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Saddle tower

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Saddle tower

In differential geometry, a saddle tower is a minimal surface family generalizing the singly periodic Scherk's second surface so that it has N-fold (N > 2) symmetry around one axis.

These surfaces are the only properly embedded singly periodic minimal surfaces in R3 with genus zero and finitely many Scherk-type ends in the quotient.

References

Saddle tower Wikipedia