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
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"An Enneper-Weierstrass Minimal Surface"
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Published: March 7 2011