| Snub cubic prism | |
|---|---|
 Schlegel diagram | |
| Type | Prismatic uniform polychoron |
| Uniform index | 56 |
| Schläfli symbol | sr{4,3}×{} |
| Coxeter-Dynkin |     
|
| Cells | 40 total: |
| Faces | 136 total: 64 {3} 72 {4} |
| Edges | 144 |
| Vertices | 48 |
| Vertex figure |  irr. pentagonal pyramid |
| Symmetry group | [(4,3)+,2], order 48 |
| Properties | convex |
In geometry, a snub cubic prism or snub cuboctahedral prism is a convex uniform polychoron (four-dimensional polytope).
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.
See also edit
- Snub cubic antiprism s{4,3,2} - A related nonuniform polychoron
Alternative names edit
- Snub-cuboctahedral dyadic prism (Norman W. Johnson)
- Sniccup (Jonathan Bowers: for snub-cubic prism)
- Snub-cuboctahedral hyperprism
- Snub-cubic hyperprism
References edit
External links edit
- 6. Convex uniform prismatic polychora - Model 56, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) s3s4s x - sniccup".
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