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This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by 60 degrees about a separate axis (that passes through the centres of two opposite octahedral faces).
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the permutations of
(±2, ±1, ±2)References
Compound of four octahedra Wikipedia(Text) CC BY-SA