Great diretrosnub prismatodisnub heptishexacosichoron
| Great diretrosnub prismatodisnub heptishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gaderspeedshox |
| Elements | |
| Cells | 600 pentagrammatic snub pseudodisoctahedra, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 compound of great ditrigonal dodecicosidodecahedron and great dodecicosahedron, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 6000 triangular prisms |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 14400 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 prismatodisnub heptishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 46200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub prismatodisnub heptishexacosichoron, or gaderspeedshox, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagrammatic snub pseudodisoctahedra), 600 icosahedra, 4800 octahemioctahedra (forming 2400 compounds of two), 600 great ditrigonal dodecicosidodecahedra and 600 great dodecicosahedra (forming 600 compounds of one of each), 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, and 6000 triangular prisms.
Two small stellated dodecahedra (two compounds), one icosahedron, eight octahemioctahedra (eight compounds), five great ditrigonal dodecicosidodecahedra and five great dodecicosahedra (ten compounds), five icosidodecadodecahedra, five quasirhombicosidodecahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary trishecatonicosihecatonicosihexacosichora and 5 great dipentary trishecatonicosiprismatohexacosichora. 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" (#1731).