👉 Regge mathematics, developed by Eugenio Regge in the early 20th century, is a geometric approach to understanding and describing the structure of surfaces, particularly in the context of minimal surfaces and curvature. Unlike traditional differential geometry, which relies heavily on differential operators and tensors, Regge mathematics uses a discrete, piecewise-linear framework. It represents surfaces as networks of vertices, edges, and faces (often called Regge cells) connected by straight line segments. These cells approximate the smooth geometry of surfaces, allowing for the study of properties like curvature and minimal area. Regge's work laid the foundation for understanding how surfaces can be modeled using combinatorial and algebraic techniques, making it particularly useful in fields such as computer graphics, materials science, and theoretical physics.
