[image: bild.png] Fun stuff :-D Here is a version of a spirograph I made in the Etoys image a few years ago. I had the trails form in the play field move so I could make a cool graph
Best, Karl
On Thu, Aug 4, 2022 at 6:55 PM Yoshiki Ohshima Yoshiki.Ohshima@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@codefrau.net wrote:
On Thu, Aug 4, 2022 at 01:15 Stéphane Rollandin lecteur@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