiki/16-cell" title="16-cell">16-cell</a> facets)</li> <li><a href="/wiki/1_22_polytope" title="1 22 polytope"><b>1<sub>22</sub></b> polytope</a>, (54 <a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract">demipenteract</a> facets)</li> <li><a href="/wiki/1_32_polytope" title="1 32 polytope"><b>1<sub>32</sub></b> polytope</a>, (56 <b>1<sub>22</sub></b> and 126 <a href="/wiki/Demihexeract" class="mw-redirect" title="Demihexeract">demihexeract</a> facets)</li> <li><a href="/wiki/1_42_polytope" title="1 42 polytope"><b>1<sub>42</sub></b> polytope</a>, (240 <b>1<sub>32</sub></b> and 2160 <a href="/wiki/Demihepteract" class="mw-redirect" title="Demihepteract">demihepteract</a> facets)</li> <li><a href="/wiki/1_52_honeycomb" title="1 52 honeycomb"><b>1<sub>52</sub></b> honeycomb</a>, tessellates Euclidean 8-space (∞ <b>1<sub>42</sub></b> and ∞ <a href="/wiki/Demiocteract" class="mw-redirect" title="Demiocteract">demiocteract</a> facets)</li> <li><a href="/wiki/1_62_honeycomb" class="mw-redirect" title="1 62 honeycomb"><b>1<sub>62</sub></b> honeycomb</a>, tessellates hyperbolic 9-space (∞ <b>1<sub>52</sub></b> and ∞ <a href="/wiki/Demienneract" class="mw-redirect" title="Demienneract">demienneract</a> facets)</li></ol> <div class="mw-heading mw-heading2"><h2 id="Elements">Elements</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Uniform_1_k2_polytope&action=edit&section=2" title="Edit section: Elements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <caption> Gosset 1<sub>k2</sub> figures </caption> <tbody><tr> <th rowspan="2">n </th> <th rowspan="2">1<sub>k2</sub> </th> <th rowspan="2"><a href="/wiki/Petrie_polygon" title="Petrie polygon">Petrie<br />polygon</a><br />projection </th> <th rowspan="2">Name<br /><a href="/wiki/Coxeter-Dynkin_diagram" class="mw-redirect" title="Coxeter-Dynkin diagram">Coxeter-Dynkin<br />diagram</a> </th> <th colspan="2"><a href="/wiki/Facet_(mathematics)" class="mw-redirect" title="Facet (mathematics)">Facets</a> </th> <th colspan="8">Elements </th></tr> <tr> <th>1<sub>k-1,2</sub> </th> <th><a href="/wiki/Demihypercube" title="Demihypercube">(n-1)-demicube</a> </th> <th><a href="/wiki/Vertex_(geometry)" title="Vertex (geometry)">Vertices</a> </th> <th><a href="/wiki/Edge_(geometry)" title="Edge (geometry)">Edges</a> </th> <th><a href="/wiki/Face_(geometry)" title="Face (geometry)">Faces</a> </th> <th><a href="/wiki/Cell_(geometry)" class="mw-redirect" title="Cell (geometry)">Cells</a> </th> <th><i>4</i>-faces </th> <th><i>5</i>-faces </th> <th><i>6</i>-faces </th> <th><i>7</i>-faces </th></tr> <tr align="center"> <td>4 </td> <td>1<sub>02</sub> </td> <td><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/80px-4-simplex_t0.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/120px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/160px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td><a href="/wiki/5-cell" title="5-cell">1<sub>20</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c9/CDel_branch_01l.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>5<br /><a href="/wiki/Tetrahedron" title="Tetrahedron">1<sub>10</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>5 </td> <td>10 </td> <td>10<br /><span typeof="mw:File"><a href="/wiki/File:2-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/40px-2-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/60px-2-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/80px-2-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>5<br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>  </td> <td>  </td> <td>  </td> <td>  </td></tr> <tr align="center"> <td>5 </td> <td>1<sub>12</sub> </td> <td><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/80px-5-demicube.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/120px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/160px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td><a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract">1<sub>21</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td>16<br /><a href="/wiki/5-cell" title="5-cell">1<sub>20</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/40px-4-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/60px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/80px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>10<br /><a href="/wiki/16-cell" title="16-cell">1<sub>11</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:4-orthoplex.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/40px-4-orthoplex.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/60px-4-orthoplex.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/80px-4-orthoplex.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>16 </td> <td>80 </td> <td>160<br /><span typeof="mw:File"><a href="/wiki/File:2-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/40px-2-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/60px-2-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/80px-2-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>120<br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>26<br /><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/25px-4-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/38px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/50px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-orthoplex.