Great diretrosnub prismatosnub hexishexacosichoron
| Great diretrosnub prismatosnub hexishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gadrospashix |
| Elements | |
| Cells | 600 great icosahedra, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 truncated great icosahedra, 600 great dodecicosidodecahedra, 600 rhombicosahedra, 600 great ditrigonal dodecicosidodecahedra, 3600 pentagonal prisms |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 7200 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 prismatosnub hexishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 42000 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub prismatosnub hexishexacosichoron, or gadrospashix, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 4800 octahemioctahedra (falling into pairs in the same hyperplanes, forming 2400 compounds of two), 600 truncated great icosahedra, 600 great dodecicosidodecahedra, 600 rhombicosahedra, 600 great ditrigonal dodecicosidodecahedra, and 3600 pentagonal prisms.
One great icosahedron, one icosahedron, eight octahemioctahedra (eight compounds), five truncated great icosahedra, five great dodecicosidodecahedra, five rhombicosahedra, five great ditrigonal dodecicosidodecahedra, and five pentagonal prisms join at each vertex.
It can be obtained as the blend of 5 great invertidipentary hecatonicosihexacosidishecatonicosachora and 5 great based dipentary prismatodishecatonicosihexacosihecatonicosachora. 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" (#1734).