TY - JOUR
T1 - Rethinking Origami
T2 - A Generative Specification of Origami Patterns with Shape Grammars
AU - Yu, Ying
AU - Hong, Tzu Chieh Kurt
AU - Economou, Athanassios
AU - Paulino, Glaucio H.
N1 - Funding Information:
G.H.P. and Y.Y. acknowledge the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology.
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/8
Y1 - 2021/8
N2 - 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.
AB - 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.
KW - Origami
KW - Pattern Design
KW - Shape grammar
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U2 - 10.1016/j.cad.2021.103029
DO - 10.1016/j.cad.2021.103029
M3 - Article
AN - SCOPUS:85105696569
SN - 0010-4485
VL - 137
JO - CAD Computer Aided Design
JF - CAD Computer Aided Design
M1 - 103029
ER -