Edges 120 Symmetry group C2v | Vertices 60 | |
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Type Johnson
J73 - J74 - J75 Faces 4x2+3x4 triangles
2+2x2+6x4 squares
4x2+4 pentagons Vertex configuration 5.4(3.4.5)
4x2+8x4(3.4.5.4) | ||
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 have regular faces but are not uniform (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.
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: the gyrate rhombicosidodecahedron (J72) where only one cupola is rotated, the parabigyrate rhombicosidodecahedron (J73) where two opposing cupolae are rotated and the trigyrate rhombicosidodecahedron (J75) where three cupolae are rotated.