Tridiminished rhombicosidodecahedron

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Tridiminished rhombicosidodecahedron
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 -
Properties convex

In geometry, the Tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupola removed. Related Johnson solids are the diminished rhombicosidodecahedron (J76) where one cupola is removed, the parabidiminished rhombicosidodecahedron (J80) where two opposing cupolae are removed, and the metabidiminished rhombicosidodecahedron (J81) where two non-opposing cupolae are removed.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

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