Scherk Minimal Surfaces

In 1835, Heinrich Ferdinand Scherk discovered a pair of complete embedded minimal surfaces; their generalizations are singly and doubly periodic. It is also possible to add handles and edges, as in the last examples.

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References
[1] M. Weber. "Classical Surfaces." Minimal Surface Archive. (Sep 2013) www.indiana.edu/~minimal/archive/Classical/index.html.
[2] F. J. López and F. Martín, "Complete Minimal Surfaces in ," Publicacions Matematiques, 43(2), 1999 pp. 341–449. www.ugr.es/~fmartin/dvi/survey.pdf.
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