Hemicisblended disnub triacontadiadisoctachoron
| Hemicisblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Hacebid stado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32+32 tetrahemihexahedra, 16 cuboctahedra, 32 cubohemioctahedra |
| Faces | 1312 triangles, 288 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 | 496 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The hemicisblended disnub triacontadiadisoctachoron, or hacebid stado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32+32 tetrahemihexahedra, 16 cuboctahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, six tetrahemihexahedra, two cuboctahedra, and four cubohemioctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaocta-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 hemicisblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:
- hemitransblended disnub triacontadiadisoctachoron,
- cishemiblended disnub triacontadiadisoctachoron,
- transhemiblended disnub triacontadiadisoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1887).
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