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/25px-4-orthoplex.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/38px-4-orthoplex.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/50px-4-orthoplex.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>  </td> <td>  </td> <td>  </td></tr> <tr align="center"> <td>6 </td> <td>1<sub>22</sub> </td> <td><span typeof="mw:File"><a href="/wiki/File:Up_1_22_t0_E6.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/80px-Up_1_22_t0_E6.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/120px-Up_1_22_t0_E6.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/160px-Up_1_22_t0_E6.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td><a href="/wiki/Gosset_1_22_polytope" class="mw-redirect" title="Gosset 1 22 polytope">1<sub>22</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td>27<br /><a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract">1<sub>12</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/40px-5-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/60px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/80px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>27<br /><a href="/wiki/Demipenteract" class="mw-redirect" title="Demipenteract">1<sub>21</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/40px-5-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/60px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/80px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>72 </td> <td>720 </td> <td>2160<br /><span typeof="mw:File"><a href="/wiki/File:2-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/40px-2-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/60px-2-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/80px-2-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>2160<br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>702<br /><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/25px-4-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/38px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/50px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-orthoplex.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/25px-4-orthoplex.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/38px-4-orthoplex.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/50px-4-orthoplex.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>54<br /><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/25px-5-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/38px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/50px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>  </td> <td>  </td></tr> <tr align="center"> <td>7 </td> <td>1<sub>32</sub> </td> <td><span typeof="mw:File"><a href="/wiki/File:Up2_1_32_t0_E7.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/80px-Up2_1_32_t0_E7.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/120px-Up2_1_32_t0_E7.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/160px-Up2_1_32_t0_E7.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td><a href="/wiki/Gosset_1_32_polytope" class="mw-redirect" title="Gosset 1 32 polytope">1<sub>32</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td>56<br /><a href="/wiki/Gosset_1_22_polytope" class="mw-redirect" title="Gosset 1 22 polytope">1<sub>22</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:Up_1_22_t0_E6.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/40px-Up_1_22_t0_E6.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/60px-Up_1_22_t0_E6.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Up_1_22_t0_E6.svg/80px-Up_1_22_t0_E6.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td>126<br /><a href="/wiki/Demihexeract" class="mw-redirect" title="Demihexeract">1<sub>31</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:6-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/40px-6-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/60px-6-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/80px-6-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>576 </td> <td>10080 </td> <td>40320<br /><span typeof="mw:File"><a href="/wiki/File:2-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/40px-2-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/60px-2-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/80px-2-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>50400<br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>23688<br /><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/25px-4-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/38px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/50px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-orthoplex.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/25px-4-orthoplex.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/38px-4-orthoplex.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/50px-4-orthoplex.