Great diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron
Great diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadersospid sphitux |
Elements | |
Cells | 600 compound of great icosahedron and small stellated dodecahedron, 2400 compound of two octahemioctahedra, 600 quasirhombicosidodecahedra, 600 great dodecicosahedra, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 38400 triangles, 18000 squares, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 3600 decagrams, 1200 compound of two hexagons |
Edges | 14400+2×21600 |
Vertices | 7200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Grix |
Regiment | Gadros daskydox |
Conjugate | Small diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 27000 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great diretrosnub snub prismatodisnub pentishecatonicositetrishexacosichoron, or gadersospid sphitux, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 quasirhombicosidodecahedra, 600 great dodecicosahedra, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron and one small stellated dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five quasirhombicosidodecahedra, five great dodecicosahedra, five triangular prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.
It can be obtained as the blend of 5 great dipentary hecatonicosidishexacosichora and 5 great dipentary trishecatonicosiprismatohexacosichora. In the process, some of the octahemioctahedron cells blend out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great diretrosnub disnub decahecatonicosadishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 29: Dircospids" (#1715).
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