Great invertipental trishecatonicosachoron
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| Great invertipental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gipathi |
| Elements | |
| Cells | |
| Faces |
|
| Edges | 3600 |
| Vertices | 720 |
| Measures (edge length 1) | |
| Circumradius | |
| Central density | 375 |
| Number of external pieces | 98640 |
| Level of complexity | 226 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rigfix |
| Conjugate | Som fapathi |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 100800 |
| Euler characteristic | 3600 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Flag orbits | 7 |
| Convex | No |
| Nature | Wild |
The great invertipental trishecatonicosachoron, or gipathi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 quasirhombicosidodecahedra, and 120 great icosidodecahedra. Two great icosahedra, ten quasirhombicosidodecahedra, and five great icosidodecahedra join at each vertex.
It is superficially identical to the great intercepted invertipental trishecatonicosachoron, differing only internally.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified great faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#125).