Compound of six square antiprisms

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 (O_h)

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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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 (O_h)
Subgroup restricting to one constituent	4-fold dihedral (D₄)