| Gyrate rhombicosidodecahedron | |
|---|---|
| Type | Johnson J71 - J72 - J73 |
| Faces | 4x5 triangles 4x5+10 squares 2+2x5 pentagons |
| Edges | 120 |
| Vertices | 60 |
| Vertex configuration | 10(3.42.5) 4x5+3x10(3.4.5.4) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees. They have the same faces around each vertex, but vertex configurations along the rotation become a different order, 3.4.4.5.
Rhombicosidodecahedron |
Gyrate rhombicosidodecahedron |