Barnsley imaginaire


This HTML page describes the different parameters you can find in the mde - Barnsley imaginaire formula. For further explanations or just suggestions, you may contact me at mdessur@hotmail.com.

I would also mention that English is not my first language. So, I would appreciate comments on how to better this text from that point of view. Thanks.


The formula

The principle behind the three Barnsley formula in Fractint is the following: The calculation is different in each formula and this is what causes their differences. In the Barnsley 1 and Barsnley 3 formulas, the two calculations use only the real part of Z. In the Barnsley 2, it is performed on both real and imaginary part of Z.

I made the Barnley imaginaire formula with the purpose of seeing what would happen if in the Barnsley 1 and 3 formulas, the real part of Z was changed for its imaginary conterpart. I kept both a Mandelbrot & Julia version, so the switch mode can still be used.

Here are the specific parameters of the formula:
 
Barnsley Type This is the choice between the two original Barnsley formulas.
Choices First (default), Third
Comments The First option corresponds to the Barnsley 1 and the Third to the Barnsley 3.

 
Barnsley Offset This parameter lets you change the 0 of the result of calculation for another value.
Choices You may use any number. Default is 0 for backward compatibility with previous version.
Comments Instead of having the result of calculation being >= 0 (zero or positive) or < 0 (negative), you can change it to >= Offset or < Offset

 
Seed This is just a set of two numbers you may use to modify the formula in the Julia version. The meaning is purely mathematical.
Choices You may use any number.
Comments This number can be determined by using instead the Mandelbrot version and the switch mode.

 
Starting Point This is just a set of two numbers you may use to start the calculation in the Mandelbrot version. The meaning is purely mathematical.
Choices You may use any number.

The other parameters are part of the Epsilon Range Parameter Toolbox and the Bailout Parameters Toolbox.