Chen-Gackstatter Surface

This surface is the first immersed minimal torus with one puncture which was discovered. It can be described as an Enneper surface with a handle. The two planar symmetry lines of this surface cut it into four congruent pieces. In addition, the asymptote lines through the middle saddle are straight lines on the surface.


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How do I get the complete surface from the symmetries when using GRAPE?

The input file name of this surface is gackstatter.am.

You have to carry out three operations of reflection. First reflect along one of the planar symmetry lines. Then reflect along the second planar symmetry line. Finally reflect along the straight line.


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