Small retrospinosnub prismatosnub heptishexacosichoron
Small retrospinosnub prismatosnub heptishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sranisapshex |
Elements | |
Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 icosidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra, 600 truncated icosahedra, 3600 pentagrammic prisms |
Faces | 21600 triangles, 18000 squares, 14400 pentagons, 14400 pentagrams, 19200 hexagons, 1200 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 | Granisapshex |
Abstract & topological properties | |
Euler characteristic | 32400 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small retrospinosnub prismatosnub heptishexacosichoron, or sranisapshex, 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), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 2400 octahemioctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 icosidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra, 600 truncated icosahedra, and 3600 pentagrammic prisms.
One great icosahedron and one small stellated dodecahedron (two compounds), two great dodecahedra (two compounds), four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five icosidodecadodecahedra, five small ditrigonal dodecicosidodecahedra, 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 capped dipentary prismatohexacositrishecatonicosachora. In the process, some of the octahemioctahedron and 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" (#1642).
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