Great dispinosnub tetrishexacositetrishexacosichoron
| Great dispinosnub tetrishexacositetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gedanstuxtux |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 rhombidodecadodecahedra, 600 compound of great dodecicosahedron and great icosicosidodecahedron, 600 great rhombidodecahedra |
| Faces | 12000 triangles, 32400 squares, 14400 pentagons, 7200 pentagrams, 14400 hexagons, 7200 decagrams, 3600 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 tetrishexacositetrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 34800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub tetrishexacositetrishexacosichoron, or gedanstuxtux, 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 (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 great dodecicosahedra and 600 great icosicosidodecahedra (forming 600 compounds of one of each), and 600 great rhombidodecahedra.
One small stellated dodecahedron and one great icosahedron (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five great dodecicosahedra and five great icosicosidodecahedra (ten compounds), and five great rhombidodecahedra join at each vertex.
It can be obtained as the blend of 5 great capped dipentary tetrishecatonicosihexacosichora 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" (#1765).