The triple pendulum without trigonometry

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Context: I'm looking at Norman Wildberger's rational trigonometry[1], and here I was wondering how useful it is in physics. So I thought about testing it with the famous simple pendulum exercise.It's not obvious we get any FPS gain, but still I find it cool to even be able to get the same result differently.1. https://en.wikipedia.org/wiki/Rational_trigonometry

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Website: grondilu.github.io/triple-pendulum.html