Great diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron
| Great diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadersosposid stixphi |
| Elements | |
| Cells | 600 great icosahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 great dodecicosidodecahedra, 3600 pentagonal prisms, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
| Faces | 38400 triangles, 18000 squares, 7200 pentagon, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 3600 decagrams, 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 prismatosnubdisnub trishexacosipentishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 31200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron, or gadersosposid stixphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 4800 octahemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 great dodecicosidodecahedra, 3600 pentagonal prisms, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five great dodecicosidodecahedra, five pentagonal prisms, 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 dipentary disprismatohecatonicosihexacosihecatonicosachora. 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" (#1721).
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