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PANOMAND is an open source software for plotting Mandelbrot and Julia sets. It is written in two BASIC dialects: PANORAMIC and FreeBASIC. At this time, the functions implemented are the power functions (z^p + c, with p integer or real) and the combination (1 - t) * z^p + t * z^q + c

PANOMAND is available at:

http://sourceforge.net/projects/panolib/files/panomand.zip (http://sourceforge.net/projects/panolib/files/panomand.zip)

You will need the PANORAMIC editor to run the programs:

http://www.panoramic-language.com/ (http://www.panoramic-language.com/)

Did a quick look around the panoramic-language web site, but did not notice anything that actually was called the "PANORAMIC editor".  Just a bunch of "Sponsored listings", which were basically links to other sites.
 

Oops ! Sorry ! I inadvertently copied an old address !

The PANORAMIC website is here:

http://panoramic-language.pagesperso-orange.fr/ (http://panoramic-language.pagesperso-orange.fr/)

And the link to the latest (development) version of the editor is here:

http://panoramic-language.pagesperso-orange.fr/PANORAMIC_EDITOR.zip (http://panoramic-language.pagesperso-orange.fr/PANORAMIC_EDITOR.zip)

A tutorial based on this program is being published in the webzine "Panoramic le mag".

The first chapter is here:

http://panoramiclemag.magix.net/public/EN018.htm (http://panoramiclemag.magix.net/public/EN018.htm)

The 2nd chapter is scheduled for November 9.

The web site of the magazine is being updated and the previous link is no longer valid !

You have to go to the website :

http://panoramiclemag.magix.net/public/base_articles.htm (http://panoramiclemag.magix.net/public/base_articles.htm)

then select the option "Article in English" in the menu at left.

Not very easy..., so I have placed the first 2 chapters on DropBox :

https://www.dropbox.com/s/gh7achc9pb0a4j8/fractals_1_by_jean_debord.pdf (https://www.dropbox.com/s/gh7achc9pb0a4j8/fractals_1_by_jean_debord.pdf)

https://www.dropbox.com/s/sbojnaadzux07yj/fractals_2_by_jean_debord.pdf (https://www.dropbox.com/s/sbojnaadzux07yj/fractals_2_by_jean_debord.pdf)

New version 1.4:

- handling of critical points in the "combination" formula
- improved program test_mandel
- more examples

http://sourceforge.net/projects/panolib/files/panomand.zip (http://sourceforge.net/projects/panolib/files/panomand.zip)

New version 1.5
--------------------

* New formula : z^p + c / z^q + k

* The main programs are supplied as executables, in addition to the source code. So, you don't need to install PANORAMIC, unless you want to modify the programs. The executables have been tested on a 32-bit system. I have not verified if they run on a 64-bit system.

* The documentation has been expanded

English version :
http://sourceforge.net/projects/panolib/files/panomand.zip

French version :
http://sourceforge.net/projects/panolib/files/panomand_fr.zip

See :
https://en.wikibooks.org/wiki/Color_Theory/Color_gradient

Can you add some images to commons ?
LIke :
Exemple avec p = 5 et c = (-0,5 ; 0,64)
c = (-0,75 ; 0,1) Ce point est en-dehors de l'ensemble de Mandelbrot. L'ensemble de Julia est discontinu.