A minimal surface is a surface that locally minimizes its area while having a fixed boundary. This means that, among all possible surfaces that connect a given set of points, a minimal surface has the least surface area. Examples of minimal surfaces include the shape of soap films stretched across a wireframe and the Catenoid. Mathematically, minimal surfaces can be described using calculus and differential geometry. They are characterized by having a mean curvature of zero at every point. The study of minimal surfaces has applications in various fields, including physics, architecture, and materials science.