Release 4.0

### Escapetime Fractals - Parameters

Fig.: Parameter Window

The Escapetime parameter window has five different tabs.
• The area tab lets you define the base area of the complex number plane. For more information see:Area Window. The "standard" Area window contains more values to adjust. The Escapetime fractal type has transformations, and these formulas provide the additional parameters (and many more...).
• The transformation tab lets you add transformations of the area defined before. For more information about transformation formulas and their meaning see Transformations.You add transformations by double clicking onto a transformation formula in the compiler window or by selecting a transformation formula in the compiler window and pressing the "Add Transformation" image button in the parameter window.
Because a transformation simply "transforms" (or, in other words, takes a complex number and produces a complex number), it is possible to apply several transformations: The successing transformation takes as input the output from the preceding transformation.
And this indeed makes sense: Suppose you have a simple transformation which just "moves" the input area (takes the input value and adds a complex number). Suppose you also have a transformation which does some rotation. If you now want to combine these two transformations you could write a more complicated transformation which "moves" and "rotates". But wouldn't it be easier, if you just apply the "movement" transformation, and after that apply the "rotation" transformation? ChaosPro allows you to do that: You can write many simple understandable transformations. And the user who simply wants to create fractals can combine any number of transformations to obtain interesting sets of the complex number plane. For more information about setting parameters of your transformations see Setting Formula Parameters.

One note: Transformations can skrew up the zoom feature: As the zoom feature simply zooms into the area defined in the area tab and transformations "transform" that area ChaosPro is not always able to do a correct zooming. The error occurs if at least one transformation depends on a value which is not fix between zooms.
• The formula tab lets you specify the iteration formula to use for the fractal. Assign such a formula by double clicking onto the formula in the compiler window or by selecting it and pressing the "Set"-button.
You then can change the parameters of this formula.