Great snubretrosnub prismatosnub hexishexacosichoron
Great snubretrosnub prismatosnub hexishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gosirspashox |
Elements | |
Cells | 600 small stellated dodecahedra, 600 snub disoctahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 600 compound of two great ditrigonal dodecicosidodecahedra, 600 icosidodecadodecahedra, 3600 pentagonal prisms |
Faces | 28800 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 10800 hexagons, 7200 golden hexagrams, 3600 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 prismatosnub hexishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 35400 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great snubretrosnub prismatosnub hexishexacosichoron, or gosirspashox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 1200 great ditrigonal dodecicosidodecahedra (forming 600 compounds of two), 600 icosidodecadodecahedra, and 3600 pentagonal prisms.
One small stellated dodecahedron, two icosahedra (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), ten great ditrigonal dodecicosidodecahedra (ten compounds), five icosidodecadodecahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hexacosiprismatodishecatonicosachora and 5 great dipentary trishecatonicosihecatonicosihexacosichora. 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" (#1801).