Small invertifrustary prismatotetracontoctitrisicositetrachoron
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Small invertifrustary prismatotetracontoctitrisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sifpicti |
Elements | |
Cells | 48 co, 24 querco, 24 socco, 24 sroh, 96 hip |
Faces | 384 triangles, 864 squares, 96 hexagons, 144 octagons |
Edges | 576+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Cont |
Regiment | Afdec |
Conjugate | Sirfpicti |
Abstract & topological properties | |
Euler characteristic | 408 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The small invertifrustary prismatotetracontoctitrisicositetrachoron, or sifpicti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 quasirhombicuboctahedra, 24 small cubicuboctahedra, 24 small rhombihexahedra, and 96 hexagonal prisms. Two cuboctahedra, two quasirhombicuboctahedra, two small cubicuboctahedra, two small rhombihexahedra, and four hexagonal prisms join at each vertex.
It has the same cell counts as the great invertifrustary prismatotetracontoctitrisicositetrachoron, but the quasirhombicuboctahedra, small cubicuboctahedra, 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" (#633).
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