Great retrofrustary pentisicositetrachoron
| Great retrofrustary pentisicositetrachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Girfopi |
| Elements | |
| Cells | 24 querco, 24 gocco, 24 socco, 24 sirco, 24 cotco |
| Faces | 384 triangles, 576 squares, 96 hexagons, 144 octagons, 144 octagrams |
| Edges | 576+576 |
| Vertices | 288 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Cont |
| Regiment | Afdec |
| Conjugate | Sirfopi |
| Abstract & topological properties | |
| Euler characteristic | 360 |
| Orientable | No |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Wild |
The great retrofrustary pentisicositetrachoron, or girfopi, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra, 24 great cubicuboctahedra, 24 small cubicuboctahedra, 24 small rhombicuboctahedra, and 24 cuboctatruncated cuboctahedra. Two quasirhombicuboctahedra, two great cubicuboctahedra, two small cubicuboctahedra, two small rhombicuboctahedra, and four cuboctatruncated cuboctahedra join at each vertex.
It has the same cell counts as the small retrofrustary pentisicositetrachoron, but the quasirhombicuboctahedra, great cubicuboctahedra, small cubicuboctahedra, and small rhombicuboctahedra are in different positions.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 15: Afdec Regiment" (#647).
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