Paper by Erik D. Demaine

Jason S. Ku and Erik D. Demaine, “Folding Flat Crease Patterns With Thick Materials”, Journal of Mechanisms and Robotics, volume 8, number 3, June 2016, pages 031003-1–6.

Modeling folding surfaces with nonzero thickness is of practical interest for mechanical engineering. There are many existing approaches that account for material thickness in folding applications. We propose a new systematic and broadly applicable algorithm to transform certain flat-foldable crease patterns into new crease patterns with similar folded structure but with a facet-separated folded state. We provide conditions on input crease patterns for the algorithm to produce a thickened crease pattern avoiding local self-intersection, and provide bounds for the maximum thickness that the algorithm can produce for a given input. We demonstrate these results in parameterized numerical simulations and physical models.

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Last updated March 9, 2018 by Erik Demaine.