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Thomsen surfaces are both Euclidean as well as affine minimal surfaces; Thomsen first characterized them in 1923 and they were completely classified in 1980. Two families exist; the second one can be generated when and , as well as and , are interchanged.
Contributed by: Enrique Zeleny (June 2014)
Open content licensed under CC BY-NC-SA
The parametrization for family 1 is
 U. Dierkes, S. Hildebrandt, and F. Sauvigny, Minimal Surfaces, 2nd ed., New York: Springer, 2010.