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Predicting a double pendulum is physically impossible in the long term because it is a deterministic chaotic system. While the exact equations of motion are known, infinitesimal differences in initial conditions—such as a millionth of a degree—will cause the trajectories to diverge completely almost immediately. © Science Facts

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Mathematics, physics. We live in a chaotic, unpredictable universe. This is a grid of 812 double pendulums, each with slightly different initial conditions for the two angles of the pendulum. By Jonathan Nafziger, Used with permission
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