Scherk towers with handle
It is possible to build a handle in all the Scherk towers of order k > 2.
As in the case of the k-noids with handle, the larger the number
of Scherk ends, the smaller gets the handle compared
to the surface as a whole. The fundamental piece consists of four planar
geodesics. Two of them are horizontal the others are vertical.
How do I get the complete fundamental domain of translation
when using GRAPE?
The input file name of these surfaces is torotow.am.
As in the case of k-noids with handle you have to carry out k+2 operations
of reflection to get a complete tower with 2k wings and handle.
First reflect on one of the horizontal planar symmetry lines. Then reflect on
one of the vertical planar lines. The result has to be reflected k times on
one of the vertical boundary lines.
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grape@iam.uni-bonn.de
