Non-Euclidean origami

Physical review. E, vol. 102, pp. 031001

Abstract

Traditional origami starts from flat surfaces, leading to crease patterns consisting of Euclidean vertices. However, Euclidean vertices are limited in their folding motions, are degenerate, and suffer from misfolding. Here we show how non-Euclidean 4-vertices overcome these limitations by lifting this degeneracy, and that when the elasticity of the hinges is taken into account, non-Euclidean 4-vertices permit higher order multistability. We harness these advantages to design an origami inverter that does not suffer from misfolding and to physically realize a tristable vertex.

Authors 3

1. Scott Waitukaitis Aachen Huygens-Kamerlingh Onnes Laboratory

   Leiden University · Institute for Atomic and Molecular Physics

   Affiliation as printed

   Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands and AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands

2. Peter Dieleman Aachen Huygens-Kamerlingh Onnes Laboratory

   Leiden University · Institute for Atomic and Molecular Physics

   Affiliation as printed

   Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands and AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands

3. Martin van Hecke Aachen Huygens-Kamerlingh Onnes Laboratory

   Leiden University · Institute for Atomic and Molecular Physics

   Affiliation as printed

   Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands and AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands