parabidiminished rhombicosidodecahedron

{{Short description|80th Johnson solid}}

{{Infobox polyhedron

|image=parabidiminished rhombicosidodecahedron.png

|type=Canonical polyhedron,
Johnson
{{math|bigyrate diminished rhombicosidodecahedron – J{{sub|80}} – metabidiminished rhombicosidodecahedron}}

|faces=10 triangles
2×10 squares
10 pentagons
2 decagons

|edges=90

|vertices=50

|symmetry={{math|D{{sub|5d}}}}

|vertex_config={{math|20(4.5.10)
10+20(3.4.5.4)}}

|dual=-

|properties=convex

|net=Johnson solid 80 net.png

}}

In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids ({{math|J{{sub|80}}}}). It is also a canonical polyhedron.

{{Johnson solid}}

It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae removed. Related Johnson solids are the diminished rhombicosidodecahedron ({{math|J{{sub|76}}}}) where one cupola is removed, the metabidiminished rhombicosidodecahedron ({{math|J{{sub|81}}}}) where two non-opposing cupolae are removed, and the tridiminished rhombicosidodecahedron ({{math|J{{sub|83}}}}) where three cupolae are removed.