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