Great dispinosnub snub prismatosnub pentishexacosipentishecatonicosachoron
| Great dispinosnub snub prismatosnub pentishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidansos pispoxphi |
| Elements | |
| Cells | 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 great dodecicosahedra, 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 3600 pentagonal prisms |
| Faces | 12000 triangles, 32400 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 7200 decagrams |
| Edges | 14400+2×21600 |
| Vertices | 7200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Grix |
| Regiment | Gadros daskydox |
| Conjugate | Small dispinosnub snub prismatosnub pentishexacosipentishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 30000 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub snub prismatosnub pentishexacosipentishecatonicosachoron, or gidansos pispoxphi, is a nonconvex uniform polychoron that consists of 1200 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 3600 pentagonal prisms.
Two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five great dodecicosahedra, five rhombidodecadodecahedra, five great dodecicosidodecahedra, five truncated tetrahedra (one compound, four single), and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 great dipentary hexacositrishecatonicosihexacosichora. 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" (#1759).