| Type: | Johnson |
| Faces: | 3+6×2 triangles 3+11×2 squares 3+4×2 pentagons 1 decagon |
| Edges: | 105 |
| Vertices: | 55 |
| Dual: | - |
| Properties: | convex |
| Net: | Johnson solid 78 net.png |
In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids . It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent.)