The fractal geometry of roughness is a very old topic. It is basically about messes. It's not that roughness is a regularity of order, but vice versa, as the basis of all shapes is roughness.
Roughness can be measured by a number, D=practical measure of roughness.
Is the Mandelbrot Set the most complex of all mathematical objects? The formula so dry and simple, and produced are
shapes of such beauty, almost baroque-like shapes...
"Bottomless wonders spring from simple rules without an end..."