Truncated cubic prism

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Truncated cubic prism
Truncated cubic prism.png
Schlegel diagram
Type Prismatic uniform polychoron
Uniform index 52
Schläfli symbol t0,1,3{4,3,2} or t{4,3}×{}
Coxeter-Dynkin CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png
Cells 16 total:
2 Truncated hexahedron.png 3.8.8
8 Triangular prism.png 3.4.4
6 Octagonal prism.png 4.4.8
Faces 65 total:
16 {3}
36 {4}
12 {8}
Edges 96
Vertices 48
Vertex figure Truncated cubic prism verf.png
Square pyramid
Symmetry group [4,3,2], order 96
Properties convex

In geometry, a truncated cubic 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.

Truncated cubic prism net.png

Alternative names[edit]

  • Truncated-cubic hyperprism
  • Truncated-cubic dyadic prism (Norman W. Johnson)
  • Ticcup (Jonathan Bowers: for truncated-cube prism)

See also[edit]

External links[edit]

  • 6. Convex uniform prismatic polychora - Model 52, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) o3x4x x - ticcup".