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>4284<br /><span typeof="mw:File"><a href="/wiki/File:5-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/25px-5-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/38px-5-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/50px-5-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/25px-5-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/38px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/50px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>182<br /><span typeof="mw:File"><a href="/wiki/File:Gosset_1_22_polytope.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/25px-Gosset_1_22_polytope.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/38px-Gosset_1_22_polytope.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/50px-Gosset_1_22_polytope.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span><span typeof="mw:File"><a href="/wiki/File:6-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/25px-6-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/38px-6-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/50px-6-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>  </td></tr> <tr align="center"> <td>8 </td> <td>1<sub>42</sub> </td> <td><span typeof="mw:File"><a href="/wiki/File:Gosset_1_42_polytope_petrie.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/80px-Gosset_1_42_polytope_petrie.svg.png" decoding="async" width="80" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/120px-Gosset_1_42_polytope_petrie.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/160px-Gosset_1_42_polytope_petrie.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td><a href="/wiki/Gosset_1_42_polytope" class="mw-redirect" title="Gosset 1 42 polytope">1<sub>42</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td> <td>240<br /><a href="/wiki/Gosset_1_32_polytope" class="mw-redirect" title="Gosset 1 32 polytope">1<sub>32</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:Up2_1_32_t0_E7.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/40px-Up2_1_32_t0_E7.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/60px-Up2_1_32_t0_E7.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Up2_1_32_t0_E7.svg/80px-Up2_1_32_t0_E7.svg.png 2x" data-file-width="2000" data-file-height="2000" /></a></span> </td> <td>2160<br /><a href="/wiki/Demihepteract" class="mw-redirect" title="Demihepteract">1<sub>41</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:7-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/40px-7-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/60px-7-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/80px-7-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>17280 </td> <td>483840 </td> <td>2419200<br /><span typeof="mw:File"><a href="/wiki/File:2-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/40px-2-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/60px-2-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/2-simplex_t0.svg/80px-2-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>3628800<br /><span typeof="mw:File"><a href="/wiki/File:3-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/40px-3-simplex_t0.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/60px-3-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/3-simplex_t0.svg/80px-3-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span> </td> <td>2298240<br /><span typeof="mw:File"><a href="/wiki/File:4-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/25px-4-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/38px-4-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/4-simplex_t0.svg/50px-4-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:4-orthoplex.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/25px-4-orthoplex.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/38px-4-orthoplex.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/4-orthoplex.svg/50px-4-orthoplex.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>725760<br /><span typeof="mw:File"><a href="/wiki/File:5-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/25px-5-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/38px-5-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/5-simplex_t0.svg/50px-5-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:5-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/25px-5-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/38px-5-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/5-demicube.svg/50px-5-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>106080<br /><span typeof="mw:File"><a href="/wiki/File:6-simplex_t0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/6-simplex_t0.svg/25px-6-simplex_t0.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/6-simplex_t0.svg/38px-6-simplex_t0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d5/6-simplex_t0.svg/50px-6-simplex_t0.svg.png 2x" data-file-width="1600" data-file-height="1600" /></a></span><span typeof="mw:File"><a href="/wiki/File:6-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/25px-6-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/38px-6-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3d/6-demicube.svg/50px-6-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span><span typeof="mw:File"><a href="/wiki/File:Gosset_1_22_polytope.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/25px-Gosset_1_22_polytope.