Books/Articles

Books

  1. Robert Devaney. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics, Pearson Learning, www.pearsonlearning.com, 1990.
  2. Robert Devaney. A First Course in Chaotic Dynamical Systems, Perseus Publishing Co. (a division of Harper/Collins), 1992. [See Preview at Google Books]
  3. Robert Devaney, J.Choate, and A.Foster. Fractals: A Toolkit of Dynamics Activities, Key Curriculum Press, 1998.
  4. Gerald A. Edgar. Measure, Topology, and Fractal Geometry, Springer-Verlag, 1990.
  5. Sandy Fillebrown. "Other Chaos Games," in Fractals, Graphics, & Mathematical Education, M.L.Frame and B.B.Mandelbrot, Editors, Mathematical Association of America, 2002, pages 105-109. [See Preview at Google Books]
  6. Gary William Flake. The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation, MIT Press, 1998. [See Preview at Google Books]
  7. Heinz-Otto Peitgen, Hartmut Jurgens, and Dietmar Saupe. Fractals for the Classroom, Part One: Introduction to Fractals and Chaos, Springer-Verlag, 1992.
  8. Michael F. Barnsley. Fractals Everywhere, Academic Press, 1993 (Second Edition). [See Preview at Google Books]
  9. Richard M. Crownover. Introduction to Fractals and Chaos, Jones and Bartlett Publishers, 1995.
  10. Kevin Lee and Yosef Cohen. Fractal Attraction: A Fractal Design System for the Macintosh, Academic Press, 1991.
  11. Michael Field and Martin Golubitsky, Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature (2nd Edition), SIAM, 2009. [See Preview at Google Books.]

Articles

  1. Robert Devaney, "Chaos Rules!", Math Horizons, November 2004, 11-14. [Winner of the 2005 Trevor Evans Award from the MAA]. JSTOR (requires subscription). Also available at Bob Devaney's website.
  2. "Fractal Tilings in the Plane", Richard Darst, Judith Palagallo, and Thomas Price, Mathematics Magazine, Vol. 71, No. 1, February 1998, 12-23. [JSTOR (subscription required)]
  3. "Fractal Tilings Derived from Complex Bases", Sara Hagey and Judith Palagallo, The Mathematical Gazette, Vol. 85, No. 503 (July 2001), 194-201. [JSTOR (subscription required)]
  4. "Analyzing the Area of Fractal Tilings", Miyuki Breen and Judith Palagallo, The Pi Mu Epsilon Journal, Vol. 11, No. 8, Spring 2003, 413-422.
  5. "Number Systems With a Complex Base: A Fractal Tool for Teaching Topology," Daniel Goffinet, American Mathematical Monthly, Vol. 98, No. 3 (March 1991), 249-255. [JSTOR (subscription required)]
  6. The Canopy and Shortest Path in a Self-Contacting Fractal Tree," Benoit Mandelbrot and Michael Frame, Mathematical Intelligencer, Vol. 21, No. 2 (Spring 1999), 18-27.
  7. "Finding Gold in the Forest: Self-contacting Symmetric Binary Fractal Trees and the Golden Ratio", by Tara Taylor, St. Francis Xavier University.
  8. "The Trouble with von Koch Curves Built from n-gons," Tamás Keleti and Elliot Paquette, American Mathematical Monthly, Vol. 117, No. 2 (February 2010), 124-137. [JSTOR (subscription required)]
    An online supplement containing an interactive Java applet is available at MathDL, the MAA Mathematical Sciences Digital Library.