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Triaugmented hexagonal prism 
Summary
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.
| 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 |
| Dual polyhedron | alternate order-4 truncated hexagonal bipyramid |
| 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]
See also edit
References edit
- ^ 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.
External links edit
- Weisstein, Eric W., "Triaugmented hexagonal prism" ("Johnson Solid") at MathWorld.