[squeak-dev] [offtopic] Fourier transform

Vanessa Freudenberg vanessa at codefrau.net
Thu Aug 4 20:14:37 UTC 2022


On Thu, Aug 4, 2022 at 1:10 PM Yoshiki Ohshima <Yoshiki.Ohshima at acm.org>
wrote:

> Thank you!
>
> I took the screenshot with SqueakJS but did not occur that I can share the
> link this way ^^;
>

 Yeah it's completely undocumented (unless you read the source)

😅

Vanessa


> On Thu, Aug 4, 2022 at 12:46 PM Vanessa Freudenberg <vanessa at codefrau.net>
> wrote:
>
>> Found your project, and it works in SqueakJS:
>>
>>
>> https://squeak.js.org/etoys/#fullscreen&document=http://www.squeakland.org/content/showcase/everyone/accounts/yoshiki/Sawtooth%20Wave.008.pr
>>
>> Vanessa
>>
>>
>> On Thu, Aug 4, 2022 at 9:55 AM Yoshiki Ohshima <Yoshiki.Ohshima at acm.org>
>> wrote:
>>
>>> 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>
>>> wrote:
>>>
>>>> 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
>>>
>>>
>>>
>>
>
> --
> -- Yoshiki
>
>
>
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