Compound of octahedra

A compound of octahedra may be:
 * Compound of two octahedra
 * Compound of three octahedra
 * Also Compound of three triangular antiprisms
 * Compound of four octahedra
 * More generally, Compound of four octahedra with rotational freedom
 * Compound of five octahedra
 * Compound of eight octahedra with rotational freedom
 * Compound of ten octahedra
 * Compound of twenty octahedra
 * More generally, Compound of twenty octahedra with rotational freedom