Tridiminished rhombicosidodecahedron

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

Tridiminished rhombicosidodecahedron
Type	Johnson J82 – J83 – J84
Faces	2+3 triangles 3×3+6 squares 3×3 pentagons 3 decagons
Edges	75
Vertices	45
Vertex configuration	5×6(4.5.10) 3×3+6(3.4.5.4)
Symmetry group	C3v
Dual polyhedron	-
Properties	Convex
Net

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:

• J₇₆: diminished rhombicosidodecahedron with one cupola removed,
• J₈₀: parabidiminished rhombicosidodecahedron with two opposing cupolae removed,
• J₈₁: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and
• J₈₂: gyrate bidiminished rhombicosidodecahedron with two non-opposing cupolae removed and one cupola rotated 36 degrees.