Cuboctahedral prism

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Cuboctahedral prism
Cuboctahedral prism.png
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 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 2.pngCDel node 1.png
Cells 2 (3.4.3.4)Cuboctahedron.png
8 (3.4.4)Triangular prism.png
6 (4.4.4)Hexahedron.png
Faces 16 {3}
12+24 {4}
Edges 60
Vertices 24
Vertex figure Cuboctahedral prism verf.png
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.

Cuboctahedral prism net.png
Net
Cuboctahedral hyperprism Schlegel.png
Transparent Schlegel diagram

Alternative names[]

  • Cuboctahedral dyadic prism Norman W. Johnson
  • Cope (: 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".


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