title: Icosidodecahedral prism
text: # Icosidodecahedral prism
  
  Icosidodecahedral prism :
  
  | Schlegel diagram Only one icosidodecahedron shown ||
  | - | - |
  | Type | Prismatic uniform polychoron |
  | Uniform index | 58 |
  | Schläfli symbol | $t_{1,3}{3,5,2}$ or r{3,5}× |
  | Coxeter-Dynkin | |
  | Cells | 34 total: 2 t1{5,3} 20x{3} 12x{5} |
  | Faces | 124 total: 40 {3} 60 {4} 24 {5} |
  | Edges | 150 |
  | Vertices | 60 |
  | Vertex figure | Rectangular pyramid |
  | Dual polytope | triacontahedron bipyramid |
  | Symmetry group | [5,3,2], order 240 |
  | Properties | convex |
  
  In geometry, an icosidodecahedral 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 parallel Platonic solids or Archimedean solids.
  
  ## Alternative names
  
  * Icosidodecahedral dyadic prism (Norman W. Johnson)
  * Iddip (Jonathan Bowers: for icosidodecahedral prism)
  * Icosidodecahedral hyperprism
  