Great dispinosnub prismatosnub trishexacositrishexacosichoron
Great dispinosnub prismatosnub trishexacositrishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidan spistaxtix |
Elements | |
Cells | 600 small stellated dodecahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 great dodecicosahedra, 600 icosidodecadodecahedra, 600 great rhombidodecahedra, 3600 pentagonal prisms |
Faces | 32400 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 7200 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 trishexacositrishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 20400 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great dispinosnub prismatosnub trishexacositrishexacosichoron, or gidan spistaxtix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 600 icosidodecadodecahedra, 600 great rhombidodecahedra, and 3600 pentagonal prisms.
One small stellated dodecahedron, two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five great dodecicosahedra, five icosidodecadodecahedra, five great rhombidodecahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 great capped dipentary hexacositetrishecatonicosachora. 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" (#1745).