Great dipentary prismatodishexacosidishecatonicosachoron
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| Great dipentary prismatodishexacosidishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidpip dixady |
| Elements | |
| Cells | 120 gike, 120 ike, 1200 trip, 600 tut, 600 cho |
| Faces | 4800 triangles, 3600 squares, 2400 hexagons |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Gidipthi |
| Conjugate | Small dipentary prismatodishexacosidishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 172800 |
| Euler characteristic | 2400 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great dipentary prismatodishexacosidishecatonicosachoron, or gidpip dixady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 1200 triangular prisms, 600 truncated tetrahedra, and 600 cubohemioctahedra. One great icosahedron, one icosahedron, five triangular prisms, five truncated tetrahedra, and five cubohemioctahedra join at each vertex.
It has the same cell counts as its conjugate, the small dipentary prismatodishexacosidishecatonicosachoron, but the icosahedra and great icosahedra are in opposite positions.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1084).
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