Small retrofrustary prismatotetracontoctitrisicositetrachoron
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Small retrofrustary prismatotetracontoctitrisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sirfpicti |
Elements | |
Cells | 48 co, 24 gocco, 24 groh, 24 sirco, 96 hip |
Faces | 384 triangles, 864 squares, 96 hexagons, 144 octagrams |
Edges | 576+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Cont |
Regiment | Afdec |
Conjugate | Sifpicti |
Abstract & topological properties | |
Euler characteristic | 408 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The small retrofrustary prismatotetracontoctitrisicositetrachoron, or sirfpicti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 great rhombihexahedra, 24 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, two great cubicuboctahedra, two great rhombihexahedra, two small rhombicuboctahedra, and four hexagonal prisms join at each vertex.
It has the same cell counts as the great retrofrustary prismatotetracontoctitrisicositetrachoron, but the great cubicuboctahedra, great rhombihexahedra, 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" (#631).
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