Small dispinosnub snub prismatosnub pentishecatonicosipentishexacosichoron
| Small dispinosnub snub prismatosnub pentishecatonicosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sedansospas phipox |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 great dodecahedra, 2400 compound of two cubohemioctahedra, 600 truncated icosahedra, 600 small rhombidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 3600 pentagrammic prisms |
| Faces | 12000 triangles, 32400 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 3600 decagons |
| Edges | 14400+2×21600 |
| Vertices | 7200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Prahi |
| Regiment | Sadros daskydox |
| Conjugate | Gedansospas phipox |
| Abstract & topological properties | |
| Euler characteristic | 19200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small dispinosnub snub prismatosnub pentishecatonicosipentishexacosichoron, or sedansospas phipox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 great dodecahedra, 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 small rhombidodecahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 3600 pentagrammic prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), one great dodecahedron, eight cubohemioctahedra (eight compounds), five truncated icosahedra, five small rhombidodecahedra, five truncated tetrahedra (one compound, four single), and five pentagrammic prisms join at each vertex.
It can be obtained as the blend of 5 small capped dipentary prismatohexacositrishecatonicosachora and 5 small dipentary dishecatonicosidishexacosichora. In the process, some of the cubohemioctahedron cells blend out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 28: Idcossids" (#1577).
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