Rigid origami vertices: conditions and forcing sets

Authors

  • Zachary Abel Massachusetts Institute of Technology
  • Jason Cantarella University of Georgia
  • Erik D. Demaine Massachusetts Institute of Technology
  • David Eppstein University of California, Irvine
  • Thomas C. Hull Western New England University http://orcid.org/0000-0002-3215-9767
  • Jason S. Ku Massachusetts Institute of Technology
  • Robert J. Lang Lang Origami, CA
  • Tomohiro Tachi University of Tokyo

DOI:

https://doi.org/10.20382/jocg.v7i1a9

Abstract

We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly.  We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as in the unassigned case.  We also illustrate the utility of this result by applying it to the new concept of minimal forcing sets for rigid origami models, which are the smallest collection of creases that, when folded, will force all the other creases to fold in a prescribed way.

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Published

2016-04-26

Issue

Vol. 7 No. 1 (2016)

Section

Articles

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