Truncated cubic prism

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

Truncated cubic prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index52
Schläfli symbolt0,1,3{4,3,2} or t{4,3}×{}
Coxeter-Dynkin
Cells16 total:
2 3.8.8
8 3.4.4
6 4.4.8
Faces65 total:
16 {3}
36 {4}
12 {8}
Edges96
Vertices48
Vertex figure
Square pyramid
Symmetry group[4,3,2], order 96
Propertiesconvex

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.


Net

Alternative names

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

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