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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