This picture is the pattern of dots that occurs when the slider is placed all the way to the right. It's a strange region to which the dots are attracted, called a Strange Attractor. In particular, it highlights the fact that while the chaotic region may be complex and usually unpredictable, it is not random; the dots don't spread all over the chart without any discernable pattern.

We should end this section with a few qualitative notes. First, it should be apparent that very small changes in initial conditions can give rise to very different long term evolution and behavior. For example, let's suppose (we're just pretending now - don't be scared) that we as a species were stupid enough to change the CO₂ and methane levels in our atmosphere to such an extent that it had a global effect on climate (again, please, I'm just pretending!). Well, the climate and the environment are extremely complicated nonlinear systems. We might hope that in making these pretend changes it would alter the climate and environment slowly enough that we could adapt (in the words of John Hume: ill habits gather by unseen degrees). If chaos theory teaches us anything, it is that the small changes we make can give rise to sudden and catastrophic consequences, such as outbreaks and wild oscillations (dogs and cats interbreeding, aliens from deep space intruding in an unfriendly fashion on the Milan fashion industry).

Another thing chaos theory teaches us is that it teaches us less than we'd like. Chaos theory is really neat mathematically, but in the real world chaotic regimes are very unpredictable. Part of the reason chaos theory has received as much attention as it has is that economies evolve nonlinearly, and people with money wanted mathematicians to develop ways of analysing economies to make it easier for them to make more money without having to work for it. Unfortunately for them, the best chaos theory can do is to predict unpredictability. This is fortunate for everyone else, for in the absence of anything like excessive control or tyranny societies can evolve in extraordinary and unpredictable ways, enriching us existentially. Tyrannies tend to take us too far from the edge of chaos, which reduces inherent flexibility and ultimately long term survivability - that is, they harbor the seeds of their own destruction. On the other hand, so too do societies that allow too much chaos. Biological systems rely on a fine balance of order and chaos (to be distinguished from randomness), and long term survivability of a species requires a fine mix of both, being right on the edge. It's sort of like surfing: too far out and there's nothing happening; too far in and it's all churn and foam; but dude, right on the face of a tubular wave, that's heaven.