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).

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.[1]

It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae 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.

  1. Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
This article is issued from Wikipedia - version of the 2/14/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.