Great rhombiprismic hecatonicosihexacosichoron
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Great rhombiprismic hecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Griphix |
Elements | |
Cells | 1200 hexagonal prisms, 600 truncated octahedra, 120 rhombicosahedra |
Faces | 3600+3600 squares, 2400+2400 hexagons |
Edges | 3600+7200+7200 |
Vertices | 7200 |
Vertex figure | Butterfly pyramid, base edge lengths √2, √3, √2, √3; lateral edge lengths √2, √2, √3, √3 |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Toe–6–hip: |
Ri–4–hip: | |
Ri–6–toe: | |
Toe–4–hip: | |
Related polytopes | |
Army | Semi-uniform Prix |
Regiment | Pirgaghi |
Conjugate | Small rhombiprismic hecatonicosihexacosichoron |
Abstract & topological properties | |
Euler characteristic | –720 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great rhombiprismic hecatonicosihexacosichoron, or griphix, is a nonconvex uniform polychoron that consists of 120 rhombicosahedra, 600 hexagonal prisms, and 1200 truncated octahedra. One rhombicosahedron, two hexagonal prisms, and two truncated octahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the prismatorhombated great grand hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#378).