Cuboctahedral prism

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.

Cuboctahedral prism

Schlegel diagram
One cuboctahedral cell shown
TypePrismatic uniform 4-polytope
Uniform index50
Schläfli symbolt1,3{3,4,2} or r{3,4}×{}
t0,2,3{3,3,2} or rr{3,3}×{}
Coxeter-Dynkin
Cells2 (3.4.3.4)
8 (3.4.4)
6 (4.4.4)
Faces16 {3}
12+24 {4}
Edges60
Vertices24
Vertex figure
Rectangular pyramid
Symmetry group[3,4,2], order 96
[3,3,2], order 48
Propertiesconvex

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
  • 6. Convex uniform prismatic polychora - Model 50, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x o3x4o - cope".


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