THE MAPLE LEAF FRACTAL Christina VoEPS 109 Fall 2013

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

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