Advertisement

Complexity and Chaos Theory in Art

  • Jay KappraffEmail author
Chapter
Part of the The Frontiers Collection book series (FRONTCOLL)

Abstract

In recent years, the mathematics of complexity and chaos theory have begun to explore the depths of the natural world. The power of the computer has provided the means to create totally realistic models of natural forms. Artists and musicians have gained their inspiration from both the simplicity and complexity of the world, and through their art have added their own contributions. This paper will explore how mathematics and the arts complement each other to articulate this evolving picture of nature. Many examples from art and science will be presented.

References

  1. Baez, M.A.: The phenomenological garden. In: On Growth and Form: The Engineering of Nature. ACSA East Central Regional Conference, University of Waterloo (2001)Google Scholar
  2. Barnsley, M.: Fractals Everywhere. Academic Press, San Diego (1988)zbMATHGoogle Scholar
  3. Chaitin, G.J.: A century of controversy over the foundations of mathematics. Complexity 5(5), 12–21 (2000)ADSMathSciNetCrossRefGoogle Scholar
  4. Cogan, R., Escot, P.: Sonic Design: The Nature of Sound and Music. Prentice Hall, Englewood Cliffs, NJ (1976)Google Scholar
  5. Eglash, R.: African Fractals. Rutgers University Press, New Brunswick (1999)zbMATHGoogle Scholar
  6. Gardner, M.: White and brown music, fractal curves and one-over-f fluctuations. Sci. Am. v238(4) (1978)Google Scholar
  7. Jenny, H.: Cymatics. Basilius Press, Basel (1967)Google Scholar
  8. Kappraff, J.: Beyond Measure: A Guided Tour Through Nature, Myth, and Number. World Scientific, Singapore (2003)Google Scholar
  9. Kauffman, L.H., Varela, F.J.: Form dynamics. J. Soc. Bio. Struct. 3, 161–206 (1980)Google Scholar
  10. Kauffman, S.A.: The Origins of Order: Self Organization and Selection and Complexity. Oxford Press, New York (1995)Google Scholar
  11. McClain, E.G.: Myth of Invariance. Nicolas-Hays, York Beach (1976, 1984)Google Scholar
  12. McClain, E.G.: The Pythagorean Plato. Nicolas-Hays, York Beach, Me (1978, 1984)Google Scholar
  13. McClain, E.G.: Musical theory and Cosmology. The World and I (1994)Google Scholar
  14. McClain, E.G.: A priestly View of Bible arithmetic in philosophy of science. In: Babich BE (ed) Van Gogh’s Eyes, and God: Hermeneutic Essays in Honor of Patrick A. Heelan. Kluwer Academic Publishers, Boston (2001)Google Scholar
  15. Peitgens, H.-O., Jurgens, H., Saupe, D.: Chaos and Fractals. Springer, New York (1992)CrossRefGoogle Scholar
  16. Purce, J.: The Mystic Spiral. Thames and Hudson, New York (1974)Google Scholar
  17. Schwenk, T.: Sensitive Chaos. Schocken Books, New York (1976)Google Scholar
  18. Spencer-Brown, G.I.: Laws of Form. George Allen and Unwin, Ltd., London (1969)zbMATHGoogle Scholar
  19. Wolfram, S.: A New Kind of Science. Wolfram Media, Inc., Champaign. IL (2002)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.New Jersey Institute of TechnologyNewarkUSA

Personalised recommendations