| Metabidiminished rhombicosidodecahedron | |
|---|---|
| Type | Johnson J80 - J81 - J82 |
| Faces | 3x2+4 triangles 2+2+4x4 squares 3x2+4 pentagons 2 decagons |
| Edges | 90 |
| Vertices | 50 |
| Vertex configuration | 5x4(4.5.10) 3x2+6x4(3.4.5.4) |
| Symmetry group | C2v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81). It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae removed. Related Johnson solids are the diminished rhombicosidodecahedron (J76) where one cupola is removed, the parabidiminished rhombicosidodecahedron (J80) where two opposing cupolae are removed, the gyrate bidiminished rhombicosidodecahedron (J82) where two non-opposing cupolae are removed and a third is rotated 36 degrees, and the tridiminished rhombicosidodecahedron (J83) where three cupolae are removed.
The 92 Johnson solids were named and described by Norman Johnson in 1966.