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I am looking for interesting videos featuring pure data animations (not someone talking about math, but a video featuring some math phenomenon). I am interested in videos that tell a story, rather than being pure art. I've seen some about fractals, or the orbit of the Riemann zeta function. But these are isolated examples. I am interested in a bigger, more comprehensive list of such videos. Looking for videos bringing some insights and real math value (even if empirical), possibly featuring the result of some experimental math project. I produced a few. They show how chaotically the classic series of the Riemann function $\zeta(z)$ converges for specific values of $z$ in the critical strip. See one here. The picture below shows a Gif version. enter image description here

My next question is how to add harmonious sound to the video, and I mean math-generated sound that matches the frames of the video, and is related to the concept being visualized. For instance, creating "Riemann zeta music". If you are aware of such videos, please let me know.

Note: I've found a webpage featuring some cool math-related animated pics: www.reddit.com/r/mathpics/.

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  • $\begingroup$ I made this animation recently youtu.be/16JCmLcVClE which shows a connection between simple physics and the exponential function, without words (although I also put a written explanation in the video description). Probably too elementary but I couldn't resist $\endgroup$
    – D.S. Lipham
    Commented Mar 6, 2022 at 22:02
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    $\begingroup$ for the harmonius sound, you might be interested in this : reddit.com/r/musictheory/comments/tcamot/… btw very cool animation. did you use sagemath and python? $\endgroup$
    – mathoverflowUser
    Commented Mar 13, 2022 at 14:29
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    $\begingroup$ To produce the GIF in my MO question, I used an MP4 to GIF converter. Plenty are available for free as online apps on the Internet. $\endgroup$
    – Vincent Granville
    Commented Mar 13, 2022 at 16:48
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    $\begingroup$ You might also enjoy this subreddit: reddit.com/r/generative $\endgroup$
    – mathoverflowUser
    Commented Mar 13, 2022 at 17:17
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    $\begingroup$ @VincentGranville: I am no musician, but one approach would be to first create an integer sequence based on the visual Riemann zeta pattern and then create music based on this sequence, like here for example: youtube.com/watch?v=sRwjTe6zm7s where the zeta function of the klein four group is sonified. $\endgroup$
    – mathoverflowUser
    Commented Mar 14, 2022 at 20:58

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