I have studied fractals and think of them as things that exhibit self similarity at different characteristic scales. For example a grain of sand looks a bit like a pebble, which looks a bit like an outcrop, which looks a bit like a mountain. If you count the number of grains of sand there will be loads of them, the number of pebbles will be a bit less, the number of outcrops less still, and there will be even less mountains. I understand fractals to have a statistical distibution whereby there are lots of little ones and less big ones, and the slope of this distribution (plotted logarithmically) is related to the fractal dimension. So how does this link to chaos??? Is it that chaotic phenomena tend to exhibit fractal statistics??? Surely there's more to it than that. Thanks for help in my understanding!!