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Embedded Triply-Periodic Minimal Surfaces and Related Soap Film Experiments

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Book cover Geometric Analysis and Computer Graphics

Part of the book series: Mathematical Sciences Research Institute Publications ((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.

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References

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

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  2. E. R. Neovius, “Bestimmung Zweier Speciellen Periodische Minimalflächen,” Helsingfors, 1883.

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  3. A. H. Schoen, Infinite periodic minimal surfaces without self-intersections, NASA Technical Note TN D-5541 (1970).

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Southern Illinois University, Carbondale, IL, 62901, USA

    Alan H. Schoen

Authors
  1. Alan H. Schoen
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Editor information

Editors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, USA

    Paul Concus

  2. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Robert Finn

  3. Department of Mathematics, University of Massachusetts, Amherst, MA, 01003, USA

    David A. Hoffman

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© 1991 Springer-Verlag New York, Inc.

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Schoen, A.H. (1991). Embedded Triply-Periodic Minimal Surfaces and Related Soap Film Experiments. In: Concus, P., Finn, R., Hoffman, D.A. (eds) Geometric Analysis and Computer Graphics. Mathematical Sciences Research Institute Publications, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9711-3_16

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  • DOI: https://doi.org/10.1007/978-1-4613-9711-3_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9713-7

  • Online ISBN: 978-1-4613-9711-3

  • eBook Packages: Springer Book Archive

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