Great snubretrosnub prismatosnub pentishexacosichoron
| Great snubretrosnub prismatosnub pentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gosirsapspox |
| Elements | |
| Cells | 600 great icosahedra, 600 snub disoctahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 compound of great dodecicosahedron and great ditrigonal dodecicosidodecahedron, 3600 pentagonal prisms |
| Faces | 33600 triangles, 18000 squares, 7200 pentagons, 10800 hexagons, 4800 golden hexagrams, 7200 decagrams, 600 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 snubretrosnub prismatosnub pentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 25800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great snubretrosnub prismatosnub pentishexacosichoron, or gosirsapspox, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 great dodecicosahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), and 3600 pentagonal prisms.
One great icosahedron, two icosahedra (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five great dodecicosahedra and five great ditrigonal dodecicosidodecahedra (ten compounds), and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosiprismatodishecatonicosachora and 5 great dipentary dishecatonicosihexacosihecatonicosachora. In the process, some of the octahemioctahedron and cuboctahedron 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" (#1800).