Parametric Curves/Lissajous Figures

I must have an odd faith in humanity if it can be boosted by watching the wonder on the faces of my students after I showed them how to have their calculators (TI-83s in most cases) display parametric curves and Lissajous figures.

There’s something mesmerizing about the little cursor moving across the screen like a wasp around a hive. And with the right set of k values (or is it w values) you can get spirograph-like figures on your display.

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