Just to show you what can be done, here is a small gallery of Minimal Surfaces I created with the help of MeshSmith and POV-Ray...

Of course, POV-Ray hackers deserving the title can do much better than I did!

All the surfaces shown here are Minimal in the sense that they have zero mean curvature (and not that they are area-minimizing).

For those interested in the subject, all the equations of these beauties, as well as an exhaustive treatment of the theory, are to be found on the excellent book "Minimal Surfaces, Vol. I" by U. Dierkes, S. Hildebrandt, A. Kuester and O. Wohlrab ("Grundlehren der mathematischen Wissenschaften", Springer, Berlin, 1992).





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