Great dispinosnub dishexacositrishexacosichoron
| Great dispinosnub dishexacositrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadnisdextix |
| Elements | |
| Cells | 600 great icosahedra, 600 great dodecahedra, 2400 compound of two cubohemioctahedra, 600 great rhombidodecahedra, 600 rhombicosahedra, 600 great icosicosidodecahedra |
| Faces | 12000 triangles, 32400 squares, 7200 pentagons, 19200 hexagons, 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 dispinosnub dishexacositrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 18600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub dishexacositrishexacosichoron, or gadnisdextix, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra, 4800 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 great rhombidodecahedra, 600 rhombicosahedra, and 600 great icosicosidodecahedra.
One great icosahedron, one great dodecahedron, eight cubohemioctahedra (eight compounds), five great rhombidodecahedra, five rhombicosahedra, and five great icosicosidodecahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosihecatonicosachora and 5 great dipentary hecatonicosihexacositrishecatonicosachora. 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" (#1762).