Compound of twelve pentagrammic antiprisms

Compound of twelve pentagrammic antiprisms
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, MR 0397554.

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