In geometry, the parabidiminished rhombicosidodecahedron is one of the

Johnson solid In geometry, a Johnson solid is a strictly convex polyhedron each face of which is a regular polygon. There is no requirement that isohedral, each face must be the same polygon, or that the same polygons join around each Vertex (geometry), ver ...

s (). It is also a canonical polyhedron. It can be constructed as a

rhombicosidodecahedron In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square (geometry), square face ...

with two opposing

pentagonal cupola In geometry, the pentagonal cupola is one of the Johnson solids (). It can be obtained as a slice of the rhombicosidodecahedron. The pentagonal cupola consists of 5 equilateral triangles, 5 squares, 1 pentagon, and 1 decagon. Formulae The fol ...

e removed. Related Johnson solids are the

diminished rhombicosidodecahedron In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola In geometry, the pentagonal cupola is one of the Johnson solids (). It can be ob ...

() where one cupola is removed, the metabidiminished rhombicosidodecahedron () where two non-opposing cupolae are removed, and the tridiminished rhombicosidodecahedron () where three cupolae are removed.

Example

External links

* Johnson solids {{Polyhedron-stub