Geometric Design of Kirigami Metamaterials
Kirigami, the traditional art of paper cutting, has recently emerged as a promising paradigm for mechanical metamaterials. While many prior works have studied the geometry and mechanics of certain periodic kirigami tessellations, the computational design of more complex structures is less understood. In this talk, I will present several mathematical design frameworks for modulating the geometry of kirigami tessellations. In particular, by identifying the geometric constraints controlling the compatibility, compact reconfigurability and rigid-deployability of the kirigami structures, we can achieve a wide range of patterns that can be deployed into pre-specified shapes in two or three dimensions.