Great diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron
Great diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadersospis phidexdix |
Elements | |
Cells | 600 small retrosnub disoctahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 3600 pentagonal prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 33600 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 4800 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 prismatosnub pentishecatonicosidishexacosidishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 33000 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great diretrosnub snub prismatosnub pentishecatonicosidishexacosidishexacosichoron, or gadersospis phidexdix, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (falling into pairs in the same hyperplanes, forming 600 small retrosnub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, 3600 pentagonal prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
Two great icosahedra (two compounds), eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five quasirhombicosidodecahedra, five pentagonal 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 capped 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" (#1719).
This article is a stub. You can help Polytope Wiki by expanding it. |