Paper by Martin L. Demaine

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.

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.

The paper is 10 pages.

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Last updated November 20, 2018 by Martin Demaine.