Small omnifacetopental trishecatonicosachoron
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| Small omnifacetopental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sofapathi |
| Elements | |
| Cells | |
| Faces | |
| Edges | 3600 |
| Vertices | 720 |
| Edge figure | id.srid.srid.tid.tid.tid.srid.srid.id |
| Measures (edge length 1) | |
| Circumradius | |
| Central density | 53 |
| 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 | |
| Flag count | 129600 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Flag orbits | 9 |
| Convex | No |
| Nature | Wild |
The small omnifacetopental trishecatonicosachoron, or sofapathi, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra, 120 icosidodecahedra, and 120 small rhombicosidodecahedra. Ten truncated dodecahedra, five icosidodecahedra, and ten small rhombicosidodecahedra join at each vertex.
It has ike+gads and oct+4s as pseudofacets.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of its regiment colonel, the rectified hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#84).