Compound of ten octahedra

The compounds of ten octahedra UC15 and UC16 are two uniform polyhedron compounds.

They are composed of a symmetric arrangement of 10 octahedra, considered as triangular antiprisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.

The two compounds differ in the orientation of their octahedra: each compound may be transformed into the other by rotating each octahedron by 60 degrees.

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of where τ = (1 + √5)/2 is the golden ratio (sometimes written φ) and s is either +1 or −1.

This polyhedron-related article is a stub.