| Metabidiminished icosahedron | |
|---|---|
| Type | Johnson J61 - J62 - J63 |
| Faces | 3x2+4 triangles 2 pentagons |
| Edges | 20 |
| Vertices | 10 |
| Vertex configuration | 2(3.52) 2+4(33.5) 2(35) |
| Symmetry group | C2v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the metabidiminished icosahedron is one of the Johnson solids (J62). The name refers to one way of constructing it, by removing two pentagonal pyramids from a regular icosahedron, replacing two sets of five triangular faces of the icosahedron with two adjacent pentagonal faces. If two pentagonal pyramids are removed to form nonadjacent pentagonal faces, the result is instead the pentagonal antiprism.
With the other 92 Johnson solids, the metabidiminished icosahedron was named and described by Norman Johnson in 1966.