Cisblended disnub hexecontatetradisoctachoron
| Cisblended disnub hexecontatetradisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cibidsgado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 32+32 tetrahemihexahedra, 32 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 | 384 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The cisblended disnub hexecontatetradisoctachoron, or cibidsgado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 32+32 tetrahemihexahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron, 4 icositetrachora, and 4 hexadecaoctahemihexadecachora. 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 cisblended disnub hexecontatetradisoctachoron are the same as those of the transblended disnub hexecontatetradisoctachoron, differing only in orientation.
It also shares blend components with the blended disnub hexecontatetradisoctachoron, but their facets are counted differently.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1908).
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