In geometry, the metabigyrate rhombicosidodecahedron is one of the Johnson solids (J74).

It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae rotated through 36 degrees.

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms).

They were named by Norman Johnson, who first listed these polyhedra in 1966.

[1] Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: This polyhedron-related article is a stub.