Great invertipental trishecatonicosachoron
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| Great invertipental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gipathi |
| Elements | |
| Cells | 120 gike, 120 qrid, 120 gid |
| Faces | 3600 triangles, 1800 squares, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 720 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 98640 |
| Level of complexity | 226 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rigfix |
| Conjugate | Som fapathi |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 3600 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| 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]
The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#125).
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