Small snubretrosnub prismatodisnub dishexacositrishexacosichoron
Small snubretrosnub prismatodisnub dishexacositrishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sosirspid sadixtix |
Elements | |
Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 icosidodecadodecahedra, 600 small dodecicosidodecahedra, 6000 triangular prisms |
Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 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 sadixtix |
Abstract & topological properties | |
Euler characteristic | 26400 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small snubretrosnub prismatodisnub dishexacositrishexacosichoron, or sosirspid sadixtix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 icosidodecadodecahedra, 600 small dodecicosidodecahedra, and 6000 triangular prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five icosidodecadodecahedra, 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 dipentary tetrishecatonicosihexacosichora. 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" (#1621).
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