Compound of four triangular prisms

Compound of four triangular prismsTypeUniform compoundIndexUC30Polyhedra4 triangular prismsFaces8 triangles,12 squaresEdges36Vertices24Symmetry groupchiral octahedral (O)Subgroup restricting to one constituent3-fold dihedral (D3) 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+), ±(1−))

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 .