Small snubretrosnub prismatodisnub dishexacosidishexacosichoron
Small snubretrosnub prismatodisnub dishexacosidishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sosirspid sadixdax |
Elements | |
Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 truncated icosahedra, 600 small dodecicosidodecahedra, 6000 triangular prisms |
Faces | 38400 triangles, 18000 squares, 7200 pentagons, 10800 hexagons, 2400 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 | Gosirspid sadixdax |
Abstract & topological properties | |
Euler characteristic | 19800 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small snubretrosnub prismatodisnub dishexacosidishexacosichoron, or sosirspid sadixdax, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 truncated icosahedra, 600 small dodecicosidodecahedra, and 6000 triangular prisms.
One great icosahedron, one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five truncated icosahedra, five small dodecicosidodecahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small dipentary prismatohexacosihecatonicosachora and 5 small invertidipentary hecatonicosihexacosidishecatonicosachora. In the process, some of the octahemioctahedron and cuboctahedron 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" (#1620).
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