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THE MAPLE LEAF FRACTAL Christina VoEPS 109 Fall 2013.

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Presentation on theme: "THE MAPLE LEAF FRACTAL Christina VoEPS 109 Fall 2013."— Presentation transcript:

1 THE MAPLE LEAF FRACTAL Christina VoEPS 109 Fall 2013

2 Background & Methods  Example of a iterated function system (IFS), a method developed by Michael Barnsley  Self-similar  Generated with repeated linear transformations of a point on a plane called affine transformations using the formula where a-f are “IFS code” coefficients with an assigned probability factor p  Starts with initial point (x 1 = 0, y 1 = 0) written as a vector and then new points are iteratively computed by randomly applying one of the following four affine transformations abcdefp 0.140.0100.51-0.08-1.310.10 0.430.52-0.450.51.49-0.750.35 0.45-0.490.47 -1.62-0.740.35 0.49000.510.021.620.20

3 Run my code with: maple_leaf.m


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