Polar facetoprismatotetracontoctachoron
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| Polar facetoprismatotetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Lifpic |
| Elements | |
| Cells | 48 socco, 192 trip |
| Faces | 384 triangles, 432 squares, 144 octagons |
| Edges | 576 |
| Vertices | 144 |
| Edge figure | trip 4 trip 4 trip 3 socco 8 socco 4 socco 8 socco 3 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1728 |
| Level of complexity | 19 |
| Related polytopes | |
| Army | Spic |
| Regiment | Spic |
| Conjugate | Ofpic |
| Abstract & topological properties | |
| Euler characteristic | 288 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Wild |
The polar facetoprismatotetracontoctachoron, or lifpic, is a nonconvex uniform polychoron that consists of 48 small cubicuboctahedra and 192 triangular prisms. Eight small cubicuboctahedra and eight triangular prisms join at each vertex.
It also has octahedra plus their central squares as pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#518).
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