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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