Truncated icosahedral prism

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Truncated icosahedral prism
Truncated icosahedral prism.png
Schlegel diagram
Type Prismatic uniform polychoron
Uniform index 62
Schläfli symbol t0,1,3{3,5,2} or t{3,5}×{}
Coxeter-Dynkin CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png
Cells 34 total:

2 Truncated icosahedron.png 5.6.6
12 Pentagonal prism.png 4.4.5
20 Hexagonal prism.png 4.4.6

Faces 154 total:
90 {4}
24 {5}
40 {6}
Edges 240
Vertices 120
Vertex figure Truncated icosahedral prism verf.png
Isosceles-triangular pyramid
Symmetry group [5,3,2], order 240
Properties convex
Net

In geometry, a truncated icosahedral 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.

Alternative names[]

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

See also[]

  • Truncated 600-cell, CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 5.pngCDel node.png

External links[]

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


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