Deformation of the Catenoid into the Fournoid
This is a one-parameter family of minimal surfaces.
If the parameter varys,
the fournoid of Jorge-Meeks is deformed into the catenoid.
The "hexanoid" (minimal surfaces which has all symmetries of
a cube and six catenoid ends) is contained in this family
(see the third postscript file).
The deformation can be continued by turning the four horizontal
catenoid ends inwards (see the last postscript file).
This property is typically for minimal surfaces.
How do I get the complete surface from the symmetries when using
GRAPE?
The input file name of these surfaces is cat_4noid.am.
You have to carry out four reflections. First reflect along the horizontal
boundary line. Then reflect along the two remaining vertical boundary lines.
Return to the surface list.
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grape@iam.uni-bonn.de