Great dispinosnub prismatosnub heptishexacosichoron
Great dispinosnub prismatosnub heptishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gednasposhex |
Elements | |
Cells | 600 pentagrammatic snub pseudodisoctahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 600 truncated great icosahedra, 3600 pentagonal prisms |
Faces | 32400 squares, 14400 pentagons, 14400 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 3600 decagrams |
Edges | 14400+2×21600 |
Vertices | 7200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Grix |
Regiment | Gadros daskydox |
Conjugate | Small dispinosnub prismatosnub heptishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 23400 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great dispinosnub prismatosnub heptishexacosichoron, or gednasposhex, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagrammatic snub pseudodisoctahedra), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 600 truncated great icosahedra, and 3600 pentagonal prisms.
Two small stellated dodecahedra (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five great dodecicosahedra, five truncated great icosahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great capped dipentary tetrishecatonicosihexacosichora and 5 great capped dipentary prismatohexacositrishecatonicosachora. 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" (#1740).