Parabidiminished rhombicosidodecahedron

Parabidiminished rhombicosidodecahedron
Type Johnson
J79 - J80 - J81
Faces 10 triangles
2x10 squares
10 pentagons
2 decagons
Edges 90
Vertices 50
Vertex configuration 20(4.5.10)
10+20(3.4.5.4)
Symmetry group D5d
Dual polyhedron -
Properties convex
Net

In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (J80). It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupola removed. Related Johnson solids are the diminished rhombicosidodecahedron (J76) where one cupola is removed, the metabidiminished rhombicosidodecahedron (J81) where two non-opposing cupolae are removed 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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