Great dispinosnub prismatosnub tetrishexacositrishexacosichoron
| Great dispinosnub prismatosnub tetrishexacositrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gedanspostuxtix |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 truncated great icosahedra, 600 great rhombidodecahedra, 600 great icosicosidodecahedra, 3600 pentagonal prisms |
| Faces | 12000 triangles, 32400 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 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 dispinosnub prismatosnub tetrishexacositrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 28200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub prismatosnub tetrishexacositrishexacosichoron, or gedanspostuxtix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 truncated great icosahedra, 600 great rhombidodecahedra, 600 great icosicosidodecahedra, and 3600 pentagonal prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five truncated great icosahedra, five great rhombidodecahedra, five great icosicosidodecahedra, 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 hecatonicosihexacositrishecatonicosachora. 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" (#1770).