ORIGAMI TESSELATIONS

Abstract

Rigid Origami folding surfaces have very interesting qualities for Architecture and Engineering given their geometric, structural and elastic qualities. The ability to turn a flat element, isotropic, without any structural capacity, into a self-supporting element strictly through folds in the material opens the door to a multitude of uses. Besides that, the intrinsic geometry of the crease pattern may allow the surface to assume doubly curved forms while the flat element, before the folding, could never do it without the deformation of the material [01][02]. The main goal of this Ph.D. research is to reach a workflow that allows for the design and implementation of kinetically reconfigurable Origami Surfaces. In this paper, we will address mainly the parameterization of certain folded geometries, illustrating our method, simulating the folding of regular crease patterns through geometric operations on the smallest set of faces (local) that can be reproduced to simulate the whole group (global).