Paper by Erik D. Demaine

Reference:

Erik D. Demaine, Martin L. Demaine, David A. Huffman, Thomas C. Hull, Duks Koschitz, and Tomohiro Tachi, “Zero-Area Reciprocal Diagram of Origami”, in Proceedings of the IASS Annual Symposium 2016, edited by K. Kawaguchi, M. Ohsaki, and T. Takeuchi, Tokyo, Japan, September 26–30, 2016.

BibTeX

@InProceedings{Reciprocal_IASS2016,
  AUTHOR        = {Erik D. Demaine and Martin L. Demaine and David A. Huffman and Thomas C. Hull and Duks Koschitz and Tomohiro Tachi},
  TITLE         = {Zero-Area Reciprocal Diagram of Origami},
  BOOKTITLE     = {Proceedings of the IASS Annual Symposium 2016},
  MONTH         = {September 26--30},
  YEAR          = 2016,
  ADDRESS       = {Tokyo, Japan},
  EDITOR        = {K. Kawaguchi and M. Ohsaki and T. Takeuchi},

  length        = {10 pages},
}

Abstract:

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.

Length:

The paper is 10 pages.

Availability:

The paper is available in PDF (7138k).

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