Cisthyridoblended disnub triacontadiadisoctachoron
The cisthyridoblended disnub triacontadiadisoctachoron, or cayobidestado, 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.
| Cisthyridoblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cayobidestado |
| 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 |
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 coordinatesEdit
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
Related polychoraEdit
The blend components and facet counts of the cisthyridoblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1885).
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