Changing formula parameters

Look at the Tool Windows on the right side of the fractal window and click on the Formula tab of the topmost (Layer Properties) tool window.

Under the formula name at the top (in this case, Newton) you will see settings (Drawing Method, Periodicity Checking, Additional Precision, and Maximum Iterations) which appear for every fractal formula. The parameters specific to this particular formula are listed below the dividing line (in this case: Exponent (Re), Exponent (Im), Root (Re), Root (Im) and Bailout value).


While Guessing, the default drawing method, is the fastest method of rendering fractals, it often introduces artifacts into the image. You may wish to choose either the Multi-Pass or One-Pass Linear options for accurate rendering.

The Exponent parameter determines the number of "arms" of the Newton fractal structure. The default value is "3" so the fractal has three arms. Try entering different values in the Exponent (Re) parameter.

  • When you have finished experimenting, enter 4 in the Exponent (Re) parameter. Your fractal will look like this:

 

Try entering negative numbers and other values (e.g. .5, 1.2, and .0385) in the various parameters and see how they twist and fracture the structure.

At this stage, you may want to change the size of the fractal window. To do this, click on the Image tab of the second (Fractal Properties) tool window.

  • Make sure the "Resize with fractal window" option is not checked and then enter new values in the width and height fields.
 

You can customize the default fractal window size opening the Preferences dialog and selecting the Defaults tab.

Next: Applying a coloring algorithm