Great dipentary hecatonicosihexacosiprismatotrishecatonicosachoron
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| Great dipentary hecatonicosihexacosiprismatotrishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidphixipthi |
| Elements | |
| Cells | 120 sissid, 120 gad, 1200 trip, 600 tut, 120 qrid, 120 giid |
| Faces | 4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Gidipthi |
| Conjugate | Small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 230400 |
| Euler characteristic | 5640 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great dipentary hecatonicosihexacosiprismatotrishecatonicosachoron, or gidphixipthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 1200 triangular prisms, 600 truncated tetrahedra, 120 quasirhombicosidodecahedra, and 120 great icosicosidodecahedra. One small stellated dodecahedron, one great dodecahedron, five triangular prisms, five truncated tetrahedra, five quasirhombicosidodecahedra, and five great icosicosidodecahedra join at each vertex.
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" (#1085).
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