Pi and the Mandelbrot Set - Numberphile

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Since this was filmed, Holly has become a mathematics Lecturer at the University of Cambridge and the Corfield Fellow at Murray Edwards College.

NUMBERPHILE

Videos by Brady Haran

[jacoboking]

Pi is like that one uncle who just shows up out of nowhere in every scenario

[HansenSWE]

"This video features Dr Holly Krieger."

Viral.

[panda]

Holly: "...maybe the least efficient way possible to approximate pi"
Matt Parker: "challenge accepted"

[KonJamo]

You english speakers might not realize this: Mandelbrot actually means Almond bread...to use Almond bread to approximate Pi is a very funny approach to baking :D a fan from Berlin, GErmany

[Nilguiri]

It's amazing how pi can just pop out when you are least expecting it, innit?

[rivaldobox]

I really like how energetic she is when explaining things, it makes the video even better.

[SOCAKRKA]

but what is the connection? i would really love this to be expalined in depth. othervise very nice video

[yttrv]

Dr Krieger: Well, I've already used "c", whatever, I'm gonna call this point "c", too.
Gottsta love people like this.

[kevnar]

I created a game using vectors when I was young. I made a point in the center of a sheet of graph paper and called that "The Sun". It was basically just a source of gravity. Then I chose some other random point on the page and called that a "meteor". Then I assigned some arbitrary motion vector to the meteor. -2x, 1y or whatever. Then I'd move the meteor by that much. But every round, you have to adjust the motion vector, + 1 if you're x is negative, or -1 if your x is positive, and likewise with Y. The point was to simulate gravitation toward the sun and get the meteor into an orbit.

I tried all day to figure out numbers that would make the meteor go into a perfect circle, or at least an ellipse, but all I ever got were these strange, repeating wiggling patterns. Years later, I saw a video on Lissajou curves. Here I thought those curves in my oribits were a failure to create a circle, but all along they were something people were trying to find in and of themselves. It's amazing what curiosity and boredom produces.

[pokestep]

Wow these videos about the Mandelbrot set were great, I finally know what it actually is! Holly Krieger is also great, I loved to see her explain it all, thanks for that. I sure hope to see more in the future!

[uritibon]

"This is something that's like, totally natural to be interested in" - Dr Krieger

[theulair]

This is the first simple explanation of the Mandelbrot Set and how it is drawn that i have seen in my life. Thank you!

[zh]

Well, that is extraordinary. I never would have guessed. Will you post a link to an explanation of why this works?

[megamillionfreak]

She is so intelligent. And a great voice and presentation. I could listen to her for hours, days.

[tilmohnen]

Watch 3Blue1Brown's Video of aproximating pi with block collisions. There are also powers of 100 involved... I wonder whether its actually the same method in disguise...

[anraiduine]

Waaaa!! So cool!! What I find especially cool too is the fact that all functions (theoretically) eventually burst out, but the smaller the values, the longer they can be iterated and still remain within 2... It's an asymptote! With infinitely small values being infinitely iterable within the mandelbrot set! And to bring it back to the video, the greater the number of iterations, the closer they come to approximating pi! Insane!!!!

[totallyunmotivated]

That woma— I mean that handwriting is perfect. Very legible.

[sandeepsreehari]

How very interesting to see the link between Pi and the Mandelbrot set. It's really about taking particular values for C and Z. Thanks for the informative video.

[williamlavie]

Great video. I would have been interested to know why this method allows us to approximate pi though...

[BobStein]

Brady makes a good talk great with his graphics and just the right touch of comments and questions.