Multiperiodic responses and memory effects in frustrated sheets

Crumpled sheets and amorphous media exhibit memory effects and emergent computing capabilities but are difficult to control due to their highly disordered and uncontrolled geometry. Here we introduce an experimental platform that combines the geometric control of origami with the multistability of frustrated sheets, which allows to precisely and reproducibly couple and program multiple bistable hysteretic elements. We demonstrate that the geometry of the frustrated sheets controls the switching thresholds while the relative positions of the bistable elements set their interactions, giving rise to pathways (e.g., subharmonic orbits) inaccessible to systems of independent hysterons. Our work opens a new way for metamaterials with path-dependent responses and memory effects.