Skip to main content

Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing

  • Chapter
Mathknow

Part of the book series: MS&A ((MS&A,volume 3))

  • 1910 Accesses

Abstract

It is very interesting to study the parallel story of soap bubbles and soap films in art and science. Noting that mathematicians in particular have been intrigued by their complex geometry, the author traces a short story of research in this area from the first experiments by Plateau in the late nineteenth century to more recent works. Looking for the connections with art and architecture, with a special look to the Olympic swimming stadium in Beijing built in 2008

It’s because I don’t do anything, I chatter a lot, you see, it’s already a month that I’ve got into the habit of talking a lot, sitting for days on end in a corner with my brain chasing after fancies. It is perhaps something serious? No, it’s nothing serious, They are soap bubbles, pure chimeras that attract my imagination. Fedor Dostoevsky, Crime and Punishment

A soap bubble is the most beautiful thing, and the most exquisite in nature ... I wonder how much it would take to buy a soap bubble if there was only one in the world. Mark Twain, The Innocents Abroad

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. De Gennes, P.G.: Soft matter. Science 256, 495–497 (1992)

    Article  Google Scholar 

  2. Emmer, M.: Bolle di sapone: un viaggio tra arte, scienza e fantasia. La Nuova Italia, Firenze(1993). New revisited edition, Bolle di sapone, Bollati Boringhieri, Torino, to appear

    Google Scholar 

  3. Newton, I.: Opticks or a Treatise of the Reflections, Refractions, Inflections and Colour of Light, first edition (1704); second edition, including 7 new queries (1717–1718). Reprinted Dover, New York, 214–224 (1979)

    Google Scholar 

  4. Virgilio Marone, P.: Eneide I, 360–368.

    Google Scholar 

  5. Newman, J.R. (ed.): The World of Mathematics, pp 882–885. Simon and Schuster, New York (1956)

    MATH  Google Scholar 

  6. Plateau, J.: Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires. Gauthier-Vilars, Paris (1873)

    Google Scholar 

  7. Laplace, P. S.: Traité de mécanique céleste: supplément au Livre X (1805–1806). Reprinted in Oeuvres Complétes, Gauthier-Villars, Paris

    Google Scholar 

  8. Douglas, J.: Solution of the problem of Plateau. Trans. Amer. Math. Soc. 33, 263–321, (1931)

    Article  MathSciNet  Google Scholar 

  9. Radó, T.: On the Problem of Plateau, Ergebnisse der Mathematik, pp. 115–125. Springer-Verlag, Berlin (1933)

    Google Scholar 

  10. Radó, T.: The problem of Least Area and the problem of Plateau. Math. Zeithschrift 32, 762–796 (1930)

    Google Scholar 

  11. De Giorgi, E., Colombini, F., Piccinini, L.C.: Frontiere orientate di misura minima e questioni collegate. Scuola Normale Superiore, Pisa (1972)

    MATH  Google Scholar 

  12. Reifenberg, E.R.: Solution of the Plateau problem. Problem for n-dimensional Surfaces of Varying Topological Type. Acta Math. 104, 1–92 (1960)

    Article  MATH  MathSciNet  Google Scholar 

  13. Taylor, J.E.: The Structure of Singularities in Soap-Bubbles-Like and Soap-Film-Like Minimal Surfaces. Ann. Math. 103, 489–539 (1976)

    Article  Google Scholar 

  14. Almgren, F., Taylor, J.: The Geometry of Soap Bubbles and Soap Films. Scient. Amer., 82–93 (1976)

    Google Scholar 

  15. Emmer, M.: Soap Bubbles. Film in the series Art and Mathematics, DVD, Emmer prod., Rome (1984)

    Google Scholar 

  16. Arnez, A., Polthier, K., Steffens M., Teitzel, C.: Touching Soap Films. Springer videoMath, Berlin (1991)

    Google Scholar 

  17. D’Arcy Thompson, W.: On Growth and Form. Cambridge University Press, Cambridge (1942)

    MATH  Google Scholar 

  18. Emmer, M.: Dai Radiolari ai vasi di Gallé. In: Emmer, M.(ed.) Matematica e cultura 2007, pp. 31–41, Springer, Milano (2007)

    Chapter  Google Scholar 

  19. Frei, O.: Tensile Structures: Design, Structure and Calculation of Buildings of Cables, Nets and Membranes. The Mit Press, Boston (1973)

    Google Scholar 

  20. Miller, B.: Bubbles Shadows. Anderson Ranch Arts Center, Snowmass Village, Colorado (2006)

    Google Scholar 

  21. Miller, B.: Bubbles Shadows. In: Emmer, M. (ed.) Matematica, e cultura 2008, pp. 323–331. Springer, Milano (2008)

    Chapter  Google Scholar 

  22. Bosse, C.: L’architettura delle bolle di sapone. In: Emmer, M. (ed.) Matematica e cultura 2007, pp. 43–56. Springer, Milano (2007)

    Chapter  Google Scholar 

  23. Boys, V.: Soap Bubbles: their Colours and the Forces which mould them. (1911) Reprinted Dover, New York, (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Italia, Milan

About this chapter

Cite this chapter

Emmer, M. (2009). Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing. In: Emmer, M., Quarteroni, A. (eds) Mathknow. MS&A, vol 3. Springer, Milano. https://doi.org/10.1007/978-88-470-1122-9_8

Download citation

Publish with us

Policies and ethics