Self-Organized Origami

Author:

Mahadevan L.12,Rica S.12

Affiliation:

1. Division of Engineering and Applied Sciences and Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA.

2. Departamento de Fisica, Universidad de Chile, Blanco Encalada 2008, Santiago, Chile.

Abstract

In origami, form follows the sequential spatial organization of folds. This requires continuous intervention and raises a natural question: Can origami arise through self-organization? We answer this affirmatively by examining the possible physical origin for the Miura-ori leaf-folding patterns that arise naturally in insect wings, leaves, and other laminae-like organelles. In particular, we point out examples where biaxial compression of an elastically supported thin film, such as that due to differential growth, shrinkage, desiccation, or thermal expansion, spontaneously generates these patterns, and we provide a simple theoretical explanation for their occurrence.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference9 articles.

1. K. Miura, Proceedings of the 31st Congress of the International Astronautical Federation, IAF-80-A 31, (American Institute for Aeronautics and Astronautics, New York, 1980), pp. 1–10.

2. H. Kobayashi, B. Kresling, J. Vincent, Proc. R. Soc. London Ser. B.265, 147 (1998).

3. F. Haas, R. W. Wooton, Proc. R. Soc. London Ser. B.263, 1651 (1996).

4. B. Kresling, Biomimetics3, 105 (1991).

5. Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer

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