Great dispinosnub snub prismatodisnub hexishexacosipentishecatonicosachoron
| Great dispinosnub snub prismatodisnub hexishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadinsospid shoxphi |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 compound of great dodecahedron and icosahedron, 2400 compound of two cubohemioctahedra, 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 6000 triangular prisms |
| Faces | 24000 triangles, 32400 squares, 7200 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 snub prismatodisnub hexishexacosipentishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 28200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub snub prismatodisnub hexishexacosipentishecatonicosachoron, or gadinsospid shoxphi, 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), 600 great dodecahedra and 600 icosahedra (forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 6000 triangular prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five great dodecicosahedra, five truncated tetrahedra (one compound, four single), and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 great capped dipentary tetrishecatonicosihexacosichora and 5 great dipentary prismatodishexacosidishecatonicosachora. 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" (#1778).