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/38px-Gosset_1_22_polytope.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Gosset_1_22_polytope.svg/50px-Gosset_1_22_polytope.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>2400<br /><span typeof="mw:File"><a href="/wiki/File:7-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/25px-7-demicube.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/38px-7-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/7-demicube.svg/50px-7-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span><span typeof="mw:File"><a href="/wiki/File:2_41_polytope_petrie.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/2_41_polytope_petrie.svg/25px-2_41_polytope_petrie.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/2_41_polytope_petrie.svg/38px-2_41_polytope_petrie.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/94/2_41_polytope_petrie.svg/50px-2_41_polytope_petrie.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td></tr> <tr align="center"> <td>9 </td> <td>1<sub>52</sub> </td> <td> </td> <td><a href="/wiki/Gosset_1_52_honeycomb" class="mw-redirect" title="Gosset 1 52 honeycomb">1<sub>52</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span><br />(8-space tessellation) </td> <td>∞<br /><a href="/wiki/Gosset_1_42_polytope" class="mw-redirect" title="Gosset 1 42 polytope">1<sub>42</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:Gosset_1_42_polytope_petrie.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/40px-Gosset_1_42_polytope_petrie.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/60px-Gosset_1_42_polytope_petrie.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Gosset_1_42_polytope_petrie.svg/80px-Gosset_1_42_polytope_petrie.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td>∞<br /><a href="/wiki/Demiocteract" class="mw-redirect" title="Demiocteract">1<sub>51</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:8-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/8-demicube.svg/40px-8-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/8-demicube.svg/60px-8-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/91/8-demicube.svg/80px-8-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td colspan="8">∞ </td></tr> <tr align="center"> <td>10 </td> <td>1<sub>62</sub> </td> <td> </td> <td><a href="/wiki/1_62_honeycomb" class="mw-redirect" title="1 62 honeycomb">1<sub>62</sub></a><br /><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/d/df/CDel_branch_01lr.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/56/CDel_3a.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" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c7/CDel_nodea.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span><br />(9-space hyperbolic tessellation) </td> <td>∞<br /><a href="/wiki/1_52_honeycomb" title="1 52 honeycomb">1<sub>52</sub></a> </td> <td>∞<br /><a href="/wiki/Demienneract" class="mw-redirect" title="Demienneract">1<sub>61</sub></a><br /><span typeof="mw:File"><a href="/wiki/File:9-demicube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/9-demicube.svg/40px-9-demicube.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/9-demicube.svg/60px-9-demicube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f4/9-demicube.svg/80px-9-demicube.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </td> <td colspan="8">∞ </td></tr></tbody></table> <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=Uniform_1_k2_polytope&action=edit&section=3" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Uniform_k_21_polytope" title="Uniform k 21 polytope">k<sub>21</sub> polytope</a> family</li> <li><a href="/wiki/Uniform_2_k1_polytope" title="Uniform 2 k1 polytope">2<sub>k1</sub> polytope</a> family</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=Uniform_1_k2_polytope&action=edit&section=4" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Alicia_Boole_Stott" title="Alicia Boole Stott">Alicia Boole Stott</a> <i>Geometrical deduction of semiregular from regular polytopes and space fillings</i>, Verhandelingen of the Koninklijke academy van Wetenschappen width unit Amsterdam, Eerste Sectie 11,1, Amsterdam, 1910 <ul><li>Stott, A. B. "Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings." Verhandelingen der Koninklijke Akad. Wetenschappen Amsterdam 11, 3-24, 1910.</li> <li>Alicia Boole Stott, "Geometrical deduction of semiregular from regular polytopes and space fillings," Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam, (eerste sectie), Vol. 11, No. 1, pp. 1–24 plus 3 plates, 1910.</li> <li>Stott, A. B. 1910. "Geometrical Deduction of Semiregular from Regular Polytopes and Space Fillings." Verhandelingen der Koninklijke Akad. Wetenschappen Amsterdam</li></ul></li> <li>Schoute, P. H., Analytical treatment of the polytopes regularly derived from the regular polytopes, <i>Ver. der Koninklijke Akad. van Wetenschappen te Amsterdam</i> (eerstie sectie), vol 11.5, 1913.