Skip to main content

Mathematical Pictures: Visualization, Art and Outreach

  • Chapter
Raising Public Awareness of Mathematics

Abstract

Mathematicians have used pictures for thousands of years, to aid their own research and to communicate their results to others. We examine the different types of pictures used in mathematics, their relation to mathematical art and their use in outreach activities. (This article is based on a talk on 28 September 2010 at the conference Raising Public Awareness of Mathematics in Óbidos.)

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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    These include Cabri <cabri.com>, Cinderella <cinderella.de> and Geometer’s Sketchpad <dynamicgeometry.com>.

References

  1. Alsina, C., Nelsen, R.B.: An invitation to proofs without words. Eur. J. Pure Appl. Math. 3, 118–127 (2010)

    MathSciNet  MATH  Google Scholar 

  2. Bobenko, A.I., Schröder, P., Sullivan, J.M., Ziegler, G.M. (eds.): Discrete Differential Geometry. Oberwolfach Seminars, vol. 38. Birkhäuser, Basel (2008)

    Google Scholar 

  3. Francis, G.: A Topological Picturebook. Springer, Berlin (1987)

    MATH  Google Scholar 

  4. Francis, G., Sullivan, J.M., Kusner, R.B., Brakke, K.A., Hartman, C., Chappell, G.: The minimax sphere eversion. In: Hege, H.-C., Polthier, K. (eds.) Visualization and Mathematics, pp. 3–20. Springer, Berlin (1997)

    Chapter  Google Scholar 

  5. Gooch, B., Gooch, A.: Non-photorealistic Rendering. AK Peters, Wellesley (2001)

    MATH  Google Scholar 

  6. Hutchings, M., Morgan, F., Ritoré, M., Ros, A.: Proof of the double bubble conjecture. Ann. Math. 155, 459–489 (2002). doi:10.2307/3062123

    Article  MATH  Google Scholar 

  7. Hass, J., Schlafly, R.: Double bubbles minimize. Ann. Math. 151, 459–515 (2000). doi:10.2307/121042

    Article  MathSciNet  MATH  Google Scholar 

  8. Hertzmann, A., Zorin, D.: Illustrating smooth surfaces. In: SIGGRAPH, pp. 517–526 (2000)

    Chapter  Google Scholar 

  9. Phillips, T.: Math in the Media (April 2007). ams.org/news/math-in-the-media/mmarc-04-2007-media

  10. Sullivan, J.M., Francis, G., Levy, S.: The Optiverse. In: Hege, Polthier (eds.) VideoMath Festival at ICM’98. Springer, Berlin (1998). Narrated videotape (7 min)

    Google Scholar 

  11. Sullivan, J.M., Morgan, F.: Open problems in soap bubble geometry. Int. J. Math. 7(6), 833–842 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  12. Sullivan, J.M.: Minimal flowers. In: Bridges Proceedings (Pécs), pp. 395–398 (2010)

    Google Scholar 

  13. Winkenbach, G., Salesin, D.: Computer-generated pen-and-ink illustration. In: SIGGRAPH, pp. 91–100 (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to John M. Sullivan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Sullivan, J.M. (2012). Mathematical Pictures: Visualization, Art and Outreach. In: Behrends, E., Crato, N., Rodrigues, J. (eds) Raising Public Awareness of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25710-0_21

Download citation

Publish with us

Policies and ethics