Flower Fractals

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].

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.