Compound of twenty octahedra

This uniform polyhedron compound is a symmetric arrangement of 20 octahedra (considered as triangular antiprisms). It is a special case of the compound of 20 octahedra with rotational freedom, in which pairs of octahedral vertices coincide.

This compound shares its edge arrangement with the great dirhombicosidodecahedron, the great disnub dirhombidodecahedron, and the compound of twenty tetrahemihexahedra.

It may be constructed as the exclusive or of the two enantiomorphs of the great snub dodecicosidodecahedron.

...
Wikipedia