Truncated cubic prism
In geometry, a truncated cubic prism is a convex uniform polychoron (four-dimensional polytope).
| Truncated cubic prism | |
|---|---|
 Schlegel diagram | |
| Type | Prismatic uniform polychoron |
| Uniform index | 52 |
| Schläfli symbol | t0,1,3{4,3,2} or t{4,3}×{} |
| Coxeter-Dynkin |      |
| Cells | 16 total: 2  3.8.88  3.4.46  4.4.8 |
| Faces | 65 total: 16 {3} 36 {4} 12 {8} |
| Edges | 96 |
| Vertices | 48 |
| Vertex figure |  Square pyramid |
| Symmetry group | [4,3,2], order 96 |
| Properties | convex |
It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.
Alternative names
- Truncated-cubic hyperprism
- Truncated-cubic dyadic prism (Norman W. Johnson)
- Ticcup (Jonathan Bowers: for truncated-cube prism)
See also
External links
- 6. Convex uniform prismatic polychora - Model 52, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) o3x4x x - ticcup".
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