Geodesic
Higher-genus Chen-Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus.
Experimental mathematics, Tome 4 (1995) no. 1, pp. 29-39.

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Keywords: Weierstrass representation, minimal surfaces, finite total curvature, period problem 
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     author = {Thayer, Edward C.},
     title = {Higher-genus {Chen-Gackstatter} surfaces and the {Weierstrass} representation for surfaces of infinite genus.},
     journal = {Experimental mathematics},
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Thayer, Edward C. Higher-genus Chen-Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus.. Experimental mathematics, Tome 4 (1995) no. 1, pp. 29-39. http://geodesic.mathdoc.fr/item/EXMA_1995__4_1_232333/