Great invertifrustary tetracontoctitetrisicositetrachoron
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Great invertifrustary tetracontoctitetrisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gifcuti |
Elements | |
Cells | 48 co, 24 querco, 24 gocco, 24 sroh, 24 cotco |
Faces | 384 triangles, 576 squares, 96 hexagons, 144 octagons, 144 octagrams |
Edges | 576+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Cont |
Regiment | Afdec |
Conjugate | Sirfcuti |
Abstract & topological properties | |
Euler characteristic | 336 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The great invertifrustary tetracontoctitetrisicositetrachoron, or gifcuti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 quasirhombicuboctahedra, 24 great cubicuboctahedra, 24 small rhombihexahedra, and 24 cuboctatruncated cuboctahedra. Two cuboctahedra, two quasirhombicuboctahedra, two great cubicuboctahedra, two small rhombihexahedra, and four cuboctatruncated cuboctahedra join at each vertex.
It has the same cell counts as the small invertifrustary tetracontoctitetrisicositetrachoron, but the quasirhombicuboctahedra, great 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" (#643).
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