All the surfaces below are obtained by solving a Plateau problem for a non compact polygonal curve, and extending this solution by successive Schwarz reflections.


Minimal
surfaces with helicoidal ends. By the deforming the above surfaces, we get minimal surfaces with helicoidal ends. The example on the right corresponds to a nonorientable minimal helicoid due to L. Ferrer and F. Martín. 
Mathematica 2.2 for Solaris.