List of uniform polychora (Meta, 11)
From Hi.gher. Space
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<th style='width:12%'>Pyromorphs</th><th style='width:12%'>Stauromorphs</th><th style='width:12%'>Xylomorphs</th><th style='width:12%'>Rhodomorphs</th><th style='width:12%'>Total</th> | <th style='width:12%'>Pyromorphs</th><th style='width:12%'>Stauromorphs</th><th style='width:12%'>Xylomorphs</th><th style='width:12%'>Rhodomorphs</th><th style='width:12%'>Total</th> | ||
</tr><tr> | </tr><tr> | ||
| - | <td class='cat' colspan='7'></td> | + | <td class='cat' colspan='7'>Tetrahedral</td> |
</tr><tr class='row1'> | </tr><tr class='row1'> | ||
<td class='key'>1</td> | <td class='key'>1</td> | ||
<td>[[Tetrahedron]]</td> | <td>[[Tetrahedron]]</td> | ||
</tr><tr class='row2'> | </tr><tr class='row2'> | ||
| + | <td class='key'>6</td> | ||
| + | <td>[[Tetrahedral truncate]]</td> | ||
| + | </tr><tr class='row1'> | ||
| + | <td class='key'>111</td> | ||
| + | <td>[[Triangular prism]]</td> | ||
| + | </tr><tr class='row2'> | ||
| + | <td class='key'>112</td> | ||
| + | <td>[[Hexagonal prism]]</td> | ||
| + | </tr><tr> | ||
| + | <td class='cat' colspan='7'>Octahedral</td> | ||
| + | </tr><tr class='row1'> | ||
<td class='key'>2</td> | <td class='key'>2</td> | ||
<td>[[Cube]]</td> | <td>[[Cube]]</td> | ||
| - | </tr><tr class=' | + | </tr><tr class='row2'> |
<td class='key'>3</td> | <td class='key'>3</td> | ||
<td>[[Octahedron]]</td> | <td>[[Octahedron]]</td> | ||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
</tr><tr class='row1'> | </tr><tr class='row1'> | ||
<td class='key'>7</td> | <td class='key'>7</td> | ||
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<td>[[Cuboctahedral truncate]]</td> | <td>[[Cuboctahedral truncate]]</td> | ||
</tr><tr class='row2'> | </tr><tr class='row2'> | ||
| - | <td class='key'> | + | <td class='key'>2</td> |
| - | <td>[[ | + | <td>[[Square prism]]</td> |
| + | </tr><tr class='row1'> | ||
| + | <td class='key'>113</td> | ||
| + | <td>[[Octagonal prism]]</td> | ||
| + | </tr><tr> | ||
| + | <td class='cat' colspan='7'>Icosahedral</td> | ||
| + | </tr><tr class='row1'> | ||
| + | <td class='key'>4</td> | ||
| + | <td>[[Dodecahedron]]</td> | ||
| + | </tr><tr class='row2'> | ||
| + | <td class='key'>5</td> | ||
| + | <td>[[Icosahedron]]</td> | ||
</tr><tr class='row1'> | </tr><tr class='row1'> | ||
<td class='key'>13</td> | <td class='key'>13</td> | ||
| Line 174: | Line 187: | ||
<td>[[Icosidodecahedral truncate]]</td> | <td>[[Icosidodecahedral truncate]]</td> | ||
</tr><tr class='row2'> | </tr><tr class='row2'> | ||
| - | <td class='key'> | + | <td class='key'>115</td> |
| - | <td>[[ | + | <td>[[Pentagonal prism]]</td> |
| + | </tr><tr class='row1'> | ||
| + | <td class='key'>116</td> | ||
| + | <td>[[Decagonal prism]]</td> | ||
</tr></table> | </tr></table> | ||
[[Category:Uniform polychora|*]] | [[Category:Uniform polychora|*]] | ||
Revision as of 18:25, 5 December 2010
This page tabulates simple data for each of the uniform polychora.
Families
Pyromorphs
| Dx | Variant | Verf cell counts | Element counts | ||||||
|---|---|---|---|---|---|---|---|---|---|
| CC (5×) | CF (10×) | CE (10×) | CV (5×) | |C| | |F| | |E| | |V| | ||
| 1 | parent (1-tome) | (33)4 | -- | -- | -- | 5 | 10 | 10 | 5 |
| 3 | truncate (2-tome) | (3·62)3 | -- | -- | (33)1 | 10 | 30 | 40 | 20 |
| 2 | hemicate (3-tome) | (34)3 | -- | -- | (33)2 | 10 | 30 | 30 | 10 |
| 6 | mesotruncate (4-tome) | (3·62)2 | -- | -- | (3·62)2 | 30 | 70 | 60 | 20 |
| 5 | cantellate (xoxo) | ({3·4}2)2 | -- | (3·42)2 | (34)1 | 20 | 80 | 90 | 30 |
| 7 | cantitruncate (xxxo) | (4·62)2 | -- | (3·42)1 | (3·62)1 | 20 | 80 | 120 | 60 |
| 9 | runcinate (xoox) | (33)1 | (3·42)3 | (3·42)3 | (33)1 | 30 | 70 | 60 | 20 |
| 11 | runcitruncate (xxox) | (3·62)1 | (6·42)2 | (3·42)1 | ({3·4}2)1 | 30 | 120 | 150 | 60 |
| 15 | omnitruncate (pantome) | (4·62)1 | (6·42)1 | (6·42)1 | (4·62)1 | 30 | 150 | 240 | 120 |
Stauromorphs
| Dx | Variant | Verf cell counts | Element counts | ||||||
|---|---|---|---|---|---|---|---|---|---|
| CC (8×) | CF (24×) | CE (32×) | CV (16×) | |C| | |F| | |E| | |V| | ||
Xylomorphs
| Dx | Variant | Verf cell counts | Element counts | ||||||
|---|---|---|---|---|---|---|---|---|---|
| CC (24×) | CF (96×) | CE (96×) | CV (24×) | |C| | |F| | |E| | |V| | ||
Rhodomorphs
| Dx | Variant | Verf cell counts | Element counts | ||||||
|---|---|---|---|---|---|---|---|---|---|
| CC (120×) | CF (720×) | CE (1200×) | CV (600×) | |C| | |F| | |E| | |V| | ||
Uniform polyhedra usage statistics
| # | Polyhedron | Unique uses | ||||
|---|---|---|---|---|---|---|
| Pyromorphs | Stauromorphs | Xylomorphs | Rhodomorphs | Total | ||
| Tetrahedral | ||||||
| 1 | Tetrahedron | |||||
| 6 | Tetrahedral truncate | |||||
| 111 | Triangular prism | |||||
| 112 | Hexagonal prism | |||||
| Octahedral | ||||||
| 2 | Cube | |||||
| 3 | Octahedron | |||||
| 7 | Cuboctahedron | |||||
| 8 | Cubic truncate | |||||
| 9 | Octahedral truncate | |||||
| 10 | Cuboctahedral rectate | |||||
| 11 | Cuboctahedral truncate | |||||
| 2 | Square prism | |||||
| 113 | Octagonal prism | |||||
| Icosahedral | ||||||
| 4 | Dodecahedron | |||||
| 5 | Icosahedron | |||||
| 13 | Icosidodecahedron | |||||
| 14 | Dodecahedral truncate | |||||
| 15 | Icosahedral truncate | |||||
| 16 | Icosidodecahedral rectate | |||||
| 17 | Icosidodecahedral truncate | |||||
| 115 | Pentagonal prism | |||||
| 116 | Decagonal prism | |||||
