The Lorenz System

is a system of ordinary differential equations (the Lorenz equations), notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor—the strange attractor—is a set of chaotic solutions of the Lorenz system that, when plotted, resemble a butterfly. Or a figure eight, sometimes relaxed on its side. That is, they resemble Infinity. Importantly, however, not all solutions to the Lorenz system are chaotic. It is the chaotic solutions, however, that generate the strange attractor. It is the chaotic solutions, however, that create the oscillating beauty. It is the chaotic solutions that mesmerize. Non-chaotic solutions of the Lorenz system generate only that: a non-chaotic solution set. It is not a lesser thing, but it is a different thing. For all that it resolves, it does not fascinate. It simply allows the door to open onto a new problem set. Or set of problems, as it were. Depending on how you define resolution.

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