Tridiminished rhombicosidodecahedron

Tridiminished rhombicosidodecahedron
Type Johnson
J82 - J83 - J84
Faces 2+3 triangles
3x3+6 squares
3x3 pentagons
3 decagons
Edges 75
Vertices 45
Vertex configuration 5x6(4.5.10)
3x3+6(3.4.5.4)
Symmetry group C3v
Dual polyhedron -
Properties convex
Net

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:

  1. J76: diminished rhombicosidodecahedron with one cupola is removed,
  2. J80: parabidiminished rhombicosidodecahedron with two opposing cupolae are removed, and
  3. J81: metabidiminished rhombicosidodecahedron with two non-opposing cupolae are removed.

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

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