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.

thumb|3D model of a metabigyrate rhombicosidodecahedron

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.

References

  • World of Polyhedra - metabigyrate rhombicosidodecahedron (interactive rotatable wireframe applet)