Great snubretrosnub snub pentishexacosipentishecatonicosachoron
| Great snubretrosnub snub pentishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gosirsaspoxphi |
| Elements | |
| Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 rhombidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 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 pentishexacosipentishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 29400 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great snubretrosnub snub pentishexacosipentishecatonicosachoron, or gosirsaspoxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 rhombidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five rhombidodecadodecahedra, five great ditrigonal dodecicosidodecahedra, and five truncated tetrahedra (one compound, four single) join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosidishecatonicosachora 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" (#1788).