| Type: | Johnson |
| Faces: | 3x5 triangles 3x5+10 squares 1+2x5 pentagons 1 decagon |
| Edges: | 105 |
| Vertices: | 55 |
| Dual: | - |
| Properties: | convex |
| Net: | Johnson solid 77 net.png |
In geometry, the paragyrate diminished rhombicosidodecahedron is one of the Johnson solids . It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and the opposing pentagonal cupola removed.