Great diretrosnub prismatosnub octishexacosichoron
| Great diretrosnub prismatosnub octishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadersapsox |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 great ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 600 truncated great icosahedra, 3600 pentagonal prisms |
| Faces | 38400 triangles, 18000 squares, 14400 pentagons, 14400 pentagrams, 19200 hexagons, 2400 golden hexagrams, 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 diretrosnub prismatosnub octishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 51600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub prismatosnub octishexacosichoron, or gadersapsox, 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 icosahedra and 600 great dodecahedra (forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 great ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 600 truncated great icosahedra, and 3600 pentagonal prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), one icosahedron and one great dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five great ditrigonal dodecicosidodecahedra, five icosidodecadodecahedra, five quasirhombicosidodecahedra, five truncated great icosahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary trishecatonicosihecatonicosihexacosichora and 5 great dipentary tetrishecatonicosiprismatohexacosichora. In the process, some of the octahemioctahedron 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" (#1732).