Great dispinosnub prismatosnub hexacosidishexacosichoron
| Great dispinosnub prismatosnub hexacosidishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gedansposixdox |
| Elements | |
| Cells | 600 great icosahedra, 2400 compound of two cubohemioctahedra, 600 great icosicosidodecahedra, 600 rhombicosahedra, 3600 pentagonal prisms |
| Faces | 12000 triangles, 32400 squares, 7200 pentagons, 19200 hexagons, 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 dispinosnub prismatosnub hexacosidishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 12600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub prismatosnub hexacosidishexacosichoron, or gedansposixdox, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 4800 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 great icosicosidodecahedra, 600 rhombicosahedra, and 3600 pentagonal prisms.
One great icosahedron, eight cubohemioctahedra (eight compounds), five great icosicosidodecahedra, five rhombicosahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosihecatonicosachora and 5 great dipentary prismatohecatonicosihexacosihecatonicosachora. 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" (#1761).