Cisorthoblended disnub triacontadiadisoctachoron
The cisorthoblended disnub triacontadiadisoctachoron, or cobidastado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, two tetrahemihexahedra, and two cuboctahedra join at each vertex.
| Cisorthoblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cobidastado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 cuboctahedra |
| Faces | 1184 triangles, 96 squares |
| 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 | 176 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 rectified tesseractihemioctachora. 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 cisorthoblended disnub triacontadiadisoctachoron are the same as those of the transorthoblended disnub triacontadiadisoctachoron, differing only in orientation.
There are two other idtessids that it shares blend components with, but that have different facet counts. Those are the:
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1877).
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