Aperiodicity is all you need: Aperiodic monotiles for high-performance composites

Abstract: This study introduces a novel approach to composite design by employing aperiodic monotiles, shapes that cover surfaces without translational symmetry. Using a combined computational and experimental approach, we study the fracture behavior of composites crafted with these monotiles, and compared their performance against conventional honeycomb patterns. Remarkably, our aperiodic monotile-based composites exhibited superior stiffness, strength, and toughness in comparison to honeycomb designs. This study suggests that leveraging the inherent disorder of aperiodic structures can usher in a new generation of robust and resilient materials.