title: Compound of two snub dodecahedra
text: # Compound of two snub dodecahedra
  
  Compound of two snub dodecahedra :
  
  | Type | Uniform compound |
  | - | - |
  | Index | $UC_{69}$ |
  | Schläfli symbol | βr{5,3} |
  | Coxeter diagram | |
  | Polyhedra | 2 snub dodecahedra |
  | Faces | 40+120 triangles, 24 pentagons |
  | Edges | 300 |
  | Vertices | 120 |
  | Symmetry group | icosahedral $(I_h)$ |
  | Subgroup restricting to one constituent | chiral icosahedral (I) |
  
  This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.
  
  The vertex arrangement of this compound is shared by a convex nonuniform truncated icosidodecahedron, with rectangular faces, alongside irregular hexagons and decagons, each alternating two different edge lengths.
  
  Together with its convex hull, it represents the snub dodecahedron-first projection of the nonuniform snub dodecahedral antiprism.
  
  