  Soft electronics have recently gathered considerable interest thanks to their
bio-mechanical compatibility. An important feature of such deformable
conductors is their electrical response to strain. While development of
stretchable materials with high gauge factors has attracted considerable
attention, there is a growing need for stretchable conductors whose response to
deformation can be accurately engineered to provide arbitrary resistance-strain
relationships. The rare studies addressing this issue have focused on
deterministic geometries of single rigid materials, limiting the scope of such
strategies. Herein, we introduce the novel concept of periodic stretchable
patterns combining multiple conductive materials to produce tailored responses.
Using shortest-path algorithms, we establish a computationally efficient
selection method to obtain required resistance-strain relationship. Using this
algorithm, we identify and experimentally demonstrate constant
resistance-strain responses up to 50% elongation using a single micro-textured
material. Finally, we demonstrate counter-intuitive sinusoidal responses by
integrating three materials, with interesting applications in sensing and soft
robotics.
