Great snubretrosnub snub prismatosnub trishexacosipentishecatonicosachoron
| Great snubretrosnub snub prismatosnub trishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gosirsospistoxphi |
| Elements | |
| Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 great ditrigonal dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 3600 pentagonal prisms |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 10800 hexagons, 2400 golden hexagrams, 3600 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 snub prismatosnub trishexacosipentishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 19800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great snubretrosnub snub prismatosnub trishexacosipentishecatonicosachoron, or gosirsospistoxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 great ditrigonal dodecicosidodecahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 3600 pentagonal prisms.
One great icosahedron, one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five great ditrigonal 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 hexacosiprismatodishecatonicosachora and 5 great dipentary hecatonicosidishexacosichora. 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" (#1799).