title: Compound of five rhombicuboctahedra
text: # Compound of five rhombicuboctahedra
  
  Compound of five rhombicuboctahedra :
  
  | Type | Uniform compound |
  | - | - |
  | Index | $UC_{62}$ |
  | Polyhedra | 5 rhombicuboctahedra |
  | Faces | 40 triangles, 30+60 squares |
  | Edges | 240 |
  | Vertices | 120 |
  | Symmetry group | icosahedral $(I_h)$ |
  | Subgroup restricting to one constituent | pyritohedral $(T_h)$ |
  
  This uniform polyhedron compound is a composition of 5 rhombicuboctahedra, in the same vertex arrangement (i.e. sharing vertices with) the compound of 5 stellated truncated hexahedra.
  
  