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FERN FRACTALS

FERN FRACTALS. Claire-Marie Kooi. BACKGROUND and METHOD. Use an Iterated Function System (IFS) as described by British Mathematician Michael Barnsley Generated by repeated transformations of a point in the plane Always self-similar CONSTRUCTION

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FERN FRACTALS

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  1. FERN FRACTALS Claire-Marie Kooi

  2. BACKGROUND and METHOD • Use an Iterated Function System (IFS) as described by British Mathematician Michael Barnsley • Generated by repeated transformations of a point in the plane • Always self-similar CONSTRUCTION • Start with a vector x with two components x(1) and x(2) • There are four different transformations that it goes through according to the probability that you choose for each x Ax + b Each transformation corresponds to a different element of the fern (ex. Stem, fronds, curvature of the leaves, etc.)

  3. MOVIESRun Code With: ferncurlyandfernchristmas

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