In geometry, the metabigyrate rhombicosidodecahedron is one of the Johnson solids (). It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae rotated through 36 degrees. It is also a canonical polyhedron. Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: The gyrate rhombicosidodecahedron () where only one cupola is rotated; The parabigyrate rhombicosidodecahedron () where two opposing cupolae are rotated; And the trigyrate rhombicosidodecahedron () where three cupolae are rotated. External links World of Polyhedra - metabigyrate rhombicosidodecahedron (interactive rotatable wireframe applet) Johnson solids