Metabigyrate rhombicosidodecahedron explained

Type:	Johnson
Faces:	4x2+3x4 triangles 2+2x2+6x4 squares 4x2+4 pentagons
Edges:	120
Vertices:	60
Dual:	-
Properties:	convex, canonical
Net:	Johnson solid 74 net.png

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)