Small invertifrustary tetracontoctitrisicositetrachoron
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Small invertifrustary tetracontoctitrisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sif citi |
Elements | |
Cells | 48 co, 24 gocco, 24 socco, 24 cotco |
Faces | 384 triangles, 288 squares, 96 hexagons, 144 octagons, 144 octagrams |
Edges | 576+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Cont |
Regiment | Afdec |
Conjugate | Gif citi |
Abstract & topological properties | |
Euler characteristic | 72 |
Orientable | Yes |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The small invertifrustary tetracontoctitrisicositetrachoron, or sif citi, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 small cubicuboctahedra, and 24 cuboctatruncated cuboctahedra. Two cuboctahedra, two great cubicuboctahedra, two small cubicuboctahedra, and four cuboctatruncated cuboctahedra join at each vertex.
It has the same cell counts as the great invertifrustary tetracontoctitrisicositetrachoron, but the great cubicuboctahedra and small cubicuboctahedra 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" (#641).
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