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3.14 Loops. Pi Doesn't. | Pi Visualized
About this video
Pi vs 3.14, visualized with two rotating arms. A rational ratio repeats exactly; an irrational ratio has no exact period.
Gold uses 3.14 = 157/50, so its complete motion loops after 50 turns of the first arm. Cyan uses pi: the full motion has no exact period. The paths can still cross themselves.
The curve is z(theta) = exp(i theta) + exp(i r theta). Both instruments use the same first-arm phase progression. Original Three.js animation and original music.
Inspired by Lingualin's visual math concept: youtube.com/shorts/k8qRmMKmIpI
Topics
pi3.14irrational numbersrational numbersmath animationvisual mathcomplex numbersrotating vectorsquasiperiodic motionmath visualizationThree.jssatisfying math
