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