Great diretrosnub snub prismatodisnub tetrishexacosipentishecatonicosachoron
Great diretrosnub snub prismatodisnub tetrishexacosipentishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadersospid stuxphi |
Elements | |
Cells | 600 great icosahedra, 600 great dodecahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 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 diretrosnub snub prismatodisnub tetrishexacosipentishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 30600 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great diretrosnub snub prismatodisnub tetrishexacosipentishecatonicosachoron, or gadersospid stuxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra, 4800 octahemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron, one great dodecahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five quasirhombicosidodecahedra, five triangular prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.
It can be obtained as the blend of 5 great dipentary hecatonicosidishexacosichora and 5 great based dipentary trishecatonicosiprismatohexacosichora. In the process, some of the octahemioctahedron 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" (#1718).
This article is a stub. You can help Polytope Wiki by expanding it. |