Metabigyrate rhombicosidodecahedron

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.

References

External links

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