Great diretrosnub prismatosnub dishexacositetrishexacosichoron
| Great diretrosnub prismatosnub dishexacositetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadersposid xotux |
| Elements | |
| Cells | 600 great icosahedra, 600 snub disoctahedra, 2400 compound of two octahemioctahedra, 600 compound of great dodecicosahedron and great ditrigonal dodecicosidodecahedron, 600 rhombicosahedra, 3600 pentagonal prisms |
| Faces | 33600 triangles, 18000 squares, 7200 pentagons, 19200 hexagons, 4800 golden hexagrams, 7200 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 diretrosnub prismatosnub dishexacositetrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 34800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub prismatosnub dishexacositetrishexacosichoron, or gadersposid xotux, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 rhombicosahedra, and 3600 pentagonal prisms.
One great icosahedron, two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five great dodecicosahedra and five great ditrigonal dodecicosidodecahedra (ten compounds), five rhombicosahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great based dipentary prismatodishecatonicosihexacosihecatonicosachora. In the process, some of the octahemioctahedron 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" (#1723).
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