Great dispinosnub tetrishexacosichoron
| Great dispinosnub tetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidnostux |
| Elements | |
| Cells | 600 small stellated dodecahedra, 2400 compound of two cubohemioctahedra, 600 truncated great icosahedra, 600 great rhombidodecahedra, 600 rhombicosahedra |
| Faces | 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 tetrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 7200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub tetrishexacosichoron, or gidnostux, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 4800 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 truncated great icosahedra, 600 great rhombidodecahedra, and 600 rhombicosahedra.
One small stellated dodecahedron, eight cubohemioctahedra (eight compounds), five truncated great icosahedra, five great rhombidodecahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosihecatonicosachora and 5 great spinocapped dipentary hexacositrishecatonicosachora. 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" (#1736).