Truncated dodecahedral prism

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Truncated dodecahedral prism
Truncated dodecahedral prism.png
Schlegel diagram
Decagonal prisms hidden
Type Prismatic uniform polychoron
Uniform index 60
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 t0,1{5,3}
12 {}x{10}
20 {}x{3}
Faces 154 total:
40 {3}
90 {4}
24 {10}
Edges 240
Vertices 120
Vertex figure Truncated dodecahedral prism verf.png
Isosceles-triangular pyramid
Symmetry group [5,3,2], order 240
Properties convex

In geometry, a truncated dodecahedral 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-dodecahedral dyadic prism (Norman W. Johnson)
  • Tiddip (Jonathan Bowers: for truncated-dodecahedral prism)
  • Truncated-dodecahedral hyperprism

See also[]

  • Truncated 120-cell, CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

External links[]

  • 6. Convex uniform prismatic polychora - Model 60, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x o3x5x - tiddip".


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