A short explainer from 2swap on the chaotic behavior of double pendulums. It examines how predictable the system is for some starting conditions and whether closed-form solutions exist.
Why Hacker News points people here: Cited as a related video when threads touch on chaos, predictability and fractals from pendulum state spaces.
“here's a relevant video about the (sometimes not) chaotic nature of double pendulums”HN comment, 2025
“You can make a fractal out of the state graph of a double pendulum”
Fractal from double pendulum state graph.
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You can make a fractal out of the state graph of a double pendulum: this video I don't doubt there could be an iterative formula that maps to it, but I'd be very surprised.
Cites itEMIRELADEROSep 2025
“here's a relevant video about the (sometimes not) chaotic nature of double pendulums”
Relevant to the chaotic nature of double pendulums.
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As an aside, here's a relevant video about the (sometimes not) chaotic nature of double pendulums: this video
Cites itsatvikpendemApr 2026
Chaos can be predictable over ranges of input.
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Correct, it's akin to chaos theory or the butterfly effect, which, even it can be predictable for many ranges of input: this video