Great diretrosnub snub pentishecatonicosipentishexacosichoron
Great diretrosnub snub pentishecatonicosipentishexacosichoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadros sphipix |
Elements | |
Cells | 600 compound of great icosahedron and small stellated dodecahedron, 600 icosahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 great ditrigonal dodecicosidodecahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 38400 triangles, 7200 pentagons, 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 pentishecatonicosipentishexacosichoron |
Abstract & topological properties | |
Euler characteristic | 21600 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The great diretrosnub snub pentishecatonicosipentishexacosichoron, or gadros sphipix, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (some of which lie 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, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five great ditrigonal dodecicosidodecahedra, 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 trishecatonicosihecatonicosihexacosichora. 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" (#1706).
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