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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 . 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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