An Elegant Proof Based on a Physical Model
The article provides proof of the following theorem: among all n-gons with a given side length, the one inscribed in a circle has the largest area. The proof is based on the surface tension model, which is a physical model describing the surface tension of soap bubbles. The main tool of the proof is the principle of minimum potential energy, and the construction is so simple that even a high school student could understand it.
