Great dispinosnub prismatosnub dishexacosipentishexacosichoron
| Great dispinosnub prismatosnub dishexacosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gednasposid xopex |
| Elements | |
| Cells | 600 pentagrammatic snub pseudodisoctahedra, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 truncated great icosahedra, 600 great dodecicosahedra, 600 quasirhombicosidodecahedra, 3600 pentagonal prisms |
| Faces | 12000 triangles, 32400 squares, 7200 pentagons, 14400 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 3600 decagrams |
| Edges | 14400+2×21600 |
| Vertices | 7200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Grix |
| Regiment | Gadros daskydox |
| Conjugate | Small dispinosnub prismatosnub dishexacosipentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 28200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub prismatosnub dishexacosipentishexacosichoron, or gednasposid xopex, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagrammatic snub pseudodisoctahedra), 600 great dodecahedra and 600 icosahedra (forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated great icosahedra, 600 great dodecicosahedra, 600 quasirhombicosidodecahedra, and 3600 pentagonal prisms.
Two small stellated dodecahedra (two compounds), one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five truncated great icosahedra, five great dodecicosahedra, five quasirhombicosidodecahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great capped dipentary prismatohexacositrishecatonicosachora and 5 great dipentary hexacosihecatonicositrishecatonicosachora. In the process, some of the cubohemioctahedron 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" (#1753).