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I much enjoyed Kalid Azads Interactive Guide to Fourier Transform article on BetterExplained.com [ and was much impressed he mentioned my animated sine demo, which he extended upon in wonderful ways. ]
I wanted to mention another variant of the animated sine demo, where you can add a second circle and slide back and forth to see the first 2 terms of a Fourier series.
It seems like a gentle intro that would get young people thinking..’hmm, what if I add another circle… and how big should that circle be…’.
Obligatory Tolkien quote : “It’s a dangerous business, Frodo, going out of your door. You step into the Road, and if you don’t keep your feet, there is no knowing where you might be swept…”
Here is a minor update I did a while ago that shows what happens when a second circle spins around the point on the outside of the first circle…
This might be a nice lead into Fourier Series…