Constructs a one-parameter family of genus-3 embedded doubly periodic minimal surfaces with four parallel ends via Weierstrass data and period problem solution.
Karcher, Embedded minimal surfaces derived from Scherk's examples, Manuscripta Math., 62 (1988), 83--114
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Genus three embedded doubly periodic minimal surfaces with parallel ends
Constructs a one-parameter family of genus-3 embedded doubly periodic minimal surfaces with four parallel ends via Weierstrass data and period problem solution.