title: Origami multistability: from single vertices to metasheets.
abstract: We show that the simplest building blocks of origami-based materials-rigid, degree-four vertices-are generically multistable. The existence of two distinct branches of folding motion emerging from the flat state suggests at least bistability, but we show how nonlinearities in the folding motions allow generic vertex geometries to have as many as five stable states. In special geometries with collinear folds and symmetry, more branches emerge leading to as many as six stable states. Tuning the fold energy parameters, we show how monostability is also possible. Finally, we show how to program the stability features of a single vertex into a periodic fold tessellation. The resulting metasheets provide a previously unanticipated functionality-tunable and switchable shape and size via multistability.
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Leiden University, P.O. Box 9504, 2300 RA Leiden, Netherlands.
authors.forename: Scott
authors.initials: S
authors.lastname: Waitukaitis
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Leiden University, P.O. Box 9504, 2300 RA Leiden, Netherlands and École Normale Supérieure de Lyon, Université Claude Bernard Lyon 1, BP 7000, 69342 Lyon Cedex 07, France.
authors.forename: Rémi
authors.initials: R
authors.lastname: Menaut
authors.affiliation: Instituut-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, 2333 CA Leiden, Netherlands.
authors.forename: Bryan Gin-ge
authors.initials: BG
authors.lastname: Chen
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Leiden University, P.O. Box 9504, 2300 RA Leiden, Netherlands.
authors.forename: Martin
authors.initials: M
authors.lastname: van Hecke