Great spinoretrosnub tetrishexacosichoron
| Great spinoretrosnub tetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gnarstux |
| Elements | |
| Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 great dodecicosahedra, 600 rhombicosahedra |
| Faces | 21600 triangles, 18000 squares, 19200 hexagons, 1200 golden hexagrams, 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 spinoretrosnub tetrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 9000 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great spinoretrosnub tetrishexacosichoron, or gnarstux, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 octahemioctahedra and 2400 cubohemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 great dodecicosahedra, and 600 rhombicosahedra.
One great icosahedron, one icosahedron, four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five great dodecicosahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great dipentary hexacosihecatonicosachora. In the process, some of the octahemioctahedron and 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" (#1812).