An Enneper-Weierstrass Minimal Surface
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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.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
"An Enneper-Weierstrass Minimal Surface"
Wolfram Demonstrations Project
Published: March 7 2011