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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