Great diretrosnub heptishexacosichoron
| Great diretrosnub heptishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gedroshox |
| Elements | |
| Cells | 600 compound of small stellated dodecahedron and great icosahedron, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, 600 great dodecicosidodecahedra, 600 truncated great icosahedra |
| Faces | 38400 triangles, 7200 pentagons, 14400 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 heptishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 34200 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The great diretrosnub heptishexacosichoron, or gedroshox, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 600 icosahedra, 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, 600 great dodecicosidodecahedra, and 600 truncated great icosahedra.
One small stellated dodecahedron and one great icosahedron (two compounds), one icosahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five great ditrigonal dodecicosidodecahedra, five great dodecicosidodecahedra, and five truncated great icosahedra join at each vertex.
It can be obtained as the blend of 5 great dipentary trishecatonicosihecatonicosihexacosichora and 5 great invertidipentary hecatonicosihexacosidishecatonicosachora. 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" (#1712).
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