Great spinoretrosnub hexishexacosichoron
Great spinoretrosnub hexishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gnarshax |
Elements | |
Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 icosahedra, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 great dodecicosahedra, 600 truncated great icosahedra, 600 great rhombidodecahedra |
Faces | 21600 triangles, 18000 squares, 7200 pentagrams, 19200 hexagons, 1200 golden hexagrams, 7200 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 hexishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 18600 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great spinoretrosnub hexishexacosichoron, or gnarshax, 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 cubohemioctahedra (forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 great dodecicosahedra, 600 truncated great icosahedra, and 600 great rhombidodecahedra.
One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five great dodecicosahedra, five truncated great icosahedra, and five great rhombidodecahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great spinocapped dipentary hexacositrishecatonicosachora. 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" (#1814).