Compound of six square antiprisms
| Compound of six square antiprisms | |
|---|---|
 | |
| Type | Uniform compound |
| Index | UC43 |
| Polyhedra | 6 square antiprisms |
| Faces | 48 triangles, 12 squares |
| Edges | 96 |
| Vertices | 48 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 4-fold dihedral (D4) |
This uniform polyhedron compound is a symmetric arrangement of 6 square antiprisms, aligned in pairs with the three axes of 4-fold rotational symmetry of a cube. It results from composing the two enantiomers of the compound of 3 square antiprisms.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554.