Totimorphs

Morphable structures are often realized by using microscopic degrees of freedom to sculpt the free energy landscape of a material structure. Such structures can be driven by an external stimulus between different configurations that are the minima in the energy landscape. The ability to design such a free energy landscape is however limited by the constraints implied by the connectivity and geometry of the elastic structure. Here we explore a new class of pre-stressed materials that we call totimorphs, which are infinitely morphable as a result of the energy landscape being flat. We describe a mechanism by which a unit of zero stiffness structure can be assembled to create objects that can morph into multiple arbitrarily complex target shapes. We fabricate prototypes of the designed structures using additive manufacturing techniques where we observe the morphability manifest itself as soft-modes in the system. Our design strategy opens up new possibilities for fabricating shape morphing functional material structures.