Planar Panels and Planar Supporting Beams in Architectural Structures

In this article, we investigate geometric properties and modeling capabilities of quad meshes with planar faces whose mesh polylines enjoy the additional property being contained in a single plane. This planarity is major benefit architectural design building construction: If structural element plane, it can be manufactured on ground without scaffolding put into place as whole. Further, plane serves part so-called support structure. We discuss under requirement that one half are (“P meshes”), also geometry where all (“PP meshes”). work space planes appropriate transformations space. incorporate further relevant for design, such near-rectangular panels repetitive nodes. provide insights, give explicit constructions, show an approach to both P PP meshes, particular, case nearly rectangular panels.