Gyrate rhombicosidodecahedron

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Gyrate rhombicosidodecahedron
Gyrate rhombicosidodecahedron
Type Johnson
J71 - J72 - J73
Faces 4.5 triangles
4.5+10 squares
2+2.5 pentagons
Edges 120
Vertices 60
Vertex configuration 10(3.42.5)
4.5+3.10(3.4.5.4)
Symmetry group C5v
Dual -
Properties convex

In geometry, the Gyrate rhombicosidodecahedron is one of the Johnson solids (J72). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

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