An Enneper-Weierstrass Minimal Surface

A minimal surface has zero mean curvature. An Enneper-Weierstrass parametrization for such a surface is based on two suitably defined holomorphic functions and . The functions chosen here are and . Embedding in is given by the indefinite integrals , where , and . The surface shown is the parametric plot of the real and imaginary parts of the as ranges over an annulus.



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