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Elke Koch

Self-intersecting three-periodic minimal surfaces forming two-periodic (flat) labyrinths

14 families of minimal surfaces with straight self-intersections have been derived which subdivide R³ into infinitely many congruent, two-periodic ‘flat labyrinths’. For eleven families, all flat labyrinths are parallel to each other. Two sets of mutual perpendicular flat lab-yrinths have been found three times. All these minimal surfaces are non-orientable. Their Euler characteristics vary between -3 and -13.

Zeitschrift für Kristallographie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0044-2968
Volume: 215, 07/2000
Pages: 386

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