I read several years back about the Feigenbaum constant and its ability to predict the onset of Chaos. Mitchell Feigenbaum came up with the observation back in 1975, I believe. It was stated in one article I read to be a universal scaling property for Chaos theory. I never followed the math involved, but I was wondering about the fact that the Feigenbaum constant is so closely approximated by the ratio: 10/(Pi-1). Why is this?