Soft and stretchable electronics, equipped with diverse functional devices, have recently garnered attention owing to their versatilityin applications such as stretchable displays, flexible batteries, and electronic skin (e-skin). A fundamental challenge in realizing stretchableelectronics lies in conferring the necessary flexibility to crucial electrical components such as electrodes and devices. However, theprevalent electronic materials, exhibit limited stretchability, presenting a significant obstacle to the advancement of soft and stretchableelectronics. To overcome this challenge, various strategies rooted in geometrical engineering have been explored to enhance the adaptabilityof rigid materials. This study delves into the realm of geometrical engineering by, examining techniques such as serpentine patterns,kirigami-inspired designs, and island structures, with a keen focus on recent progress and future prospects.