Welcome to Fractal Forums

First,  I am not very good at programming.
Second, I am not very good at algebra.
Third, I don't have all that much time.

I have been obsessing on doing this myself, but I spent too much time I don't have trying to figure this out.


I was fascinated by the fact that negative numbers times negative numbers bounce around between -2 and 2 (about).
Well, in trying to play with just the real number line, I added a little extra thing for fun.
First I had fx=>x^2+a, and fy=>y^2+b:  it was boring, of course I thought it would be.

But when I added fx=>(x+y)^2+a, and fy=>(y-x)^2+b, I picked a random value of x=-0.9, y=-0.3, and got this cool guy:
(http://fc09.deviantart.net/fs70/f/2010/263/f/7/mysterious_fractal_by_thunder_wave-d2z562e.png)
I did this on OpenOffice spreadsheet.  I was so fascinated by this "footprint", that I wanted to render it in a fractal program.
I couldn't figure out how to generate my own formula using that algorithm,  so I used "Processing" and got these images.
(http://fc00.deviantart.net/fs70/f/2010/263/b/c/mysterious_fractal_2_by_thunder_wave-d2z56q8.png)
(http://fc00.deviantart.net/fs71/f/2010/263/7/3/mysterious_fractal_3_by_thunder_wave-d2z570v.jpg)
Those were all the strange attractors.
The next idea is to do what Mandelbrot did and repeat the equation at every plot.  I borrowed a Mandelbrot code on Processing and fixed it to do just that and got these images:
(http://fc00.deviantart.net/fs71/f/2010/263/2/c/mysterious_fractal_4_by_thunder_wave-d2z57y7.png)
(http://fc05.deviantart.net/fs71/f/2010/263/2/a/mysterious_fractal_5_by_thunder_wave-d2z5816.png)
(http://fc07.deviantart.net/fs71/f/2010/263/9/c/mysterious_fractal_6_by_thunder_wave-d2z5886.png)

What I would like to do is:
One:  be able to explore the fractal like a Mandelbrot.
Two:  Use parts of it to generate the strange attractors in them.
Three: do this in ChaosPro.

Any takers?
I would like to look at the codes made and see if they can help me learn quicker then reading the whole reference that doesn't work.  I examined other codes too and none helped.  The reference as I said was not working for me either.  My patience ran out.