Edges 120 Symmetry group C5v | Vertices 60 | |
 | ||
Type Johnson
J71 - J72 - J73 Faces 4x5 triangles
4x5+10 squares
2+2x5 pentagons Vertex configuration 10(3.4.5)
4x5+3x10(3.4.5.4) | ||
In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72).
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.
Related polyhedron
It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees. They have the same faces around each vertex, but vertex configurations along the rotation become a different order, 3.4.4.5.
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: the parabigyrate rhombicosidodecahedron (J73) where two opposing cupolae are rotated, the metabigyrate rhombicosidodecahedron (J74) where two non-opposing cupolae are rotated and the trigyrate rhombicosidodecahedron (J75) where three cupolae are rotated.