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.
Folding Flat Crease Patterns With Thick Materials
Manuscript received June 27, 2015; final manuscript received October 8, 2015; published online March 7, 2016. Assoc. Editor: Larry L. Howell.
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Ku, J. S., and Demaine, E. D. (March 7, 2016). "Folding Flat Crease Patterns With Thick Materials." ASME. J. Mechanisms Robotics. June 2016; 8(3): 031003. https://doi.org/10.1115/1.4031954
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