Triaugmented hexagonal prism

Triaugmented hexagonal prism
Type	Johnson J56 – J57 – J58
Faces	12 triangles 3 squares 2 hexagons
Edges	30
Vertices	15
Vertex configuration	3(3^4) 12(3^2.4.6)
Symmetry group	D3h
Dual polyhedron	alternate order-4 truncated hexagonal bipyramid
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]

See also

• Hexagonal prism

References

1. 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

• Weisstein, Eric W., "Triaugmented hexagonal prism" ("Johnson Solid") at MathWorld.