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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century

IASS Symposium 2016

SESSION: Origami

Zero-Area Reciprocal Diagram of Origami

< Table of Contents for Origami
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Origami
  • Pages: 10
  • Title: Zero-Area Reciprocal Diagram of Origami
  • Author(s): Erik Demaine, Martin Demaine, David Huffman, Thomas Hull, Duks Koschitz, Tomohiro Tachi
  • Keywords: morphology, origami, reciprocal diagram, first-order flexibility, second-order flexibility
We propose zero area reciprocal diagram as a graphical tool for the design of rigid foldable mechanisms. First, we interpret the meaning of zero-area reciprocal diagram as the second order approximation of rigid foldability of origami crease pattern. We further show the equivalence to rigid foldability for special cases of single vertex origami and an origami pattern with flat foldable degree-4 vertices. We also show design examples with approximated rigid folding, which has a potential engineering applications.

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