Rethinking Origami: A Generative Specification of Origami Patterns with Shape Grammars. (August 2021)

• Record Type: Journal Article
• Authors: Yu, Ying; Hong, Tzu-Chieh Kurt; Economou, Athanassios; Paulino, Glaucio H.
• Is Part Of: Computer aided design. Volume 137(2021)
• Publication Date: 2021-08
• Subjects: Origami -- Shape grammar -- Pattern Design; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2021.103029
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: As a ubiquitous paper folding art, origami has promising applications in science and engineering. Many software and parameterized methods have been proposed to draw, analyze and design origami patterns. Here we focus on the shape grammar formalism and the Shape Machine, a shape grammar interpreter that has managed to automate the seamless shape calculations that the shape grammar formalism advocates. Different from other origami pattern generation methods, shape grammars generate origami patterns through recursive applications of shape rewriting rules using lines and curves. Based on this concept, the transformations between some common origami patterns are reorganized following visual cues and reasoning. Four examples of generating origami pattern are presented to show the capability of Shape Machine in origami design, including construction, modification and programming of an origami pattern. The new origami designs inspired by this work prove that shape grammars and Shape Machine provide a perspective and modeling technique for creating origami tessellation patterns. Highlights: Rational method for generating origami patterns. Modeling technique for designing origami tessellations. Shape Machine, new shape grammar interpreter that automates shapes calculation to create new patterns. Origami pattern considered as a combination of different shapes.