Flower Fractals
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:
z
i+1
z
i
f()
z
i
f'()
z
i
applied to the polynomial , where is a complex number.
f(z)=+1
n
z
z
The bound is the maximum number of iterations and the resolution refers to the size of the grid.
b