Edges 90 Symmetry group C2v | Vertices 50 | |
 | ||
Type Johnson
J80 - J81 - J82 Faces 3x2+4 triangles
2+2+4x4 squares
3x2+4 pentagons
2 decagons Vertex configuration 5x4(4.5.10)
3x2+6x4(3.4.5.4) | ||
In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81).
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (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.
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.