Thyridotransblended disnub triacontadiadisoctachoron
| Thyridotransblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ytebid stedo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, 16 cubohemioctahedra |
| Faces | 1312 triangles, 96 squares, 64 hexagons |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 336 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The thyridotransblended disnub triacontadiadisoctachoron, or ytebid stedo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, and 16 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, two tetrahemihexahedra, two octahemioctahedra and two cubohemioctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaoctadishemioctachora. In the process, some of the octahedron cells blend out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
Related polychora[edit | edit source]
The blend components and facet counts of the thyridotransblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:
- thyridocisblended disnub triacontadiadisoctachoron,
- cisthyridoblended disnub triacontadiadisoctachoron,
- transthyridoblended disnub triacontadiadisoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1884).
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