Gyrate rhombicosidodecahedron

In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72). It is also a canonical polyhedron.

Gyrate rhombicosidodecahedron
TypeJohnson
J71J72J73
Faces20 triangles
30 squares
12 pentagons
Edges120
Vertices60
Vertex configuration10(3.42.5)
4x5+3x10(3.4.5.4)
Symmetry groupC5v
Dual polyhedron-
Propertiesconvex, canonical
Net

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (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.

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