Friday, 10 October 2014

Fractal edge on Broom Fell

Here's a view from Lord's Seat back across to Broom Fell. Look at the ragged lower edge of the cloud. It's an example of a fractal pattern. Think of 3 dimensions - up/down, backwards/forwards side-to-side. So 2 dimensions is essentially a very flat piece of paper. And 1 dimension is a perfectly thin line. But fractals are "fractional dimensions". So the line of the bottom of the cloud fills space more than a line does but less than a piece of paper does. It will have a dimension between 1 and 2. Fractals are a bit more complicated than this basic outline but that's the gist. The idea is that details repeat at smaller and smaller scales making a very complicated shape made of simple building blocks.