Small snubretrosnub snub pentishecatonicosipentishexacosichoron
| Small snubretrosnub snub pentishecatonicosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sosirsosphipox |
| Elements | |
| Cells | 600 small stellated dodecahedra, 600 snub disoctahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 rhombidodecadodecahedra, 600 small dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
| Faces | 33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 10800 hexagons, 4800 golden hexagrams, 3600 decagons, 600 compound of two hexagons |
| Edges | 14400+2×21600 |
| Vertices | 7200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Prahi |
| Regiment | Sadros daskydox |
| Conjugate | Gosirsosphipox |
| Abstract & topological properties | |
| Euler characteristic | 29400 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small snubretrosnub snub pentishecatonicosipentishexacosichoron, or sosirsosphipox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 icosahedra (some of which lie in the same hyperplanes, forming 600 snub disoctahedra), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 rhombidodecadodecahedra, 600 small dodecicosidodecahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One small stellated dodecahedron, two icosahedra (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five rhombidodecadodecahedra, five small dodecicosidodecahedra, and five truncated tetrahedra (one compound, four single) join at each vertex.
It can be obtained as the blend of 5 small dipentary hexacositetrishecatonicosachora and 5 small dipentary hecatonicosidishexacosichora. In the process, some of the octahemioctahedron and cuboctahedron 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" (#1627).
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