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What are good and user-friendly math-softwares for 3d-visualization as in

  1. https://www.youtube.com/watch?v=x7d13SgqUXg (sphere-eversion process).

  2. https://www.youtube.com/watch?v=rB83DpBJQsE (divergence curl)

  3. https://www.youtube.com/watch?v=r18Gi8lSkfM (Fourier Transform)

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  • $\begingroup$ Given (2), this seems like a question for MESE; but anyway it does not seem to be a question about research-level mathematics, which means it probably doesn't belong on MO. $\endgroup$
    – LSpice
    Commented May 21, 2020 at 13:55
  • $\begingroup$ I ask this question to explain my research to graduate students $\endgroup$
    – chyle
    Commented May 21, 2020 at 14:12
  • $\begingroup$ Right—to explain your research, which is in your capacity as a math educator. That is why I think it belongs on MESE. $\endgroup$
    – LSpice
    Commented May 21, 2020 at 14:14
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    $\begingroup$ If MO community can help with questions on highly-mathematical object visulaizations as in (1) mathoverflow.net/questions/60512/…, (2) mathoverflow.net/questions/282100/…, (3) mathoverflow.net/questions/116333/…. Then I believe they can help with mine too, for in a visualization is many times intended to deliver concepts. $\endgroup$
    – chyle
    Commented May 21, 2020 at 14:42
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    $\begingroup$ In principle, good visualization software could also be used to discover new things in the first place. (Probably it would make a good question to ask for real-life cases in which this has happened.) $\endgroup$
    – Federico Poloni
    Commented May 21, 2020 at 15:10

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I use POV ray -- helps for both research and teaching.

Though I don't know if POV ray is a practical tool to model sphere eversion.

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