Enneper-Weierstraß Parameterization

Gives a parameterization of a Minimal Surface.

$$\Re \int \left[{\matrix{f(1-g^2)\cr if(1+g^2)\cr 2fg\cr}}\right]\,d\zeta.$$

See also Minimal Surface

References

Dickson, S. ``Minimal Surfaces.'' Mathematica J. 1, 38-40, 1990.

do Carmo, M. P. Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, p. 41, 1986.

Weierstraß, K. ``Über die Flächen deren mittlere Krümmung überall gleich null ist.'' Monatsber. Berliner Akad., 612-625, 1866.