</li> <li><a href="/wiki/Harold_Scott_MacDonald_Coxeter" title="Harold Scott MacDonald Coxeter">H. S. M. Coxeter</a>: Regular and Semi-Regular Polytopes, Part I, Mathematische Zeitschrift, Springer, Berlin, 1940</li> <li><a href="/wiki/Norman_Johnson_(mathematician)" title="Norman Johnson (mathematician)">N.W. Johnson</a>: <i>The Theory of Uniform Polytopes and Honeycombs</i>, Ph.D. Dissertation, University of Toronto, 1966</li> <li>H.S.M. Coxeter: Regular and Semi-Regular Polytopes, Part II, Mathematische Zeitschrift, Springer, Berlin, 1985</li> <li>H.S.M. Coxeter: Regular and Semi-Regular Polytopes, Part III, Mathematische Zeitschrift, Springer, Berlin, 1988</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=Uniform_1_k2_polytope&action=edit&section=5" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://os2fan2.com/gloss.htm#gossetfig">PolyGloss v0.05: Gosset figures (Gossetododecatope)</a></li></ul> <table class="wikitable mw-collapsible"> <tbody><tr> <th colspan="13" style="background:lightsteelblue;"><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 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dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd 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-collapse navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Polytopes" title="Template:Polytopes"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Polytopes" title="Template talk:Polytopes"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Polytopes" title="Special:EditPage/Template:Polytopes"><abbr title="Edit this template">e</abbr></a></li></ul></div><div class="navbar-ct-mini">Fundamental convex <a href="/wiki/Regular_polytope" title="Regular polytope">regular</a> and <a href="/wiki/Uniform_polytope" title="Uniform polytope">uniform polytopes</a> in dimensions 2–10</div> </th></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Coxeter_group#Finite_Coxeter_groups" title="Coxeter group">Family</a> </th> <td style="background:gainsboro;"><a href="/wiki/Simple_Lie_group#A_series" title="Simple Lie group"><i>A</i><sub><i>n</i></sub></a> </td> <td style="background:gainsboro;"><a href="/wiki/Simple_Lie_group#B_series" title="Simple Lie group"><i>B</i><sub><i>n</i></sub></a> </td> <td style="background:gainsboro;"><span style="background-color: #f0f0e0; color:;"><i>I</i><sub>2</sub>(p)</span> / <a href="/wiki/Simple_Lie_group#D_series" title="Simple Lie group"><i>D</i><sub><i>n</i></sub></a> </td> <td style="background:gainsboro;"><span style="background-color: #f0e0e0; color:;"><a href="/wiki/E6_(mathematics)" title="E6 (mathematics)"><i>E</i><sub>6</sub></a> / <a href="/wiki/E7_(mathematics)" title="E7 (mathematics)"><i>E</i><sub>7</sub></a> / <a href="/wiki/E8_(mathematics)" title="E8 (mathematics)"><i>E</i><sub>8</sub></a></span> / <span style="background-color: #e0f0e0; color:;"><a href="/wiki/F4_(mathematics)" title="F4 (mathematics)"><i>F</i><sub>4</sub></a></span> / <span style="background-color: #e0e0f0; color:;"><a href="/wiki/G2_(mathematics)" title="G2 (mathematics)"><i>G</i><sub>2</sub></a></span> </td> <td style="background:gainsboro;"><a href="/wiki/H4_(mathematics)" class="mw-redirect" title="H4 (mathematics)">H<sub>n</sub></a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Regular_polygon" title="Regular polygon">Regular polygon</a> </th> <td><a href="/wiki/Equilateral_triangle" title="Equilateral triangle">Triangle</a> </td> <td><a href="/wiki/Square" title="Square">Square</a> </td> <td style="background:#f0f0e0;"><a href="/wiki/Regular_polygon" title="Regular polygon">p-gon</a> </td> <td style="background:#e0e0f0;"><a href="/wiki/Hexagon" title="Hexagon">Hexagon</a> </td> <td><a href="/wiki/Pentagon" title="Pentagon">Pentagon</a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_polyhedron" title="Uniform polyhedron">Uniform polyhedron</a> </th> <td style="background:whitesmoke;"><a href="/wiki/Tetrahedron" title="Tetrahedron">Tetrahedron</a> </td> <td style="background:whitesmoke;"><a href="/wiki/Octahedron" title="Octahedron">Octahedron</a> • <a href="/wiki/Cube" title="Cube">Cube</a> </td> <td style="background:whitesmoke;"><a href="/wiki/Tetrahedron" title="Tetrahedron">Demicube</a> </td> <td style="background:whitesmoke;"> </td> <td style="background:whitesmoke;"><a href="/wiki/Regular_dodecahedron" title="Regular dodecahedron">Dodecahedron</a> • <a href="/wiki/Regular_icosahedron" title="Regular icosahedron">Icosahedron</a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_polychoron" class="mw-redirect" title="Uniform polychoron">Uniform polychoron</a> </th> <td><a href="/wiki/5-cell" title="5-cell">Pentachoron</a> </td> <td><a href="/wiki/16-cell" title="16-cell">16-cell</a> • <a href="/wiki/Tesseract" title="Tesseract">Tesseract</a> </td> <td><a href="/wiki/16-cell" title="16-cell">Demitesseract</a> </td> <td style="background:#e0f0e0;"><a href="/wiki/24-cell" title="24-cell">24-cell</a> </td> <td><a href="/wiki/120-cell" title="120-cell">120-cell</a> • <a href="/wiki/600-cell" title="600-cell">600-cell</a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_5-polytope" title="Uniform 5-polytope">Uniform 5-polytope</a> </th> <td style="background:whitesmoke;"><a href="/wiki/5-simplex" title="5-simplex">5-simplex</a> </td> <td style="background:whitesmoke;"><a href="/wiki/5-orthoplex" title="5-orthoplex">5-orthoplex</a> • <a