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Metabidiminished rhombicosidodecahedron

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Metabidiminished rhombicosidodecahedron
Metabidiminished rhombicosidodecahedron
Type Johnson
Faces 10 triangles
20 squares
10 pentagons
2 decagons
Edges 90
Vertices 50
Vertex configuration
Symmetry group
Dual polyhedron
Properties convex

In geometry, the Metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81). It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupola 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.

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