Compound of twenty octahedra

Compound of twenty octahedraTypeUniform compoundIndexUC14Polyhedra20 octahedraFaces40+120 trianglesEdges240Vertices60Symmetry groupicosahedral (Ih)Subgroup restricting to one constituent6-fold improper rotation (S6)

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.

Related polyhedra

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.

Convex hull (Non-uniform Rhombicosidodecahedron) Great snub dodecicosidodecahedron Great dirhombicosidodecahedron Great disnub dirhombidodecahedron Compound of twenty octahedra Compound of twenty tetrahemihexahedra

See also Compound of three octahedra Compound of four octahedra Compound of five octahedra Compound of ten octahedra

References