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This uniform polyhedron compound is a chiral symmetric arrangement of 4 triangular prisms, aligned with the axes of three-fold rotational symmetry of an octahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the even permutations of
(±1, ±(1+√2), ±(1−√2))with an even number of minuses in the '±' choices, together with all the odd permutations with an odd number of minuses in the '±' choices.
References
Compound of four triangular prisms Wikipedia(Text) CC BY-SA