Home Self-intersecting three-periodic minimal surfaces forming two-periodic (flat) labyrinths
Article
Licensed
Unlicensed Requires Authentication

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

  • Elke Koch
Published/Copyright: September 25, 2009

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.

Published Online: 2009-9-25
Published in Print: 2000-7-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

Downloaded on 26.9.2025 from https://www.degruyterbrill.com/document/doi/10.1524/zkri.2000.215.7.386/html
Scroll to top button