Rhombicosidodecahedral prism

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Rhombicosidodecahedral prism

Schlegel diagram
One rhombicosidodecahedron and triangular prisms show
Type Prismatic uniform polychoron
Uniform index 61
Schläfli symbol t0,2,3{3,5,2} or rr{3,5}×{}
Coxeter-Dynkin
Cells 64 total:
2 rr{5,3}
12 {}x{5}
20 {}x{3}
30 {4,3}
Faces 244 total:40 {3}
180 {4}
24 {5}
Edges 300
Vertices 120
Vertex figure
Trapezoidal pyramid
Symmetry group [5,3,2], order 240
Properties convex
Net

In geometry, a rhombicosidodecahedral prism or small rhombicosidodecahedral 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

  • (small) rhombicosidodecahedral dyadic prism (Norman W. Johnson)
  • Sriddip (Jonathan Bowers: for small-rhombicosidodecahedral prism)
  • (small) rhombicosidodecahedral hyperprism

External links

  • 6. Convex uniform prismatic polychora - Model 61, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x x3o5x - sriddip".


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