| Triaugmented hexagonal prism | |
|---|---|
| | |
| Type | Johnson J56 – J57 – J58 |
| Faces | 12 triangles 3 squares 2 hexagons |
| Edges | 30 |
| Vertices | 15 |
| Vertex configuration | 3(34) 12(32.4.6) |
| Symmetry group | D3h |
| Properties | convex |
| Net | |
| | |
In geometry, the triaugmented hexagonal prism is one of the Johnson solids (J57). As the name suggests, it can be constructed by triply augmenting a hexagonal prism by attaching square pyramids (J1) to three of its nonadjacent equatorial faces.
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]