Michael Hinze:

On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours

Minimal surfaces bounded by a polygon in q space dimensions correspond in a one-to-one manner to the critical points of Shiffman's function $\Theta$. For arbitrary, but fixed polygons this function was investigated numerically by the author in ref . The present work extends these results to families of polygons depending on a parameter. In the numerical part investigations on the bifurcation process of one-parameter families of polygonal approximations of three well-known contour families are presented.

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