*Euler’s characteristic* is a beautiful equation that encapsulates the essence of various geometric figures in only a few components. Euler characteristic uses only numbers of vertices, edges, and faces to characterize classes of shapes and their intricacies accurately. Euler characteristic is one of mathematics’ most efficient and elegant equations and holds great importance for those interested in the anatomy of geometric figures.

## The Minimal Surface Equation

The minimal surface equation may be an abstract mathematical concept, but its applications in the real world are clear to see. The phenomena of soap films that form on the…