Paper by Martin L. Demaine
- Devin J. Balkcom, Erik D. Demaine, Martin L. Demaine, John A. Ochsendorf, and Zhong You, “Folding Paper Shopping Bags”, in Origami4: Proceedings of the 4th International Meeting of Origami Science, Math, and Education (OSME 2006), Pasadena, California, September 8–10, 2006, pages 315–334, A K Peters.
One of the most ubiquitous examples of origami is the common paper shopping
bag. In a common model of paper folding, there are a finite number of
creases, between which the paper must stay rigid and flat, as if made of
plastic or metal plates connected by hinges. We show that (maybe
surprisingly), the paper shopping bag cannot be flattened under this model
using the usual pattern of creases. This raises the question of what foldings
are possible in this model? We introduce some techniques for foldability
analysis, and show that the bag may be flattened by adding new creases, or by
adding new material between creases.
- The paper is available in PostScript (9117k), gzipped PostScript (5816k), and PDF (374k).
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- Related papers:
- PaperBag_CGW2004 (Folding Paper Shopping Bags)
See also other papers by Martin Demaine.
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