Tridiminished rhombicosidodecahedron

Tridiminished rhombicosidodecahedron
TypeJohnson
J82J83J84
Faces2+3 triangles
3×3+6 squares
3×3 pentagons
3 decagons
Edges75
Vertices45
Vertex configuration5×6(4.5.10)
3×3+6(3.4.5.4)
Symmetry groupC3v
Dual polyhedron-
PropertiesConvex
Net

In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae removed.

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (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]

Related Johnson solids are:

  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.