The Mandelbrot Set is the index of the parameters for which there is
a connected Julia Set. Seeing how the two are related is quite
interesting. Especially with animations. And if you like the
little sample, there is a torrent full of them.
The complete source code is included, of course. The walks along
the main cardioid and the main bulb are pretty neat. From this we
can guess that a walk along some secondary bulb would especially
nice. Now, I have to ask for help on that one. The point of
intersection of the secondary bulbs are know, they are
(/ (- 1 (expt (- (exp (* 2 #c(0 1) pi (/ p q))) 1) 2)) 4)
The main bulb is p=1 and q=2. The first person who tell me how to
find center of the secondary bulbs will win a custom rendered movie!
Isn't it a good deal?
update: the torrent is gone. Bittorrent is great for
large files with flash popularity. Without it hosting large files like
that would have been really difficult. The catch is that you need
seeds and you can't hold on them forever. The movie pack was downloaded
75 times for a total of 19 gigs. Wow! Thanks to all the seeds!
I'll pay you back with more fractal stuff soon.