hexagonalprismatic

Hexagonalprismatic is an adjective used to describe objects or geometries that have the form of a hexagonal prism. A hexagonal prism is a polyhedron composed of two parallel hexagonal bases connected by six rectangular lateral faces. In the standard right hexagonal prism, the lateral faces are rectangles perpendicular to the bases; in oblique variants, the side faces are parallelograms and the connecting edges are slanted. The solid contains twelve vertices, eighteen edges, and eight faces (two hexagonal bases and six rectangular side faces).

If the bases are regular hexagons with side length s and the distance between bases is h, the prism’s volume is V = (3√3/2) s^2 h, and the surface area for a right hexagonal prism is SA = 3√3 s^2 + 6 s h. For oblique hexagonal prisms, the lateral face shapes remain parallelograms, and the overall surface area depends on the exact tilt of the sides, but the base areas and the edge count remain characteristic of a hexagonal prism.

In practice, hexagonalprismatic shapes appear in geometry education, computer-aided design and modeling, architecture, and various engineering applications where a hexagonal cross-section along a length is desired. They are also used in tiling concepts and in the design of certain mechanical components and optical elements where a hexagonal cross-section offers structural or functional advantages.

See also hexagonal prism, prism, polyhedron.