New construction techniques for minimal surfaces

TL;DR

This paper discusses general methods for constructing new minimal surfaces from existing ones, despite the non-linear nature of the underlying equations.

Contribution

It introduces novel techniques that enable the generation of minimal surfaces, expanding the toolkit beyond traditional methods.

Findings

New construction methods for minimal surfaces

Applicability to a wide class of known surfaces

Potential for discovering novel minimal surface configurations

Abstract

It is pointed out that despite of the non-linearity of the underlying equations, there do exist rather general methods that allow to generate new minimal surfaces from known ones.