href="/wiki/5-cube" title="5-cube">5-cube</a> </td> <td style="background:whitesmoke;"><a href="/wiki/5-demicube" title="5-demicube">5-demicube</a> </td> <td style="background:whitesmoke;"> </td> <td style="background:whitesmoke;"> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_6-polytope" title="Uniform 6-polytope">Uniform 6-polytope</a> </th> <td><a href="/wiki/6-simplex" title="6-simplex">6-simplex</a> </td> <td><a href="/wiki/6-orthoplex" title="6-orthoplex">6-orthoplex</a> • <a href="/wiki/6-cube" title="6-cube">6-cube</a> </td> <td><a href="/wiki/6-demicube" title="6-demicube">6-demicube</a> </td> <td style="background:#f0e0e0;"><a href="/wiki/1_22_polytope" title="1 22 polytope">1<sub>22</sub></a> • <a href="/wiki/2_21_polytope" title="2 21 polytope">2<sub>21</sub></a> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_7-polytope" title="Uniform 7-polytope">Uniform 7-polytope</a> </th> <td style="background:whitesmoke;"><a href="/wiki/7-simplex" title="7-simplex">7-simplex</a> </td> <td style="background:whitesmoke;"><a href="/wiki/7-orthoplex" title="7-orthoplex">7-orthoplex</a> • <a href="/wiki/7-cube" title="7-cube">7-cube</a> </td> <td style="background:whitesmoke;"><a href="/wiki/7-demicube" title="7-demicube">7-demicube</a> </td> <td style="background:#f0e0e0;"><a href="/wiki/1_32_polytope" title="1 32 polytope">1<sub>32</sub></a> • <a href="/wiki/2_31_polytope" title="2 31 polytope">2<sub>31</sub></a> • <a href="/wiki/3_21_polytope" title="3 21 polytope">3<sub>21</sub></a> </td> <td style="background:whitesmoke;"> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_8-polytope" title="Uniform 8-polytope">Uniform 8-polytope</a> </th> <td><a href="/wiki/8-simplex" title="8-simplex">8-simplex</a> </td> <td><a href="/wiki/8-orthoplex" title="8-orthoplex">8-orthoplex</a> • <a href="/wiki/8-cube" title="8-cube">8-cube</a> </td> <td><a href="/wiki/8-demicube" title="8-demicube">8-demicube</a> </td> <td style="background:#f0e0e0;"><a href="/wiki/1_42_polytope" title="1 42 polytope">1<sub>42</sub></a> • <a href="/wiki/2_41_polytope" title="2 41 polytope">2<sub>41</sub></a> • <a href="/wiki/4_21_polytope" title="4 21 polytope">4<sub>21</sub></a> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_9-polytope" title="Uniform 9-polytope">Uniform 9-polytope</a> </th> <td style="background:whitesmoke;"><a href="/wiki/9-simplex" title="9-simplex">9-simplex</a> </td> <td style="background:whitesmoke;"><a href="/wiki/9-orthoplex" title="9-orthoplex">9-orthoplex</a> • <a href="/wiki/9-cube" title="9-cube">9-cube</a> </td> <td style="background:whitesmoke;"><a href="/wiki/9-demicube" title="9-demicube">9-demicube</a> </td> <td style="background:whitesmoke;"> </td> <td style="background:whitesmoke;"> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;"><a href="/wiki/Uniform_10-polytope" title="Uniform 10-polytope">Uniform 10-polytope</a> </th> <td><a href="/wiki/10-simplex" title="10-simplex">10-simplex</a> </td> <td><a href="/wiki/10-orthoplex" title="10-orthoplex">10-orthoplex</a> • <a href="/wiki/10-cube" title="10-cube">10-cube</a> </td> <td><a href="/wiki/10-demicube" title="10-demicube">10-demicube</a> </td> <td> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">Uniform <i>n</i>-<a href="/wiki/Polytope" title="Polytope">polytope</a> </th> <td style="background:whitesmoke;"><i>n</i>-<a href="/wiki/Simplex" title="Simplex">simplex</a> </td> <td style="background:whitesmoke;"><i>n</i>-<a href="/wiki/Cross-polytope" title="Cross-polytope">orthoplex</a> • <i>n</i>-<a href="/wiki/Hypercube" title="Hypercube">cube</a> </td> <td style="background:whitesmoke;"><i>n</i>-<a href="/wiki/Demihypercube" title="Demihypercube">demicube</a> </td> <td style="background:#f0e0e0;"><a class="mw-selflink selflink">1<sub>k2</sub></a> • <a href="/wiki/Uniform_2_k1_polytope" title="Uniform 2 k1 polytope">2<sub>k1</sub></a> • <a href="/wiki/Uniform_k_21_polytope" title="Uniform k 21 polytope">k<sub>21</sub></a> </td> <td style="background:whitesmoke;"><i>n</i>-<a href="/wiki/Pentagonal_polytope" title="Pentagonal polytope">pentagonal polytope</a> </td></tr> <tr style="text-align:center;"> <th colspan="13" style="background:gainsboro;">Topics: <a href="/wiki/Polytope_families" title="Polytope families">Polytope families</a> • <a href="/wiki/Regular_polytope" title="Regular polytope">Regular polytope</a> • <a href="/wiki/List_of_regular_polytopes_and_compounds" class="mw-redirect" title="List of regular polytopes and compounds">List of regular polytopes and compounds</a> </th></tr></tbody></table> <table class="wikitable mw-collapsible"> <tbody><tr> <th colspan="7" style="background:lightsteelblue;"><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-collapse navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Honeycombs" title="Template:Honeycombs"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Honeycombs" title="Template talk:Honeycombs"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Honeycombs" title="Special:EditPage/Template:Honeycombs"><abbr title="Edit this template">e</abbr></a></li></ul></div><div class="navbar-ct-mini">Fundamental convex <a href="/wiki/Regular_honeycomb" class="mw-redirect" title="Regular honeycomb">regular</a> and <a href="/wiki/Uniform_honeycomb" title="Uniform honeycomb">uniform honeycombs</a> in dimensions 2–9</div> </th></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">Space </th> <th style="background:gainsboro;"><a href="/wiki/Coxeter_group#Finite_Coxeter_groups" title="Coxeter group">Family</a> </th> <td style="background:gainsboro;"><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 {\tilde {A}}_{n-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {A}}_{n-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d670784359c70519b98914c970a563e54473dfc3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.095ex; height:3.009ex;" alt="{\displaystyle {\tilde {A}}_{n-1}}"></span> </td> <td style="background:gainsboro;"><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 {\tilde {C}}_{n-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>C</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {C}}_{n-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e11d26ba4fbe250120406c1383bb073834bb647a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.085ex; height:3.009ex;" alt="{\displaystyle {\tilde {C}}_{n-1}}"></span> </td> <td style="background:gainsboro;"><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 {\tilde {B}}_{n-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {B}}_{n-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a89e8435de442c280e1c2eda5139a7dfce0ae8f2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.083ex; height:3.009ex;" alt="{\displaystyle {\tilde {B}}_{n-1}}"></span> </td> <td style="background:gainsboro;"><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 {\tilde {D}}_{n-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>D</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {D}}_{n-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/69e6d0df87a0474161ba0ff72a5fc0e2e15bf395" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.243ex; height:3.009ex;" alt="{\displaystyle {\tilde {D}}_{n-1}}"></span> </td> <td style="background:gainsboro;"><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 {\tilde {G}}_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>G</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {G}}_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/05fffeca164163637e88208f3286179052dc8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.881ex; height:3.009ex;" alt="{\displaystyle {\tilde {G}}_{2}}"></span> / <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 {\tilde {F}}_{4}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {F}}_{4}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f20867779350876839191b841386e4f563660530" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.859ex; height:3.009ex;" alt="{\displaystyle {\tilde {F}}_{4}}"></span> / <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 {\tilde {E}}_{n-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>E</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {E}}_{n-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e5978d249fbd7b2b30cb6147e2f0eb03b06e039e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.095ex; height:3.009ex;" alt="{\displaystyle {\tilde {E}}_{n-1}}"></span> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>2</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_tiling" title="Uniform tiling">Uniform tiling</a> </th> <td style="background:whitesmoke;"><a href="/wiki/Triangular_tiling" title="Triangular tiling">0<sub>[3]</sub></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Square_tiling" title="Square tiling"><big>δ<sub>3</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Square_tiling" title="Square tiling"><big>hδ<sub>3</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Square_tiling" title="Square tiling"><big>qδ<sub>3</sub></big></a> </td> <td style="background:#e0e0f0;"><a href="/wiki/Hexagonal_tiling" title="Hexagonal tiling">Hexagonal</a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>3</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_convex_honeycomb" class="mw-redirect" title="Uniform convex honeycomb">Uniform convex honeycomb</a> </th> <td><a href="/wiki/Tetrahedral-octahedral_honeycomb" title="Tetrahedral-octahedral honeycomb">0<sub>[4]</sub></a> </td> <td><a href="/wiki/Cubic_honeycomb" title="Cubic honeycomb"><big>δ<sub>4</sub></big></a> </td> <td><a href="/wiki/Tetrahedral-octahedral_honeycomb" title="Tetrahedral-octahedral honeycomb"><big>hδ<sub>4</sub></big></a> </td> <td><a href="/wiki/Quarter_cubic_honeycomb" title="Quarter cubic honeycomb"><big>qδ<sub>4</sub></big></a> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>4</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_4-honeycomb" class="mw-redirect" title="Uniform 4-honeycomb">Uniform 4-honeycomb</a> </th> <td style="background:whitesmoke;"><a href="/wiki/5-cell_honeycomb" title="5-cell honeycomb">0<sub>[5]</sub></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Tesseractic_honeycomb" title="Tesseractic honeycomb"><big>δ<sub>5</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/16-cell_honeycomb" title="16-cell honeycomb"><big>hδ<sub>5</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Rectified_tesseractic_honeycomb" title="Rectified