Singly periodic minimal surfaces

Singly periodic minimal surfaces
In general, a surface is called singly periodic if it is invariant under a screw motion. This is a euclidean congruence which amounts to a translation along an axis and a rotation about this axis.
The helicoid The translation invariant helicoid with handles The twisted helicoids with handles Singly periodic Scherk surface Singly periodic Scherk surface with more ends Singly periodic Scherk surface with more handles The twisted singly periodic Scherk surface The half twisted singly periodic Scherk surface Riemann's minimal surface Riemann's minimal surface with handles

In general, a surface is called singly periodic if it is invariant under a screw motion. This is a euclidean congruence which amounts to a translation along an axis and a rotation about this axis.