Prismatoicositetritetracontoctachoron
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| Prismatoicositetritetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Pic |
| Elements | |
| Cells | 48 quith, 24 querco, 96 trip |
| Faces | 384 triangles, 360 squares, 144 octagrams |
| Edges | 576 |
| Vertices | 144 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Spic |
| Regiment | Giddic |
| Conjugate | Picni |
| Abstract & topological properties | |
| Euler characteristic | 288 |
| Orientable | No |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Wild |
The prismatoicositetritetracontoctachoron, or pic, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra, 24 quasirhombicuboctahedra, and 96 triangular prisms. Eight quasitruncated hexahedra, four quasirhombicuboctahedra, and four triangular prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#545).
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