[squeak-dev] [offtopic] Fourier transform

Yoshiki Ohshima Yoshiki.Ohshima at acm.org
Thu Aug 4 16:55:03 UTC 2022

It's fun indeed.

I remember making some Etoys to draw some regular waveforms...

[image: e.jpg]

On Thu, Aug 4, 2022 at 7:58 AM Vanessa Freudenberg <vanessa at codefrau.net>

> On Thu, Aug 4, 2022 at 01:15 Stéphane Rollandin <lecteur at zogotounga.net>
> wrote:
>> > I'm unable to think algebraically very effectively but can
>> > think visually (for example I didn't understand the fourier transform
>> > algebraically (the double integral formulation), but understand it
>> > perfectly well as an infinite set of infinite integrals of the products
>> > of a sine wave with an arbitrary waveform (itself composed of sine
>> > waves)).
>> As a visual person myself, Fourier transform did only really click with
>> me intuitively when I saw it related to epicycles. See Mathologer's
>> video here:
>> https://www.youtube.com/watch?v=qS4H6PEcCCA
>>  Stef
> Thank you for that video! Really enjoyable – I knew the epicyclic
> explanation for how Fourier synthesis can generate a curve, but never
> understood Fourier analysis, how to find the factors for a given curve. I
> had a light bulb moment in the last part of the video where all the
> integrals in the infinite sum become zero except for one particular term.
> Beautiful!
> Vanessa

-- Yoshiki
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