Small omnicircumfacetopental trishecatonicosachoron
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| Small omnicircumfacetopental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Som fapathi |
| Elements | |
| Cells | 120 ike, 120 id, 120 srid |
| Faces | 3600 triangles, 1800 squares, 1440 pentagons |
| Edges | 3600 |
| Vertices | 720 |
| Edge figure | id.srid.srid.ike.srid.srid.id |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 19320 |
| Level of complexity | 33 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rox |
| Conjugate | Great invertipental trishecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small omnicircumfacetopental trishecatonicosachoron, or som fapathi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 icosidodecahedra, and 120 rhombicosidodecahedra.
It is in the regiment of the rectified hexacosichoron.
Gallery[edit | edit source]
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#83).