georgedvore opened this issue on Jun 29, 2004 ยท 10 posts
lkmitch posted Fri, 02 July 2004 at 8:23 PM
Fractals are both chaotic and ordered, as chaos (in the sense of fractals) is order. Basically, small changes in the input lead to big changes in the output, in ways that may seem random but are fundamentally well-ordered. In the typical fractal (like the Mandelbrot set), a small change in c may take you from a fixed point orbit to a divergent orbit or from a periodic orbit to a chaotic orbit. The fact that there's infinite detail in a fractal suggests that it is chaotic, and the fact that one can see repeating structures in that detail suggests that its ordered. Kerry