Snub hecatonicosoctasnub disoctachoron
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| Snub hecatonicosoctasnub disoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sazesado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+128 octahedra |
| Faces | 64+64+64+96+96+96+192+192+192+192+192 triangles |
| Edges | 48+192+192+192+192 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Snub hecatonicosoctasnub disoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 288 |
| Orientable | No |
| Properties | |
| Symmetry | B4/2, order 192 |
| Convex | No |
| Nature | Tame |
The snub hecatonicosoctasnub disoctachoron, or sazesado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, and 96+128 octahedra. One great icosahedron, one icosahedron, eight tetrahedra, and 6+8 octahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 icositetrachora. 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.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1857).
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