Editing Augmented hexagonal prism (section)

== Construction ==
The augmented hexagonal prism is constructed by attaching one [[equilateral square pyramid]] onto the square face of a [[hexagonal prism]], a process known as [[Augmentation (geometry)|augmentation]].{{r|rajwade}} This construction involves the removal of the prism square face and replacing it with the square pyramid, so that there are eleven faces: four [[equilateral triangle]]s, five [[square (geometry)|square]]s, and two regular [[hexagon]]s.{{r|berman}} A convex polyhedron in which all of the faces are regular is a Johnson solid, and the augmented hexagonal prism is among them, enumerated as <math> J_{54} </math>.{{r|francis}} Relatedly, two or three equilateral square pyramids attaching onto more square faces of the prism give more different Johnson solids; these are the [[parabiaugmented hexagonal prism]] <math> J_{55} </math>, the [[metabiaugmented hexagonal prism]] <math> J_{56} </math>, and the [[triaugmented hexagonal prism]] <math> J_{57} </math>.{{r|rajwade}}