FractalCreator - Settings

• Mandelbrot;
• Julial;
• Mandelbrot generic;
• Julia generic.

The first two types of fractals are generated using the classical formula Z_n+1 = Z²_n + C, while for the last two types any formula can be used.
 

The constant is used only for a Julia fractal. A value for this constant can be input by the user or can be selected from the Mandelbrot set (for this point a Julia set will be generated). For choosing a point, first draw the Mandelbrot fractal. Then select Acquire Point (Ctrl + A) from the Fractal menu and select with a left click of the mouse the point from Mandelbrot set.
 

Using FractalCreator you can choose the colors for the fractal. In order to do this you have to modify the Color field from the Settings dialog box. The value must be in hexadecimal base (000000 - FFFFFF).  The chosen value is multiplied for each point of the complex plane with the number of iterations needed to determine if the point is included in the Mandelbrot or the Julia set. The maximum number of iterations for a point is 200.
 

Each fractal is drawn for restricted area of the complex plane. This area is given by the coordinates of the center point and the size. You can modify the following:

• X coordinate: position of the center on Ox (default value: 0);
• Y coordinate: position of the center on Oy (default value: 0);
• Size: the length of the fractal.

FractalCreator allows you to set the bound of the complex module used to determine is a point from the complex plane is included in the Mandelbrot or in the Julia set. You have to modify the Module Bound field in order to do that. The default value is 2.

Another option that can be changed is the value for the zoom in/out rate. You can change this rate by modifying the Zoom In/Out rate field. The range of allowed values is 100 – 1000. That means the zoom in/out can be made with a value between 1 and 10. Is the rate is set to 100 the fractal will not be modified.
 

For generic Mandelbrot and Julia fractals the classical function must be changed. A generic function Z_n+1 = Z^m_n + C can be used, but any other function is allowed. The way such a function is build is presented bellow.

Reset the existing function by selecting the Reset Function button. The new function will be:

z = Expression

If you click on Expression a dialog box will be displayed allowing you to replace the selected expression with another one. The new expression can be:

Expression + Expression
Expression - Expression
Expression * Expression
Expression / Expression
(Expression)
Complex
Constant
z
c

If Expression is replaced with Constant or Complex when you click on these two you will be prompted to input a constant. The difference between Constant and Complex is that Constant is a real number while Complex is a complex number. The complex number can have imaginary number equal to zero. In that case the complex number is a real number.

z and c are special variables. z is used as the name of the function, while c is the constant that is added to this function for the Julia set. (e.g. z = z * z + c)