Small dispinosnub prismatosnub dishexacosipentishexacosichoron
| Small dispinosnub prismatosnub dishexacosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sednasposid xopex |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 truncated icosahedra, 600 small dodecicosahedra, 600 small rhombicosidodecahedra, 3600 pentagrammic prisms |
| Faces | 12000 triangles, 32400 squares, 14400 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 | Gednasposid xopex |
| Abstract & topological properties | |
| Euler characteristic | 28200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small dispinosnub prismatosnub dishexacosipentishexacosichoron, or sednasposid xopex, 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), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 small dodecicosahedra, 600 small rhombicosidodecahedra, and 3600 pentagrammic prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five truncated icosahedra, five small dodecicosahedra, five small rhombicosidodecahedra, 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 hexacosihecatonicositrishecatonicosachora. 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" (#1576).
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