Helicoidal Scherk towers
It is possible to twist the symmetrical Scherk towers. These helicoidal
Scherk towers do not have any planar symmetries. But a twisted tower
with 2k helicoidal wings still has 2k straight lines trough the points
with vertical normals. Furthermore 180-degree rotation around certain
horizontal normals are still symmetries. For any k one gets a one-parameter
family where the parameter defines the twisting angle.
How do I get the complete fundamental domain of translation
when using GRAPE?
The input file name of these surfaces is scherkdrill.am.
The helicoidal Scherk tower with four wings has two orthogonal straight lines.
First reflect along these straight lines. Then find a boundary-point where
180-degree rotation around its normal is a symmetry.
Return to the surface list.
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grape@iam.uni-bonn.de
