Great diretrosnub prismatosnubdisnub pentishexacosichoron
| Great diretrosnub prismatosnubdisnub pentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadersposidspox |
| Elements | |
| Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 great dodecicosahedra, 600 great dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagonal prisms, 6000 triangular prisms |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 7200 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 prismatosnubdisnub pentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 36600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub prismatosnubdisnub pentishexacosichoron, or gadersposidspox, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 4800 octahemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 great dodecicosahedra, 600 great dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagonal prisms, and 6000 triangular prisms.
One great icosahedron, one icosahedron, eight octahemioctahedra (eight compounds), five great dodecicosahedra, five great dodecicosidodecahedra, five icosidodecadodecahedra, five pentagonal prisms, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great dipentary disprismatohecatonicosihexacosihecatonicosachora. 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" (#1730).