Compound of six square antiprisms

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.

Compound of six square antiprisms
TypeUniform compound
IndexUC43
Polyhedra6 square antiprisms
Faces48 triangles,
12 squares
Edges96
Vertices48
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent4-fold dihedral (D4)

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.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.