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´´Fractals: A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.´´
just exploring today...no idea where it will lead me...
That is a wonderful 'pseudo-code' you just wrote, and for an experienced programmer, it might even be possible to recreate the exact screensaver/winamp-plugin it is you're describing here, but for us normal idiots who haven't read- nor practiced programming for over 20 years, it'd be much easier if you could just tell us the name of the program you're using, so that we too can download it and experience what you can experience. :)
The discussion after that, ought to be rather interesting. :)
a=Re^(bx)
It is called Lyapunove exponent.
The equation of Golden Spiral reads:
r=ce^(dy)
Golden spiral equation has exactly the same mathematical structure as the equation that measures chaos. From then you can relate Golden spiral to fractals.
I´m exploring the ways that fractals are pictures of chaos...
I´m exploring the connection between chaos and fractals today....