Great snubretrosnub trishexacositetrishexacosichoron
| Great snubretrosnub trishexacositetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gosirstixtux |
| Elements | |
| Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 truncated great icosahedra, 600 great dodecicosidodecahedra, 600 rhombidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 14400 pentagrams, 10800 hexagons, 2400 golden hexagrams, 7200 decagrams, 600 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 snubretrosnub trishexacositetrishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 42000 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great snubretrosnub trishexacositetrishexacosichoron, or gosirstixtux, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 truncated great icosahedra, 600 great dodecicosidodecahedra, 600 rhombidodecadodecahedra, and 600 great ditrigonal dodecicosidodecahedra.
One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five truncated great icosahedra, five great dodecicosidodecahedra, five rhombidodecadodecahedra, and five great ditrigonal dodecicosidodecahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosidishecatonicosachora and 5 great invertidipentary hecatonicosihexacosidishecatonicosachora. In the process, some of the octahemioctahedron and cuboctahedron 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" (#1790).