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.

[1][2] These surfaces are the only properly embedded singly periodic minimal surfaces in

3

{\displaystyle \mathbb {R} ^{3}}

with genus zero and finitely many Scherk-type ends in the quotient.