Flower Fractals

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Fractals are complex geometric shapes that exhibit self-similarity, that is, the object is made up of pieces that have the same structure as the whole [1].

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There are many formulas and procedures that have been used to generate fractals with computer programs. This Demonstration uses Newton's formula for finding roots of a polynomial:

,

applied to the polynomial , where is a complex number.

The bound is the maximum number of iterations and the resolution refers to the size of the grid.

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Contributed by: Jorge Gamaliel Frade Chávez (March 2011)
Open content licensed under CC BY-NC-SA


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Reference:

[1] PhysioNet. "Fractal Objects and Self-Similar Processes." (June 15, 2010) www.physionet.org/tutorials/fmnc/node3.html.



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