Jigsaw puzzle design of pluripotent origami
Dieleman P, Vasmel N, Waitukaitis SR, van Hecke M. 2020. Jigsaw puzzle design of pluripotent origami. Nature Physics. 16(1), 63–68.
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Journal Article
| Published
| English
Author
Dieleman, Peter;
Vasmel, Niek;
Waitukaitis, Scott RISTA ;
van Hecke, Martin
Abstract
Origami is rapidly transforming the design of robots1,2, deployable structures3,4,5,6 and metamaterials7,8,9,10,11,12,13,14. However, as foldability requires a large number of complex compatibility conditions that are difficult to satisfy, the design of crease patterns is limited to heuristics and computer optimization. Here we introduce a systematic strategy that enables intuitive and effective design of complex crease patterns that are guaranteed to fold. First, we exploit symmetries to construct 140 distinct foldable motifs, and represent these as jigsaw puzzle pieces. We then show that when these pieces are fitted together they encode foldable crease patterns. This maps origami design to solving combinatorial problems, which allows us to systematically create, count and classify a vast number of crease patterns. We show that all of these crease patterns are pluripotent—capable of folding into multiple shapes—and solve exactly for the number of possible shapes for each pattern. Finally, we employ our framework to rationally design a crease pattern that folds into two independently defined target shapes, and fabricate such pluripotent origami. Our results provide physicists, mathematicians and engineers with a powerful new design strategy.
Publishing Year
Date Published
2020-01-01
Journal Title
Nature Physics
Volume
16
Issue
1
Page
63–68
ISSN
eISSN
IST-REx-ID
Cite this
Dieleman P, Vasmel N, Waitukaitis SR, van Hecke M. Jigsaw puzzle design of pluripotent origami. Nature Physics. 2020;16(1):63–68. doi:10.1038/s41567-019-0677-3
Dieleman, P., Vasmel, N., Waitukaitis, S. R., & van Hecke, M. (2020). Jigsaw puzzle design of pluripotent origami. Nature Physics. Springer Nature. https://doi.org/10.1038/s41567-019-0677-3
Dieleman, Peter, Niek Vasmel, Scott R Waitukaitis, and Martin van Hecke. “Jigsaw Puzzle Design of Pluripotent Origami.” Nature Physics. Springer Nature, 2020. https://doi.org/10.1038/s41567-019-0677-3.
P. Dieleman, N. Vasmel, S. R. Waitukaitis, and M. van Hecke, “Jigsaw puzzle design of pluripotent origami,” Nature Physics, vol. 16, no. 1. Springer Nature, pp. 63–68, 2020.
Dieleman P, Vasmel N, Waitukaitis SR, van Hecke M. 2020. Jigsaw puzzle design of pluripotent origami. Nature Physics. 16(1), 63–68.
Dieleman, Peter, et al. “Jigsaw Puzzle Design of Pluripotent Origami.” Nature Physics, vol. 16, no. 1, Springer Nature, 2020, pp. 63–68, doi:10.1038/s41567-019-0677-3.