Pattern Formation

Pattern formation refers to the processes through which complex structures or designs emerge from simple interactions. This phenomenon can be observed in nature, such as the stripes on zebras or the spots on leopards. It often involves biological systems, where cells communicate and respond to their environment, leading to organized patterns. Mathematical models, like those developed by Alan Turing, explain how these patterns can arise from random initial conditions. Essentially, pattern formation illustrates how order can emerge from chaos through self-organization, showcasing the remarkable interplay between simple rules and complex outcomes in biological and physical systems.