| Parabiaugmented hexagonal prism | |
|---|---|
 | |
| Type | Johnson J54 – J55 – J56 |
| Faces | 2×4 triangles 4 squares 2 hexagons |
| Edges | 26 |
| Vertices | 14 |
| Vertex configuration | 4(42.6) 2(34) 8(32.4.6) |
| Symmetry group | D2h |
| Properties | convex |
| Net | |
 | |
In geometry, the parabiaugmented hexagonal prism is one of the Johnson solids (J55). As the name suggests, it can be constructed by doubly augmenting a hexagonal prism by attaching square pyramids (J1) to two of its nonadjacent, parallel (opposite) equatorial faces. Attaching the pyramids to nonadjacent, nonparallel equatorial faces yields a metabiaugmented hexagonal prism (J56). (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]
