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Trigyrate rhombicosidodecahedron - Wikipedia, the free encyclopedia

Trigyrate rhombicosidodecahedron

From Wikipedia, the free encyclopedia

Trigyrate rhombicosidodecahedron
Trigyrate rhombicosidodecahedron
Type Johnson
Faces 20 triangles
30 squares
12 pentagons
Edges 120
Vertices 60
Vertex configuration -
Symmetry group -
Dual polyhedron -
Properties convex

In geometry, the Trigyrate rhombicosidodecahedron is one of the Johnson solids (J75). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae rotated through 36 degrees. Related Johnson solids are the gyrate rhombicosidodecahedron (J72) where one cupola is rotated, the parabigyrate rhombicosidodecahedron (J73) where two opposing cupolae are rotated and the metabigyrate rhombicosidodecahedron (J74) where two non-opposing cupolae are rotated.

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

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