Diminished rhombicosidodecahedron | |
---|---|
Type |
Johnson J75 - J76 - J77 |
Faces | 3x5 triangles 3x5+10 squares 1+2x5 pentagons 1 decagon |
Edges | 105 |
Vertices | 55 |
Vertex configuration | 10(4.5.10) 3x5+3x10(3.4.5.4) |
Symmetry group | C5v |
Dual polyhedron | - |
Properties | convex |
Net | |
In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (J76). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola 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: