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The Chaos Game

In: Fractal-Based Methods in Analysis

Author

Listed:
  • Herb Kunze

    (University of Guelph, Department of Mathematics and Statistics)

  • Davide La Torre

    (University of Milan, Department of Economics, Business and Statistics)

  • Franklin Mendivil

    (Acadia University, Department of Mathematics and Statistics)

  • Edward R. Vrscay

    (University of Waterloo, Department of Applied Mathematics)

Abstract

We saw the chaos game in Chapter 2, where it was introduced first as a means of generating an image of the attractor of an IFS in R2. In this chapter, we will see several other things one can do with the chaos game. First we will modify the chaos game to obtain a way of generating approximations of the invariant function for an IFSM (see Chapter 3 for the basic properties and results about an IFS on functions). Our modification is inspired by work of Berger [21, 22, 23], who constructed a chaos game for generating the graph of a wavelet.

Suggested Citation

  • Herb Kunze & Davide La Torre & Franklin Mendivil & Edward R. Vrscay, 2012. "The Chaos Game," Springer Books, in: Fractal-Based Methods in Analysis, chapter 0, pages 213-241, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1891-7_6
    DOI: 10.1007/978-1-4614-1891-7_6
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