Flexible electronics is an interdisciplinary research area that combines a variety of research fields, such as chemistry, physics, material science, electronic and electrical engineering, mechanical engineering, computing science, and application-related fields such as biomedical engineering. [1] The outcomes are compliant devices that can maintain mechanical integrity and electrical functionality while they are lightweight and conformable over uneven surfaces. [2,3] Maintaining the mechanical and electrical integrity of the device during the deformation is the main challenge that needs to be addressed. [2] In response to the challenges, the development of novel flexible materials and special mechanical designs are key remedies in designing the substrates and active components used in flexible electronics. There are commonly used flexible materials as substrate and conductive layers: either organic [4,5] (e.g., small molecules, polymers) or inorganic [6,7] (e.g., metal nanowires, graphene, carbon nanotube). Likewise, different strategies in the structural design of stretchable systems are commonly used, such as in-plane/out-of-plane wavy structures, origami and kirigami structures as well as the islandbridge approach where rigid functional units are miniaturized and linked together by deformable interconnections. [8][9][10] Among various kinds of applications, healthcare devices, including skin patches, smart clothing, and other devices that interface with the skin or other tissues are increasing their importance in remote patient monitoring and treatment. [11] Learning from nature provides a tremendous number of lessons for scientists to develop new materials and designs. [12] Therefore, bioinspired materials with special functionalities have gained a lot of attention in engineering research. Scientists are inspired by the unique microstructures of these functional biological materials that can offer new features for various applications. [13,14] Among the number of biostructure patterns, fractal-like structures are available in nature. Examples of fractal-like structures in nature are snowflakes and leaf skeletons. Fractal-like designs which offer high surface area, improved stability, and efficient transport of ions in the materials have been
