Medial omnicircumfacetopental trishecatonicosachoron
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| Medial omnicircumfacetopental trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Mom fapathi |
| Elements | |
| Cells | |
| Faces |
|
| Edges | 3600 |
| Vertices | 720 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 79320 |
| Level of complexity | 155 |
| Related polytopes | |
| Army | Rox |
| Regiment | Righi |
| Conjugate | Medial invertipental trishecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 100800 |
| Euler characteristic | –480 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Flag orbits | 7 |
| Convex | No |
| Nature | Wild |
The medial omnicircumfacetopental trishecatonicosachoron, or mom fapathi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 small icosicosidodecahedra, and 120 icosidodecahedra. Two small stellated dodecahedra, five icosidodecahedra, and ten small icosicosidodecahedra join at each vertex.
It also has dodecadodecahedra+hexagons as exotic pseudofacets.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified great hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#98).