Small omnifacetopental trishecatonicosachoron
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| Small omnifacetopental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sofapathi |
| Elements | |
| Cells | 120 tid, 120 id, 120 srid |
| Faces | 3600 triangles, 1800 squares, 1440 pentagons, 720 decagons |
| Edges | 3600 |
| Vertices | 720 |
| Edge figure | id.srid.srid.tid.tid.tid.srid.srid.id |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 53280 |
| Level of complexity | 92 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rox |
| Conjugate | Great polar facetopental trishecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small omnifacetopental trishecatonicosachoron, or sofapathi, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra, 120 icosidodecahedra, 120 rhombicosidodecahedra.
It has pseudo ike+gads and pseudo oct+4s.
It is in the regiment of the rectified hexacosichoron.
Gallery[edit | edit source]
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#84).