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

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


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