Parabiaugmented hexagonal prism

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.)

Parabiaugmented hexagonal prism
Type	Johnson J54 – J55 – J56
Faces	2x4 triangles 4 squares 2 hexagons
Edges	26
Vertices	14
Vertex configuration	4(42.6) 2(34) 8(32.4.6)
Symmetry group	D2h
Dual polyhedron	parabilaterotruncated 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]