The principles of evolution and self organization are most evident in systems that are poised at the edge of chaos.

Only at the boundary between chaos and stability can systems change and remember. Change is necessary as a means for pattern mutations and memory is necessary as a means for pattern survival and perpetuation.

It is not a coincidence that life started in water, which is in a liquid state between the Brownian chaos of gas and the rigid stability of ice. Nor is it a coincidence that earthly life tends to thrive at coastlines and riverbanks, where the stability of land and the motion of water meet.

It is not surprising that all the intricacies of fractals occurs at the boundaries between regions that are very mathematically stable and regions that mathematically blow up to infinity.