Tridiminished rhombicosidodecahedron
From Wikipedia, the free encyclopedia
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.