Helicoidal Minimal Surfaces, Part III

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The two (infinite) families of balanced real configurations we found are closely related to the zeores of the Hermite polynomials. We believe that these are the only real solutions to the balance equations. However we have found many more complex solutions, most of them related to new minimal surfaces. We do not know into what else these surfaces might be deformable. We list a few examples by depicting the locus of the balance configuration and the mutligraph. Currently, there are no minimal surface images of near surfaces available.

 

Meeks' Möbius strip Meeks' Möbius strip
Meeks' Möbius strip Lopez' Klein Bottle
Meeks' Möbius strip Slab Surface  
Meeks' Möbius strip Slab Surface  
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