Compound of five stellated truncated hexahedra

Compound of five stellated truncated hexahedraTypeUniform compoundIndexUC58Polyhedra5 stellated truncated hexahedraFaces40 triangles, 30 octagramsEdges180Vertices120Symmetry groupicosahedral (Ih)Subgroup restricting to one constituentpyritohedral (Th) This uniform polyhedron compound is a composition of 5 stellated truncated hexahedra, formed by star-truncating each of the cubes in the compound of 5 cubes.

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

(±(2−), ±, ±(2−)) (±φ, ±(φ−1−φ−1), ±(2φ−1−φ)) (±1, ±(φ−2+φ−1), ±(φ2−φ)) (±(1−), ±(−φ−2+), ±(φ2−)) (±(φ−φ), ±(−φ−1), ±(2φ−1−φ−1))

where φ = (1+)/2 is the golden ratio.

References .