Tridiminished rhombicosidodecahedron

Updated on Dec 13, 2024

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Edges 75 Symmetry group C3v		Vertices 45

Type JohnsonJ82 - J83 - J84 Faces 2+3 triangles3x3+6 squares3x3 pentagons3 decagons Vertex configuration 5x6(4.5.10)3x3+6(3.4.5.4)

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 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.

Related Johnson solids are:

J₇₆: diminished rhombicosidodecahedron with one cupola removed,

J₈₀: parabidiminished rhombicosidodecahedron with two opposing cupolae removed, and

J₈₁: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed.

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