Minimal surface

A minimal surface is a surface that naturally shapes itself to minimize its area, similar to how a soap film stretched across a wireframe finds the smoothest, most efficient form. These surfaces have zero mean curvature at every point, meaning they are perfectly balanced without bulging inward or outward. Examples include soap bubbles and certain biological membranes. Mathematically, minimal surfaces are studied in geometry and physics because they reveal efficient ways to connect points and can model natural phenomena where energy or surface tension drive shapes toward minimal area configurations.