Multivalued Inverse Design: Multiple Surface Geometries from One Flat Sheet

Designing flat sheets that can be made to deform into 3D shapes is an area of intense research with applications in micromachines, soft robotics, and medical implants. Thus far, such were designed adopt a single target shape. Here, we show through anisotropic deformation applied inhomogenously throughout sheet, it possible design sheet multiple surface geometries upon different actuations. The key our approach development analytical method for solving this multi-valued inverse problem. Such open the door fabricating machines perform complex tasks cyclic transitions between shapes. As proof concept simple swimmer capable moving fluid at low Reynolds numbers.