Cuboctahedral prism
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| Cuboctahedral prism | |
|---|---|
 Schlegel diagram One cuboctahedral cell shown | |
| Type | Prismatic uniform polychoron |
| Uniform index | 50 |
| Schläfli symbol | t1,3{3,4,2} or r{3,4}×{} t0,2,3{3,3,2} or rr{3,3}×{} |
| Coxeter-Dynkin |      |
| Cells | 2 (3.4.3.4) 8 (3.4.4)  6 (4.4.4)  |
| Faces | 16 {3} 12+24 {4} |
| Edges | 60 |
| Vertices | 24 |
| Vertex figure |  Rectangular pyramid |
| Symmetry group | [3,4,2], order 96 [3,3,2], order 48 |
| Properties | convex |
Transparent Schlegel diagram
In geometry, a cuboctahedral prism is a convex uniform polychoron (four dimensional polytope). This polychoron has 16 polyhedral cells: 2 cuboctahedra connected by 8 triangular prisms, and 6 cubes.
It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.
Alternative names:
- Cuboctahedral dyadic prism Norman W. Johnson
- Cope (Jonathan Bowers: for cuboctahedral prism)
- Rhombioctahedral prism
- Rhombioctahedral hyperprism
External links
- 6. Convex uniform prismatic polychora - Model 50, George Olshevsky.
- Richard Klitzing, 4D uniform polytopes (polychora), x o3x4o - cope
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