Small dispinosnub prismatodisnub trishexacositrishexacosichoron
| Small dispinosnub prismatodisnub trishexacositrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sidnaspid stextix |
| Elements | |
| Cells | 600 small stellated dodecahedra, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 icosidodecadodecahedra, 600 small rhombidodecahedra, 600 small dodecicosahedra, 6000 triangular prisms |
| Faces | 12000 triangles, 32400 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 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 | Gidnaspid stextix |
| Abstract & topological properties | |
| Euler characteristic | 22800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small dispinosnub prismatodisnub trishexacositrishexacosichoron, or sidnaspid stextix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 great dodecahedra and 600 icosahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 small rhombidodecahedra, 600 small dodecicosahedra, and 6000 triangular prisms.
One small stellated dodecahedron, one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five icosidodecadodecahedra, five small rhombidodecahedra, five small dodecicosahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small capped dipentary hexacositetrishecatonicosachora and 5 small dipentary hecatonicosiprismatohexacosihecatonicosachora. 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" (#1598).
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