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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