Small diretrosnub prismatosnub octishexacosichoron
| Small diretrosnub prismatosnub octishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sadersapsox |
| Elements | |
| Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 compound of great dodecahedron and icosahedron, 2400 compound of two octahemioctahedra, 600 small ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 600 truncated icosahedra, 3600 pentagrammic prisms |
| Faces | 38400 triangles, 18000 squares, 14400 pentagons, 14400 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 | Gadersapsox |
| Abstract & topological properties | |
| Euler characteristic | 51600 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub prismatosnub octishexacosichoron, or sadersapsox, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 great dodecahedra and 600 icosahedra (forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 600 truncated icosahedra, and 3600 pentagrammic prisms.
One great icosahedron and one small stellated dodecahedron (two compounds), one great dodecahedron and one icosahedron (two compounds), eight octahemioctahedra (eight compounds), five small ditrigonal dodecicosidodecahedra, five icosidodecadodecahedra, five small rhombicosidodecahedra, five truncated icosahedra, and five pentagrammic prisms join at each vertex.
It can be obtained as the blend of 5 small dipentary trishecatonicosihecatonicosihexacosichora and 5 small dipentary tetrishecatonicosiprismatohexacosichora. 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" (#1555).
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