Compound of four hexagonal prisms

Compound of four hexagonal prismsTypeUniform compoundIndexUC38Polyhedra4 hexagonal prismsFaces8 hexagons,24 squaresEdges72Vertices48Symmetry groupoctahedral (Oh)Subgroup restricting to one constituent3-fold antiprismatic (D3d) This uniform polyhedron compound is a symmetric arrangement of 4 hexagonal prisms, aligned with the axes of threefold rotational symmetry of an octahedron. It shares the same vertex arrangement as a nonuniform rhombicuboctahedron.

Cartesian coordinates Cartesian coordinates for the vertices of this compound are all the permutations of

(±1, ±(1−), ±(1+))

References .