title: Compound of five great cubicuboctahedra
text: # Compound of five great cubicuboctahedra
  
  Compound of five great cubicuboctahedra :
  
  | Type | Uniform compound |
  | - | - |
  | Index | $UC_{65}$ |
  | Polyhedra | 5 great cubicuboctahedra |
  | Faces | 40 triangles, 30 squares, 30 octagrams |
  | 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 great cubicuboctahedra, in the same arrangement as the compound of 5 truncated cubes.
  
  