Great antifrustary tetracontoctiprismatotetracontoctachoron
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| Great antifrustary tetracontoctiprismatotetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gafcappic |
| Elements | |
| Cells | 48 co, 48 sirco, 96 hip |
| Faces | 384 triangles, 864 squares, 96 hexagons |
| Edges | 576+576 |
| Vertices | 288 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Cont |
| Regiment | Afdec |
| Conjugate | Safcappic |
| Abstract & topological properties | |
| Euler characteristic | 288 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Wild |
The great antifrustary tetracontoctiprismatotetracontoctachoron, or gafcappic, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, four small rhombicuboctahedra, and four hexagonal prisms join at each vertex.
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" (#627).
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