Great snubretrosnub snub prismatodisnub dishexacosipentishecatonicosachoron
Great snubretrosnub snub prismatodisnub dishexacosipentishecatonicosachoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gosirsospid sidoxphi |
Elements | |
Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of octahemioctahedron and cuboctahedron, 120 great antirhombicosahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra, 6000 triangular prisms |
Faces | 38400 triangles, 18000 squares, 10800 hexagons, 2400 golden hexagrams, 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 snub prismatodisnub dishexacosipentishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 7200 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great snubretrosnub snub prismatodisnub dishexacosipentishecatonicosachoron, or gosirsospid sidoxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 6000 triangular prisms.
One great icosahedron, one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five truncated tetrahedra (one compound, four single), and five triangular prisms join at each vertex.
It has the same facet counts as its conjugate, the small snubretrosnub snub prismatodisnub dishexacosipentishecatonicosachoron, although the icosahedra and great icosahedra are in opposite positions.
It can be obtained as the blend of 5 great dipentary prismatohexacosihecatonicosachora and 5 great dipentary hecatonicosidishexacosichora. 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" (#1794).