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GRAPE - Minimal Surface Library -
surfaces with one planar and one Enneper end
Splitting of a catenoid end into two Scherk ends
Catenoid ends represent double poles of the Weierstrassdata which
define minimal surfaces. In order to illustrate what happens if one
splits this double pole symmetricly into two single poles one can
construct a one-parameter deformation of the catenoid. The result
is a singly-periodic minimal surface. From a distance it looks like
a fence of half-catenoids sitting on the intersection-region of two
half-planes.
How do I get the complete fundamental domain of translation
when using GRAPE?
The input file name of these surfaces is catsplit.am.
The fundamental piece has three planar geodesics. First reflect along
the horizontal one then reflect along one of the two vertical ones.
Return to the surface list.