Compound of five small stellated dodecahedra

Compound of five small stellated dodecahedra
Compound of five small stellated dodecahedra
UC51-5 small stellated dodecahedra.png
Type Uniform compound
Index UC51
Polyhedra 5 small stellated dodecahedra
Faces 60 pentagrams
Edges 150
Vertices 60
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent pyritohedral (Th)

This uniform polyhedron compound is a composition of 5 small stellated dodecahedra, in the same arrangement as in the compound of 5 icosahedra.

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .