Small dispinosnub prismatosnubdisnub pentishexacosichoron
Small dispinosnub prismatosnubdisnub pentishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sednasposidspox |
Elements | |
Cells | 600 small stellated dodecahedra, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 truncated icosahedra, 600 small dodecicosahedra, 3600 pentagrammic prisms, 6000 triangular prisms |
Faces | 12000 triangles, 32400 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 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 | Gednasposidspox |
Abstract & topological properties | |
Euler characteristic | 16200 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small dispinosnub prismatosnubdisnub pentishexacosichoron, or sednasposidspox, 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 truncated icosahedra, 600 small dodecicosahedra, 3600 pentagrammic prisms, and 6000 triangular prisms.
One small stellated dodecahedron, one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five truncated icosahedra, five small dodecicosahedra, five pentagrammic prisms, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small capped dipentary prismatohexacositrishecatonicosachora 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" (#1592).
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