Snub cubic prism

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Snub cubic prism
Snub cubic prism.png
Schlegel diagram
Type Prismatic uniform polychoron
Uniform index 56
Schläfli symbol sr{4,3}×{}
Coxeter-Dynkin CDel node h.pngCDel 3.pngCDel node h.pngCDel 4.pngCDel node h.pngCDel 2.pngCDel node 1.png
Cells 40 total:

2 Snub hexahedron.png 4.3.3.3.3
32 Triangular prism.png 3.4.4
6 Hexahedron.png 4.4.4

Faces 136 total:
64 {3}
72 {4}
Edges 144
Vertices 48
Vertex figure Snub cubic prism verf.png
irr. pentagonal pyramid
Symmetry group [(4,3)+,2], order 48
Properties convex

In geometry, a snub cubic prism or snub cuboctahedral prism is a convex uniform polychoron (four-dimensional polytope).

It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.

See also[]

  • Snub cubic antiprism s{4,3,2} - A related nonuniform polychoron

Alternative names[]

  • Snub-cuboctahedral dyadic prism (Norman W. Johnson)
  • Sniccup (Jonathan Bowers: for snub-cubic prism)
  • Snub-cuboctahedral hyperprism
  • Snub-cubic hyperprism

External links[]

  • 6. Convex uniform prismatic polychora - Model 56, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) s3s4s x - sniccup".


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