Pi and the Mandelbrot Set - Numberphile

Numberphile · 881.1K views · 2015-10-01 · 7:56

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Overview

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

On Hacker News

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

Recommended by 3 HN people across 3 months · HN mentions 2017–2019

Topics

Recreational & visual math Pure mathematics

What people said

elamje · 2019-09 · Strong recommendation
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. [VIDEO]
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throwawaymath · 2019-05 · Recommendation
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: [VIDEO]
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kpil · 2017-03 · Recommendation
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. [VIDEO]
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Sources

Video by Numberphile, played through YouTube.

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