Minimal surfaces in science, technology, architecture

Abstract

The article considers minimal surfaces, the interest in which has not decreased for more than two hundred years. The minimum surface is the surface of zero mean curvature. Initially, soap bubbles and soap films tightening wire contours were examples of such surfaces. Mathematicians were the first to pay attention to these surfaces, among which are names known all over the world: Lagrange, Laplace, Poisson, Steiner, Plateau. Scientists have noticed that the analytical expression of minimal surfaces is found in research in the field of physics and chemistry, which led to discoveries awarded the Nobel Prize. Due to the unusual properties of minimal surfaces, new construction materials have appeared in the technique.