k-noids with handle
It is possible to build a handle in the k-noids of Jorge-Meeks between
the two points with vertical normals. This works for all k > 2.
The larger the number of catenoid ends, the smaller gets the handle compared
to the surface as a whole. The fundamental piece contains four planar
geodesic lines. Two of them are horizontal the others are vertical.
How do I get the complete surface from the symmetries when using
GRAPE?
The input file name of these surfaces is tornoids.am.
As in the case of k-noids without handle you have to carry out k+2 operations
of reflection to get a complete k-noid with handle.
First reflect along one of the horizontal planar symmetry lines. Then reflect
along one of the vertical planar lines. The result has to be reflected k
times along one of the vertical boundary lines.
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grape@iam.uni-bonn.de
