Great dispinosnub tetrishexacosi prismatosnub dishexacosichoron
| Great dispinosnub tetrishexacosi prismatosnub dishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidanstux pasidox |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 great dodecahedra, 2400 compound of two cubohemioctahedra, 600 icosidodecadodecahedra, 600 great rhombidodecahedra, 600 great icosicosidodecahedra, 3600 pentagonal prisms |
| Faces | 12000 triangles, 32400 squares, 14400 pentagons, 7200 pentagrams, 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 tetrishexacosi prismatosnub dishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 28800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub tetrishexacosi prismatosnub dishexacosichoron, or gidanstux pasidox, 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 great dodecahedra, 4800 cubohemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 great rhombidodecahedra, 600 great icosicosidodecahedra, and 3600 pentagonal prisms.
One small stellated dodecahedron and one great icosahedron (two compounds), one great dodecahedron, eight cubohemioctahedra (eight compounds), five icosidodecadodecahedra, five great rhombidodecahedra, five great icosicosidodecahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great capped dipentary hexacositetrishecatonicosachora and 5 great dipentary prismatohecatonicosihexacosihecatonicosachora. 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" (#1776).