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    Pi and the Mandelbrot Set - Numberphile

    Numberphile

    3 HN recommenders · recommended in 3 months, 2017–2019

    YouTube

    7:56 · 881K views · Oct 1, 2015

    Numberphile with Dr Holly Krieger shows how the digits of pi surprisingly emerge from the Mandelbrot set. A short, accessible math explainer.

    Recommended whenever the Mandelbrot set comes up, as a neat and surprising result.

    Mathematics & Theoretical CSRecreational & visual mathPure mathematics
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    3 comments from Hacker News

    1. @elamjeSep 2019· in “The Riemann Hypothesis”

      My absolute favorite numberphile video is how pi occurs in a peculiar way with Riemann Zeta/Mandelbrot. Maybe it only amazes me because I don’t have a PhD in math, but it just seemed so strange how pi shows up in this video. this video

      Strongly recommendsView on HN
    2. @throwawaymathMay 2019· in “Generating the Mandelbrot Set”

      When you begin with z = k i - 0.75, you can obtain an arbitrarily good approximation of pi by multiplying the p for which f_p(z) = z^2 + z diverges by k . The approximation increases in precision as k tends to 0. There's a neat video explaining it here: this video

      RecommendsView on HN
    3. @kpilMar 2017· in “The Mandelwat Set”

      I really enjoyed this video with Dr Holly Krieger of Numberphile. [LINK] There are a few more videos related to PI and The Mandelbrot set, Julia, etc. All nice to watch. this video

      RecommendsView on HN