Cisretroblended disnub triacontadiadisoctachoron
| Cisretroblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Crab dastedo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, 16 cubohemioctahedra |
| Faces | 1184 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 | 240 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The cisretroblended disnub triacontadiadisoctachoron, or crab dastedo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, and 16 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, two tetrahemihexahedra, two octahemioctahedra, and four cubohemioctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 octadishemioctachora. 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 cisretroblended disnub triacontadiadisoctachoron are the same as those of the transretroblended disnub triacontadiadisoctachoron, differing only in orientation.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1881).
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