Gyrate bidiminished rhombicosidodecahedron
| Gyrate bidiminished rhombicosidodecahedron | |
|---|---|
 | |
| Type |
Johnson J81 - J82 - J83 |
| Faces |
10 triangles 20 squares 10 pentagons 2 decagons |
| Edges | 90 |
| Vertices | 50 |
| Vertex configuration |
10.2(4.5.10) 5x2(3.42.5) 4+8.2(3.4.5.4) |
| Symmetry group | Cs |
| Dual polyhedron | - |
| Properties | Convex |
| Net | |
 | |
In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J82). It can be produced by removing two pentagonal cupolae and rotating one of them through 36 degrees.
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]
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.