There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.

Order doesn't come by itself.

Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.

Beautiful, damn hard, increasingly useful. That's fractals.

Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.