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".