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A soap film stretched within a framework is a physically realizeable minimal surface. It has helical edges which can be observed if the framework is half-inch plexiglass tubes.
Minimal surfaces have become an area of intense mathematical and scientific study over the past 15 years, specifically in the areas of molecular engineering and materials science, due to their anticipated nanotechnology applications.
Touching Soap Films graphical introduction to minimal surfaces and soap films.
Differential geometry Minimal surfaces