Small invertifrustary prismatotetracontoctitetrisicositetrachoron
Small invertifrustary prismatotetracontoctitetrisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sifpacuti |
Elements | |
Cells | 48 co, 24 gocco, 24 querco, 24 sroh, 24 cotco, 96 hip |
Faces | 384 triangles, 864 squares, 192 hexagons, 144 octagons, 144 octagrams |
Edges | 576+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Cont |
Regiment | Afdec |
Conjugate | Srifpacuti |
Abstract & topological properties | |
Euler characteristic | 624 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The small invertifrustary prismatotetracontoctitetrisicositetrachoron, or sifpacuti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 quasirhombicuboctahedra, 24 small rhombihexahedra, 24 cuboctatruncated cuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, two great cubicuboctahedra, two quasirhombicuboctahedra, two small rhombihexahedra, four cuboctatruncated cuboctahedra, and four hexagonal prisms join at each vertex.
It has the same cell counts as the great invertifrustary prismatotetracontoctitetrisicositetrachoron, but the great cubicuboctahedra, quasirhombicuboctahedra, 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" (#657).
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