title: Rhombicosidodecahedral prism
text: # Rhombicosidodecahedral prism
  
  Rhombicosidodecahedral prism :
  
  | Schlegel diagram One rhombicosidodecahedron and triangular prisms show ||
  | - | - |
  | Type | Prismatic uniform polychoron |
  | Uniform index | 61 |
  | Schläfli symbol | $t_{0,2,3}{3,5,2}$ or rr{3,5}× |
  | Coxeter-Dynkin | |
  | Cells | 64 total: 2 rr{5,3} 12x{5} 20x{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 |
  
  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
  