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Related Experiment Video

Updated: Jun 26, 2026

Virtual Hand with Ambiguous Movement between the Self and Other Origin: Sense of Ownership and 'Other-Produced' Agency
08:01

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Published on: October 28, 2020

Self-organized origami.

L Mahadevan1, S Rica

  • 1Division of Engineering and Applied Sciences and Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA. lm@deas.harvard.edu

Science (New York, N.Y.)
|March 19, 2005
PubMed
Summary
This summary is machine-generated.

Origami patterns, like those in nature, can form through self-organization. Biaxial compression of thin films spontaneously generates Miura-ori patterns, explained by a simple theory.

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Area of Science:

  • Physics
  • Materials Science
  • Biology

Background:

  • Origami typically requires sequential folding and external intervention.
  • Natural structures like insect wings and leaves exhibit complex folding patterns.

Purpose of the Study:

  • To investigate the possibility of origami patterns arising from self-organization.
  • To identify the physical mechanisms behind naturally occurring Miura-ori folding patterns.

Main Methods:

  • Examined self-organization principles in origami.
  • Analyzed the spontaneous generation of Miura-ori patterns in thin films under biaxial compression.
  • Developed a theoretical explanation for pattern formation.

Main Results:

  • Confirmed that origami can arise through self-organization.
  • Identified biaxial compression (due to differential growth, shrinkage, desiccation, or thermal expansion) as a trigger for spontaneous Miura-ori pattern formation in elastically supported thin films.
  • Provided a simple theoretical framework explaining the phenomenon.

Conclusions:

  • Self-organization is a viable mechanism for generating complex origami patterns found in nature.
  • The Miura-ori pattern can spontaneously emerge from physical processes acting on thin films.
  • This finding offers insights into the development of biological structures and novel material design.