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.

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