Hay's theorem

Hay's theorem addresses how to decompose complex minimal surfaces—like soap films—bounded by a given shape. It states that these minimal surfaces can be broken down into simpler components, each associated with a specific boundary part, and these components collectively form the entire minimal surface. Essentially, it provides a mathematical way to understand and analyze complex minimal surfaces by examining their simpler pieces. This helps mathematicians understand the structure and properties of minimal surfaces in geometric and physical contexts, revealing how they naturally minimize area while spanning certain boundaries.