Cuboctahedral prism
Cuboctahedral prism | |
---|---|
Schlegel diagram One cuboctahedral cell shown | |
Type | Prismatic uniform 4-polytope |
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 |
In geometry, a cuboctahedral prism is a convex uniform 4-polytope. This 4-polytope 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.
Net |
Transparent Schlegel diagram |
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.
- Klitzing, Richard. "4D uniform polytopes (polychora) x o3x4o - cope".
This article is issued from Wikipedia - version of the 8/2/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.