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)

Abstract

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.

Keywords

Epoxy Rubber Calcite Polystyrene Vinyl 

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References

  1. 1.
    H. A. Schwarz, “Gesammelte Mathematische Abhandlungen,” Vol. 1, Julius Springer, Berlin, 1890.Google Scholar
  2. 2.
    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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