Cuboctahedral prism
# Cuboctahedral prism

Cuboctahedral prism :

| Schlegel diagram One cuboctahedral cell shown ||
| - | - |
| Type | Prismatic uniform 4-polytope |
| Uniform index | 50 |
| Schläfli symbol | $t_{1,3}{3,4,2}$ or r{3,4}× $t_{0,2,3}{3,3,2}$ 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
* Rhombioctahedral prism
* Rhombioctahedral hyperprism
