Embedded Triply-Periodic Minimal Surfaces and Related Soap Film Experiments

  • Alan H. Schoen
Conference paper
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 17)


Some aspects of the modelling of embedded triply-periodic minimal surfaces (ETPMS) by both soap films and plastic models are discussed. Eight new examples of possible ETPMS are introduced. Interference-diffraction patterns obtained by reflecting laser light from soap films with non-zero Gaussian curvature are described.


Minimal Surface Surface Module Boundary Edge Soap Film Curve Edge 
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  1. 1.
    H. A. Schwarz, “Gesammelte Mathematische Abhandlungen,” Vol. 1, Julius Springer, Berlin, 1890.Google Scholar
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    E. R. Neovius, “Bestimmung Zweier Speciellen Periodische Minimalflächen,” Helsingfors, 1883.Google Scholar
  3. 3.
    A. H. Schoen, Infinite periodic minimal surfaces without self-intersections, NASA Technical Note TN D-5541 (1970).Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 1991

Authors and Affiliations

  • Alan H. Schoen
    • 1
  1. 1.Department of Electrical EngineeringSouthern Illinois UniversityCarbondaleUSA

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