University of Tokyo Researchers Apply Smith Hat Aperiodic Geometry to Optical Structures

Researchers at the Institute of Industrial Science at the University of Tokyo have developed optical structures based on the "Smith hat," a geometric tile that maintains an aperiodic pattern. This development applies the mathematical principles of the Einstein tiling problem—a long-standing puzzle involving shapes that tile a plane without repeating—to the field of optical physics. Researchers at the Institute of Industrial Science at the University of Tokyo have developed optical structures based on the “Smith hat,” a geometric tile that maintains an aperiodic pattern. This development applies the mathematical principles of th... [806 chars]