Small diretrosnub prismatodisnub heptishexacosichoron
| Small diretrosnub prismatodisnub heptishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Saderspeedshox |
| Elements | |
| Cells | 600 great icosahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two octahemioctahedra, 600 compound of small ditrigonal dodecicosidodecahedron and small dodecicosahedron, 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, 6000 triangular prisms |
| Faces | 38400 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 7200 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 | Gaderspeedshox |
| Abstract & topological properties | |
| Euler characteristic | 46200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub prismatodisnub heptishexacosichoron, or saderspeedshox, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 great dodecahedra (some of which lie in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small ditrigonal dodecicosidodecahedra and 600 small dodecicosahedra (forming 600 compounds of one of each), 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, and 6000 triangular prisms.
One great icosahedron, two great dodecahedra (two compounds), eight octahemioctahedra (eight compounds), five small ditrigonal dodecicosidodecahedra and five small dodecicosahedra (ten compounds), five icosidodecadodecahedra, five small rhombicosidodecahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small dipentary trishecatonicosihecatonicosihexacosichora and 5 small dipentary trishecatonicosiprismatohexacosichora. 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" (#1554).
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