Snub dodecahedral prism

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

Snub dodecahedral prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index64
Schläfli symbolsr{3,5}×{}
Coxeter-Dynkin
Cells94 total:
2 3.3.3.3.5

80 3.4.4
12 4.4.5

Faces334 total:
160 {3}
150 {4}
24 {5}
Edges360
Vertices120
Vertex figure
irr. pentagonal pyramid
Symmetry group[(5,3)+,2], order 120
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, in this case a pair of snub dodecahedra.

Alternative names

  • Snub-icosidodecahedral dyadic prism (Norman W. Johnson)
  • Sniddip (Jonathan Bowers: for snub-dodecahedral prism)
  • Snub-icosidodecahedral hyperprism
  • Snub-dodecahedral prism
  • Snub-dodecahedral hyperprism

See also

  • Snub dodecahedral antiprism ht0,1,2,3{5,3,2}, or - A related nonuniform polychoron
  • 6. Convex uniform prismatic polychora - Model 64, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x s3s5s - sniddip".


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