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Newton Fractal texture (ymd 170915)


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Newton Fractal texture





What's this?

This effect was a bonus in the bottom list of my pack of plugins without its post till now.


My first version of this plugin was really basic compared to the possibilities of the formula and its parameters. This last version offers much more things to play with.


This texture effect fills the image (replace the original).


Trying to explain how it works (I admit I have some lacks in math), the formula uses squares, cubes, powers till 9 on a matrix.


Parameters A, B, C and D are placed in the formula depending on each other.

If a parameter doesn’t seem to work, it should be because another is set to zero (zero x whatever = 0, change any zero to 1 to test more parameters).



Download it!

Plugin NewtonFractal.dll

ar.png Here is the DLL http://jcljay.free.fr/pdn/NewtonFractal.zip 


The MadJik's All plugins package is available!




How to install

Close Paint.net


Classic version of Paint.net

Unzip and (re)place the DLL in your Effect folder usually: C:/Program Files/Paint.NET/Effects


Microsoft Store version of Paint.net

Unzip and (re)place the DLL in your Effect folder usually: /My Documents/paint.net App Files/Effects/

You have to adapt for your language My Documents



The User interface

This plugin is added to the menu Effects, submenu Texture.




The range is width to allow to zoom in detail. If your result is empty, you should be outside the object, try to zoom out and aim a part of the fractal, with horizontal/vertical pans.


Horizontal / Vertical pans

Move the focus point on the center of the canvas.


Range of color

Change the range of colors to use to draw the fractal. 

Factors A/B/C/D

This is the tricky part to explain. Just play with the sliders…



This is the main slider. Try low values 0 or 1 to have more regular angles. High values will give more torn angles.



This is to set the depth of details around the fractal.


Background frequency

The background is made with rainbow colored concentric circles. This is to set the frequency of these circles.

Color angle

Set your overall colors choice playing with this angle chooser.


Alternate color function

Use another formula for the color calculation. This could need higher values for factors A/B/C/D to give interesting results. 



If checked the fractal is symmetrically drawn on a vertical centered axe. 





The Examples:












The Examples with animation:








Voilà! Enjoy!

Let me see what you could do with it!

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