On Sat, 20 Mar 2004 23:44:43 -0500, Xilo Musimene 
<xil### [at] cainternet> wrote:

>> "Strange Attractors: Creating Patterns in Chaos (ISBN 1-55851-298-5)"
>> by Julien C. Sprott
>
> Excellent Tor!  I've started reading this at my job (in secret since I 
> shouldn't use the internet for personnal use!) and I found it extremely 
> interesting...
>
> Actually, I decided to try to create a PHP script that will render one 
> of these Chaotic attractors and I will try to work toward a more fractal 
> attractor.  Eventually, I guess it will be pretty easy to port this PHP 
> code to OpenGL and have an interactive animation of it.  I could even 
> add a function that would output a povray code to render it...


I've whipped up a little program myself that can render these attractors 
(among others).
Here are some results:

Manual Kasten's attractor (sin/cos-based):
http://hem.bredband.net/b230591/attractor/attractor1.png

 From the book (EAGHNFODVNJCP):
http://hem.bredband.net/b230591/attractor/attractor_2.png

 From the book (ETJUBWEDNRORR):
http://hem.bredband.net/b230591/attractor/attractor_3.png

Sierpinski triangle (random-based):
http://hem.bredband.net/b230591/attractor/sierpinski.png



> Now, I haven't read much of the book, but I wonder if it's possible to 
> make nice looking strange att. in 3D?  Then POV-Ray will come handy to 
> make nice stereographs of the object.
>
> Thanks,
>    Simon
>


3D-attractors (and even higher orders) are described in the book. Maybe 
I'll do some experiments with them; just to see if the extra dimension is 
worth the extra effort.


---
FE

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