| Paragyrate diminished rhombicosidodecahedron | |
|---|---|
 | |
| Type | Johnson J76 – J77 – J78 |
| Faces | 3×5 triangles 3×5+10 squares 1+2×5 pentagons 1 decagon |
| Edges | 105 |
| Vertices | 55 |
| Vertex configuration | 10(4.5.10) 10(3.42.5) 3x5+2.10(3.4.5.4) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the paragyrate diminished rhombicosidodecahedron is one of the Johnson solids (J77). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and the opposing pentagonal cupola removed.
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ). They were named by Norman Johnson , who first listed these polyhedra in 1966. [1]
