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.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

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

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.