| Metabiaugmented hexagonal prism | |
|---|---|
| | |
| Type | Johnson J55 – J56 – J57 |
| Faces | 2×2+4 triangles 2+2 squares 2 hexagons |
| Edges | 26 |
| Vertices | 14 |
| Vertex configuration | 4(42.6) 2(34) 2×4(32.4.6) |
| Symmetry group | C2v |
| Properties | convex |
| Net | |
| | |
In geometry, the metabiaugmented hexagonal prism is one of the Johnson solids (J56). As the name suggests, it can be constructed by doubly augmenting a hexagonal prism by attaching square pyramids (J1) to two of its nonadjacent, nonparallel equatorial faces. Attaching the pyramids to opposite equatorial faces yields a parabiaugmented hexagonal prism. (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.)
A Johnson solid is one of 92 strictly convex polyhedra that are 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]