Cisspinoblended disnub triacontadiadisoctachoron
The cisspinoblended disnub triacontadiadisoctachoron, or cinbadistado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, and four cubohemioctahedra join at each vertex.
| Cisspinoblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cinbadistado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 32 cubohemioctahedra |
| Faces | 1184 triangles, 192 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 | 288 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecahemihexadecachora. 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 cisspinoblended disnub triacontadiadisoctachoron are the same as those of the transspinoblended disnub triacontadiadisoctachoron, differing only in orientation.
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1869).
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