Small diretrosnub prismatosnubdisnub hexishexacosichoron
| Small diretrosnub prismatosnubdisnub hexishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sadrosposid shax |
| Elements | |
| Cells | 600 great icosahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms |
| Faces | 38400 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 3600 decagons, 1200 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 | Gadrosposid shax |
| Abstract & topological properties | |
| Euler characteristic | 39600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub prismatosnubdisnub hexishexacosichoron, or sadrosposid shax, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, and 6000 triangular prisms.
One great icosahedron, one icosahedron and one great dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five truncated icosahedra, five small dodecicosidodecahedra, five icosidodecadodecahedra, five pentagrammic prisms, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small invertidipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary disprismatotrishecatonicosihexacosichora. In the process, some of the octahemioctahedron 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" (#1558).
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