Pi and the Mandelbrot Set - Numberphile
Numberphile3 HN recommenders · 2017–2019
881K views · explainer · evergreen · Uploaded 2015-10-01
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.
9:52Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown
19:42But what is the Fourier Transform? A visual introduction.
3Blue1Brown
18:40But what is a neural network? | Deep learning chapter 1
3Blue1Brown
24:26The Beauty of Bézier Curves
Freya Holmér
1:13:50The Continuity of Splines
Freya Holmér
1:00:43Jim Simons (full length interview) - Numberphile
Numberphile2
39:49Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
MIT OpenCourseWare
25:16But how does bitcoin actually work?
3Blue1Brown
3 comments from Hacker News
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]
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]
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]