Great dispinosnub pentishexacosichoron
| Great dispinosnub pentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidnaspox |
| Elements | |
| Cells | 600 small stellated dodecahedra, 600 icosahedra, 2400 compound of two cubohemioctahedra, 600 quasirhombicosidodecahedra, 600 great dodecicosahedra, 600 rhombicosahedra |
| Faces | 12000 triangles, 32400 squares, 7200 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 pentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 18600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub pentishexacosichoron, or gidnaspox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 icosahedra, 4800 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 quasirhombicosidodecahedra, 600 great dodecicosahedra, and 600 rhombicosahedra.
One small stellated dodecahedron, one icosahedron, eight cubohemioctahedra (eight compounds), five quasirhombicosidodecahedra, five great dodecicosahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosihecatonicosachora 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" (#1747).