Great snubretrosnub dishexacosipentishexacosichoron
| Great snubretrosnub dishexacosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gosirsadixpox |
| Elements | |
| Cells | 600 small retrosnub disoctahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, 600 great dodecicosahedra |
| Faces | 33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 10800 hexagons, 4800 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 dishexacosipentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 34800 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great snubretrosnub dishexacosipentishexacosichoron, or gosirsadixpox, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (falling into pairs in the same hyperplanes, forming 600 small retrosnub disoctahedra), 600 icosahedra and 600 great dodecahedra (forming 600 compounds of one of each), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 rhombidodecadodecahedra, 600 great dodecicosidodecahedra, and 600 great dodecicosahedra.
Two great icosahedra (two compounds), one icosahedron and one great dodecahedron (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five rhombidodecadodecahedra, five great dodecicosidodecahedra, and five great dodecicosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacositetrishecatonicosachora and 5 great dipentary dishecatonicosihexacosihecatonicosachora. 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" (#1805).