In geometry, the augmented hexagonal prism is one of the Johnson solids (J_54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J_1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism (J_55), a metabiaugmented hexagonal prism (J_56), or a triaugmented hexagonal prism (J_57).
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In geometry, the metabiaugmented hexagonal prism is one of the Johnson solids (J_56). As the name suggests, it can be constructed by doubly augmenting a hexagonal prism by attaching square pyramids (J_1) to two of its nonadjacent, nonparallel equatorial faces. Attaching the pyramids to opposite equatorial faces yields a parabiaugmented hexagonal prism. (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.