3D Lattice Panels Based on the Concave Polyhedra of the Second Sort: Ideas for Architectural Ornaments

Abstract

Using the concave polyhedra of the second sort, we are creating spatial structures in the shape of lattice panels to be applied in architecture. The procedure is based on a rectangular (or, less often, a polar) array of identical representatives of the concave polyhedra that include: concave antiprisms, concave cupolae and concave pyramids of the second sort. The selected representative, as a unit cell, can be arrayed so to touch the adjacent cells by vertex, by edge or by face. Thereby, they are forming 3D lattice, similar to the 2D lattices patterns. We are using a single layer of these structures to form a shape most convenient for architectural usage, which is a shape of a panel. These 3D lattice panels are proposed to be used as brise-soleil, room dividers, fences, etc. The additional layer of visual design when using such a panels is accomplished with the shadows they cast, depending on the time and day of the year. 3D shape emphasizes the play of light and shadow, so these lattice panels can have a significant role as an element of decoration, i.e. architectural ornament.