| Trigyrate rhombicosidodecahedron | |
|---|---|
| Type | Johnson J74 - J75 - J76 |
| Faces | 2+2x3+2x6 triangles 4x3+3.6 squares 4x3 pentagons |
| Edges | 120 |
| Vertices | 60 |
| Vertex configuration | 5x6(3.42.5) 4x3+3x6(3.4.5.4) |
| Symmetry group | C3v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
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.