Metagyrate diminished rhombicosidodecahedron
In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (J78). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent.)
| Metagyrate diminished rhombicosidodecahedron | |
|---|---|
 | |
| Type | Johnson J77 - J78 - J79 |
| Faces | 3+6x2 triangles 3+11x2 squares 3+4x2 pentagons 1 decagon |
| Edges | 105 |
| Vertices | 55 |
| Vertex configuration | 5x2(4.5.10) 5x2(3.42.5) 3+16x2(3.4.5.4) |
| Symmetry group | Cs |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (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.
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