Great omnicircumfacetopental trishecatonicosachoron
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| Great omnicircumfacetopental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gom fapathi |
| Elements | |
| Cells | |
| Faces |
|
| Edges | 3600 |
| Vertices | 720 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 218640 |
| Level of complexity | 485 |
| Related polytopes | |
| Army | Rox |
| Regiment | Ragishi |
| Conjugate | Small invertipental trishecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 100800 |
| Euler characteristic | 2040 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Flag orbits | 7 |
| Convex | No |
| Nature | Wild |
The great omnicircumfacetopental trishecatonicosachoron, or gom fapathi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 dodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Two icosahedra, five dodecadodecahedra, and ten great ditrigonal dodecicosidodecahedra join at each vertex.
It also has great icosidodecahedra+decagrams as exotic pseudofacets.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#113).