WOLFRAM|DEMONSTRATIONS PROJECT

Flower Fractals

​
bound b
10
resolution
0.01
0.02
0.04
0.08
color
petals n
3
4
5
6
7
8
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
f(z)=
n
z
+1
, where
z
is a complex number.
The bound
b
is the maximum number of iterations and the resolution refers to the size of the grid.