Minimal Surfaces: Analytic Examples

This lecture covers the concept of minimal surfaces, which locally minimize area, and their properties such as curvature, normal curvature, and Gaussian curvature. It delves into the history of minimal surfaces, including examples like Costa's Minimal Surface. The lecture also explores various types of minimal surfaces, such as developable surfaces and curved foldings, and provides insights into the classification of surfaces based on Gaussian curvature. Additionally, it discusses the construction of triply periodic minimal surfaces and showcases examples from the Minimal Surfaces Gallery.