Polar facetopental hexacosidishecatonicosachoron
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Polar facetopental hexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Lifpixady |
Elements | |
Cells | 120 dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 600 truncated tetrahedra |
Faces | 720 pentagons, 1440 pentagrams, 2400 triangles, 1200 hexagons |
Edges | 3600 |
Vertices | 720 |
Vertex figure | Faceted semi-uniform pentagonal prism, edge lengths (√5–1)/2 (base) and (1+√5)/2 (side) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Number of external pieces | 364080 |
Level of complexity | 647 |
Related polytopes | |
Army | Rox |
Regiment | Righi |
Conjugate | Ofapaxady |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 2040 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The polar facetopental hecatonicosachoron, or lifpixady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 600 truncated tetrahedra. Five dodecadodecahedra, 10 small ditrigonal dodecicosidodecahedra, and 10 truncated tetrahedra meet each vertex.
It also has great complex icosidodecahedra 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" (#96).