Snub demitesseract (EntityTopic, 11)
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| + | The '''snub demitesseract''' is the sole [[uniform]] [[snub]] [[polychoron]] form. It can be formed by the construction of ''alternated truncated 24-cell'' or ''alternated cantitruncated 16-cell''. However, it's not a snub of either family, as the alternation is not of either parent's omnitruncate. | ||
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| + | When correctly represented, the snub demitesseract's [[Coxeter-Dynkin symbol]] is that of a three-pronged star, with all four nodes as snub rings. | ||
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| + | It is composed of 120 [[tetrahedra]] and 24 [[icosahedra]]; five tetrahedra and three icosahedra meet at each vertex. In total it has 480 [[triangular]] faces, 432 edges, and 96 vertices. | ||
The [[hydrochoron]] can be constructed by [[kis|raising pyramids on each face]] of the xylochoric snub. | The [[hydrochoron]] can be constructed by [[kis|raising pyramids on each face]] of the xylochoric snub. | ||
Revision as of 00:58, 19 December 2010
The snub demitesseract is the sole uniform snub polychoron form. It can be formed by the construction of alternated truncated 24-cell or alternated cantitruncated 16-cell. However, it's not a snub of either family, as the alternation is not of either parent's omnitruncate.
When correctly represented, the snub demitesseract's Coxeter-Dynkin symbol is that of a three-pronged star, with all four nodes as snub rings.
It is composed of 120 tetrahedra and 24 icosahedra; five tetrahedra and three icosahedra meet at each vertex. In total it has 480 triangular faces, 432 edges, and 96 vertices.
The hydrochoron can be constructed by raising pyramids on each face of the xylochoric snub.
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
