Q:Fractals seem to appear all over nature and in economics. Even the internet is fractal. What does that say about the underlying nature of these phenomena?
A:Well, it depends on the field. Circles and straight lines also appear everywhere. Does this mean that all those phenomena have something in common? Of course not. The roughly circular trajectory of a planet around the sun is due to gravitational interactions. Berries are round because a sphere has a smaller skin. The beauty of geometry is that it is a language of extraordinary subtlety that serves many purposes.
Q:So fractals don't point to a single rule underlying reality?
A:There is no single rule that governs the use of geometry. I don't think that one exists.
From <a href=http://www.newscientist.com/opinion/opinterview.jsp;jsessionid=LHJCGEKJLFPH?id=ns24731>this</a> interview with Benoit Mandelbrot, who along with Gaston Julia is pretty much responsible for the invention of fractals as we know 'em.
How many times have I heard someone here bring up Fractals like they really *MEAN* something? I always tell them they're f-ing idiots for saying so.
Well, now here's The Man Himself saying the same thing. If the idiots in the crowd won't listen to me, maybe they'll take it straight from the horse's mouth. Benoit says YOU SUCK, losers!
-Chris