Gyrate rhombicosidodecahedron

Gyrate rhombicosidodecahedron
Type	Canonical polyhedron Johnson J71 – J72 – J73
Faces	20 triangles 30 squares 12 pentagons
Edges	120
Vertices	60
Vertex configuration	${\displaystyle {\begin{aligned}&10\times (3\times 4^{2}\times 5)+\\&4\times 5+3\times 10\times (3\times 4\times 5\times 4)\end{aligned}}}$
Symmetry group	${\displaystyle C_{5v}}$
Properties	convex, Rupert property
Net

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

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.^[1]