tesseractic honeycomb"><big>qδ<sub>5</sub></big></a> </td> <td style="background:#e0f0e0;"><a href="/wiki/24-cell_honeycomb" title="24-cell honeycomb">24-cell honeycomb</a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>5</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_5-honeycomb" class="mw-redirect" title="Uniform 5-honeycomb">Uniform 5-honeycomb</a> </th> <td><a href="/wiki/5-simplex_honeycomb" title="5-simplex honeycomb">0<sub>[6]</sub></a> </td> <td><a href="/wiki/5-cubic_honeycomb" title="5-cubic honeycomb"><big>δ<sub>6</sub></big></a> </td> <td><a href="/wiki/5-demicubic_honeycomb" title="5-demicubic honeycomb"><big>hδ<sub>6</sub></big></a> </td> <td><a href="/wiki/Quarter_5-cubic_honeycomb" title="Quarter 5-cubic honeycomb"><big>qδ<sub>6</sub></big></a> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>6</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_6-honeycomb" class="mw-redirect" title="Uniform 6-honeycomb">Uniform 6-honeycomb</a> </th> <td style="background:whitesmoke;"><a href="/wiki/6-simplex_honeycomb" title="6-simplex honeycomb">0<sub>[7]</sub></a> </td> <td style="background:whitesmoke;"><a href="/wiki/6-cubic_honeycomb" title="6-cubic honeycomb"><big>δ<sub>7</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/6-demicubic_honeycomb" title="6-demicubic honeycomb"><big>hδ<sub>7</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Quarter_6-cubic_honeycomb" title="Quarter 6-cubic honeycomb"><big>qδ<sub>7</sub></big></a> </td> <td style="background:#f0e0e0;"><a href="/wiki/2_22_honeycomb" title="2 22 honeycomb">2<sub>22</sub></a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>7</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_7-honeycomb" class="mw-redirect" title="Uniform 7-honeycomb">Uniform 7-honeycomb</a> </th> <td><a href="/wiki/7-simplex_honeycomb" title="7-simplex honeycomb">0<sub>[8]</sub></a> </td> <td><a href="/wiki/7-cubic_honeycomb" title="7-cubic honeycomb"><big>δ<sub>8</sub></big></a> </td> <td><a href="/wiki/7-demicubic_honeycomb" title="7-demicubic honeycomb"><big>hδ<sub>8</sub></big></a> </td> <td><a href="/wiki/Quarter_7-cubic_honeycomb" title="Quarter 7-cubic honeycomb"><big>qδ<sub>8</sub></big></a> </td> <td style="background:#f0e0e0;"><a href="/wiki/1_33_honeycomb" title="1 33 honeycomb">1<sub>33</sub></a> • <a href="/wiki/3_31_honeycomb" title="3 31 honeycomb">3<sub>31</sub></a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>8</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_8-honeycomb" class="mw-redirect" title="Uniform 8-honeycomb">Uniform 8-honeycomb</a> </th> <td style="background:whitesmoke;"><a href="/wiki/8-simplex_honeycomb" title="8-simplex honeycomb">0<sub>[9]</sub></a> </td> <td style="background:whitesmoke;"><a href="/wiki/8-cubic_honeycomb" title="8-cubic honeycomb"><big>δ<sub>9</sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/8-demicubic_honeycomb" title="8-demicubic honeycomb"><big>hδ<sub>9</sub></big></a> </td> <td style="background:whitesmoke;"><big>qδ<sub>9</sub></big> </td> <td style="background:#f0e0e0;"><a href="/wiki/1_52_honeycomb" title="1 52 honeycomb">1<sub>52</sub></a> • <a href="/wiki/2_51_honeycomb" title="2 51 honeycomb">2<sub>51</sub></a> • <a href="/wiki/5_21_honeycomb" title="5 21 honeycomb">5<sub>21</sub></a> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>9</sup> </th> <th style="background:gainsboro;"><a href="/wiki/Uniform_9-honeycomb" class="mw-redirect" title="Uniform 9-honeycomb">Uniform 9-honeycomb</a> </th> <td>0<sub>[10]</sub> </td> <td><big>δ<sub>10</sub></big> </td> <td><big>hδ<sub>10</sub></big> </td> <td><big>qδ<sub>10</sub></big> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup>10</sup> </th> <th style="background:gainsboro;">Uniform 10-honeycomb </th> <td>0<sub>[11]</sub> </td> <td><big>δ<sub>11</sub></big> </td> <td><big>hδ<sub>11</sub></big> </td> <td><big>qδ<sub>11</sub></big> </td> <td> </td></tr> <tr style="text-align:center;"> <th style="background:gainsboro;">E<sup><i>n</i>-1</sup> </th> <th style="background:gainsboro;">Uniform (<i>n</i>-1)-<a href="/wiki/Honeycomb_(geometry)" title="Honeycomb (geometry)">honeycomb</a> </th> <td style="background:whitesmoke;"><a href="/wiki/Simplectic_honeycomb" class="mw-redirect" title="Simplectic honeycomb">0<sub>[<i>n</i>]</sub></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Hypercubic_honeycomb" title="Hypercubic honeycomb"><big>δ<sub><i>n</i></sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Alternated_hypercubic_honeycomb" title="Alternated hypercubic honeycomb"><big>hδ<sub><i>n</i></sub></big></a> </td> <td style="background:whitesmoke;"><a href="/wiki/Quarter_hypercubic_honeycomb" title="Quarter hypercubic honeycomb"><big>qδ<sub><i>n</i></sub></big></a> </td> <td style="background:#f0e0e0;"><a class="mw-selflink selflink">1<sub>k2</sub></a> • <a href="/wiki/Uniform_2_k1_polytope" title="Uniform 2 k1 polytope">2<sub>k1</sub></a> • <a href="/wiki/Uniform_k_21_polytope" title="Uniform k 21 polytope">k<sub>21</sub></a> </td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" 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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