Great dispinosnub dishexacosidishexacosichoron
| Great dispinosnub dishexacosidishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidnasdixdox |
| Elements | |
| Cells | 600 icosahedra, 2400 compound of two cubohemioctahedra, 600 truncated great icosahedra, 600 quasirhombicosidodecahedra, 600 rhombicosahedra |
| Faces | 12000 triangles, 32400 squares, 7200 pentagrams, 19200 hexagons, 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 dispinosnub dishexacosidishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 15600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub dishexacosidishexacosichoron, or gidnasdixdox, is a nonconvex uniform polychoron that consists of 600 icosahedra, 4800 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 truncated great icosahedra, 600 quasirhombicosidodecahedra, and 600 rhombicosahedra.
One icosahedron, eight cubohemioctahedra (eight compounds), five truncated great icosahedra, five quasirhombicosidodecahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosihecatonicosachora and 5 great based dipentary hexacositrishecatonicosachora. In the process, some of the cubohemioctahedron 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" (#1746).