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 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.[1]
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.
External links
- ↑ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.