Gyrate bidiminished rhombicosidodecahedron

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Gyrate bidiminished rhombicosidodecahedron
Gyrate bidiminished rhombicosidodecahedron.png
Type Johnson
J81 - J82 - J83
Faces 10 triangles
20 squares
10 pentagons
2 decagons
Edges 90
Vertices 50
Vertex configuration 10.2(4.5.10)
5x2(3.42.5)
4+8.2(3.4.5.4)
Symmetry group Cs
Dual polyhedron -
Properties Convex
Net
Johnson solid 82 net.png

In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J82). It can be produced by removing two pentagonal cupolae and rotating a third pentagonal cupola through 36 degrees.

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]

External links[edit]


  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 .