Compound of twelve pentagrammic antiprisms

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Short description: Polyhedral compound
Compound of twelve pentagrammic antiprisms
UC45-12 pentagrammic antiprisms.png
Type Uniform compound
Index UC45
Polyhedra 12 pentagrammic antiprisms
Faces 120 triangles, 24 pentagrams
Edges 240
Vertices 120
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent 5-fold dihedral (D5)

This uniform polyhedron compound is a symmetric arrangement of 12 pentagrammic antiprisms, aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron. It results from composing the two enantiomorphs of the compound of 6 pentagrammic antiprisms.

References

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