Truncated icosahedral prism

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

Truncated icosahedral prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index62
Schläfli symbolt0,1,3{3,5,2} or t{3,5}×{}
Coxeter-Dynkin
Cells34 total:

2 5.6.6
12 4.4.5
20 4.4.6

Faces154 total:
90 {4}
24 {5}
40 {6}
Edges240
Vertices120
Vertex figure
Isosceles-triangular pyramid
Symmetry group[5,3,2], order 240
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.

Alternative names

  • Truncated-icosahedral dyadic prism (Norman W. Johnson)
  • Tipe (Jonathan Bowers: for truncated-icosahedral prism)
  • Truncated-icosahedral hyperprism

See also

  • 6. Convex uniform prismatic polychora - Model 62, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x x3o5x - tipe".


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