Cishemiretroblended disnub triacontadiadisoctachoron
| Cishemiretroblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Charbed stedo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 16 cuboctahedra, 16 octahemioctahedra, 16 cubohemioctahedra |
| Faces | 1312 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 | 400 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The cishemiretroblended disnub triacontadiadisoctachoron, or charbed stedo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 16 cuboctahedra, 16 octahemioctahedra, and 16 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, two cuboctahedra, two octahemioctahedra, and two cubohemioctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 disocta-hemihexadecintercepted hemioctachora. 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 cishemiretroblended disnub triacontadiadisoctachoron are the same as those of the transhemiretroblended disnub triacontadiadisoctachoron, differing only in orientation.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1891).
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