Small invertifrustary pentisicositetrachoron
| Small invertifrustary pentisicositetrachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sifopi |
| Elements | |
| Cells | 24 querco, 24 groh, 24 sirco, 24 sroh, 24 cotco |
| Faces | 192 triangles, 720 squares, 96 hexagons, 144 octagons, 144 octagrams |
| Edges | 576+576 |
| Vertices | 288 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Cont |
| Regiment | Afdec |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 312 |
| Orientable | No |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Wild |
The small invertifrustary pentisicositetrachoron, or sifopi, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra, 24 great rhombihexahedra, 24 small rhombicuboctahedra, 24 small rhombihexahedra, and 24 cuboctatruncated cuboctahedra. Two quasirhombicuboctahedra, two great rhombihexahedra, two small rhombicuboctahedra, two small rhombihexahedra, and four cuboctatruncated cuboctahedra join at each vertex.
It has the same cell counts as the great invertifrustary pentisicositetrachoron, but the quasirhombicuboctahedra, great rhombihexahedra, small rhombicuboctahedra, and small rhombihexahedra 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" (#650).
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