| Tridiminished rhombicosidodecahedron | |
|---|---|
 | |
| Type | Johnson J82 – J83 – J84 |
| Faces | 2+3 triangles 3×3+6 squares 3×3 pentagons 3 decagons |
| Edges | 75 |
| Vertices | 45 |
| Vertex configuration | 5×6(4.5.10) 3×3+6(3.4.5.4) |
| Symmetry group | C3v |
| Dual polyhedron | - |
| Properties | Convex |
| Net | |
 | |
In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae removed.
A Johnson solid is one of 92 strictly convex polyhedra that are 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]
Related Johnson solids are:
- J76: diminished rhombicosidodecahedron with one cupola removed,
- J80: parabidiminished rhombicosidodecahedron with two opposing cupolae removed,
- J81: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and
- J82: gyrate bidiminished rhombicosidodecahedron with two non-opposing cupolae removed and one cupola rotated 36 degrees.
