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Orthogonal System | by Daniel Piker
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Orthogonal System

I find triply orthogonal systems of surfaces very interesting

 

books.google.com/books?id=-LRumtTimYgC&lpg=PA661&... orthogonal surfaces&pg=PA661

 

I found it funny that when you revolve a family of loxodromes about an axis and add a set of planes around that axis (not shown here for clarity) you get a triply orthogonal system from only 2 families of surfaces.

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Taken on July 25, 2009