Small snubspinosnub tetrishexacosichoron
Small snubspinosnub tetrishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sosenstux |
Elements | |
Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of cuboctahedron and cubohemioctahedron, 120 icosidisicosahedra, 600 small rhombidodecahedra, 600 rhombicosahedra |
Faces | 21600 triangles, 32400 squares, 10800 hexagons, 1200 golden hexagrams, 3600 decagons, 600 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 | Gosenstux |
Abstract & topological properties | |
Euler characteristic | 13800 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small snubspinosnub tetrishexacosichoron, or sosenstux, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 cuboctahedra and 2400 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of one of each), 600 octahemioctahedra (forming 120 icosidisicosahedra), 600 small rhombidodecahedra, and 600 rhombicosahedra.
One great icosahedron, one icosahedron, four cuboctahedra and four cubohemioctahedra (eight compounds), one octahemioctahedron (one compound), five small rhombidodecahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 small dipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary hexacosihecatonicosachora. In the process, some of the cuboctahedron and cubohemioctahedron cells blend into octahemioctahedra.
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" (#1653).
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