The Chaos Game

Herb Kunze (), Davide La Torre (), Franklin Mendivil () and Edward R. Vrscay ()
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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

Chapter Chapter 6 in Fractal-Based Methods in Analysis, 2012, pp 213-241 from Springer

Abstract: 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.

Date: 2012
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DOI: 10.1007/978-1-4614-1891-7_6

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