Compound of four octahedra


The compound of four octahedra is a uniform polyhedron compound. It's composed of 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.
Its dual is the compound of four cubes.

Cartesian coordinates

for the vertices of this compound are all the permutations of