Cuboctahedral hyperprism

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Cuboctahedral hyperprism

Schlegel diagram
One cuboctahedral cell shown
Type Prismatic uniform polychoron
Cells 2 (3.4.3.4)
8 (3.4.4)
6 (4.4.4)
Faces 16 {3}
36 {4}
Edges 60
Vertices 24
Vertex configuration cuboid
Symmetry group [3,4]x[]
Schläfli symbol t1{3,4}x{}
Properties convex
Transparent Schlegel diagram
Transparent Schlegel diagram

In geometry, a cuboctahedral hyperprism is a convex uniform polychoron (four dimensional polytope). This polychoron has 16 polyhedral cells: 2 cuboctahedra connected by 8 triangular prisms, and 6 cubes.

It is one of 18 uniform hyperprisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.

Alternative names:

  • Cuboctahedral dyadic prism Norman W. Johnson
  • Cope (Jonathan Bowers: for cuboctahedral prism)
  • Rhombioctahedral prism
  • Rhombioctahedral hyperprism

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