Truncated dodecahedral prism

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

Truncated dodecahedral prism

Schlegel diagram
Decagonal prisms hidden
TypePrismatic uniform polychoron
Uniform index60
Schläfli symbolt0,1,3{3,5,2} or t{3,5}×{}
Coxeter-Dynkin
Cells34 total:
2 t0,1{5,3}
12 {}x{10}
20 {}x{3}
Faces154 total:
40 {3}
90 {4}
24 {10}
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-dodecahedral dyadic prism (Norman W. Johnson)
  • Tiddip (Jonathan Bowers: for truncated-dodecahedral prism)
  • Truncated-dodecahedral hyperprism
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See also

  • Truncated 120-cell,
  • 6. Convex uniform prismatic polychora - Model 60, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x o3x5x - tiddip".


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