Great dispinosnub prismatodisnub heptishexacosichoron
| Great dispinosnub prismatodisnub heptishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gedanspidshex |
| Elements | |
| Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 great dodecahedra, 2400 compound of two cubohemioctahedra, 600 compound of great icosicosidodecahedron and great ditrigonal dodecicosidodecahedron, 600 great rhombidodecahedra, 600 icosidodecadodecahedra, 6000 triangular prisms |
| Faces | 19200 triangles, 32400 squares, 14400 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 dispinosnub prismatodisnub heptishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 41400 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great dispinosnub prismatodisnub heptishexacosichoron, or gedanspidshex, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 600 great dodecahedra, 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great icosicosidodecahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 great rhombidodecahedra, 600 icosidodecadodecahedra, and 6000 triangular prisms.
One great icosahedron and one small stellated dodecahedron (two compounds), one great dodecahedron, eight cubohemioctahedra (eight compounds), five great icosicosidodecahedra and five great ditrigonal dodecicosidodecahedra (ten compounds), five great rhombidodecahedra, five icosidodecadodecahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 great dipentary hecatonicosihexacositrishecatonicosachora and 5 great capped dipentary prismatodishecatonicosihexacosihecatonicosachora. In the process, some of the cubohemioctahedron 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" (#1787).