Polyhedral compound
3D model of a compound of twenty octahedra
The compound of twenty octahedra is a uniform polyhedron compound . It's composed of 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 .
See also
References
Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society , 79 : 447–457, doi :10.1017/S0305004100052440 , MR 0397554 .