Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile

With Dr Holly Krieger from Murray Edwards College, University of Cambridge.

Editing and animation by Pete McPartlan

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

NUMBERPHILE

Videos by Brady Haran

[prime]

It is so interesting how literally everything in math is connected and intertwined. This is really cool because if you don’t quite understand a certain topic or problem you can look at some things you do understand and connect it to what you are having trouble with.

[kevnar]

This video about Fibonacci numbers was as good as the last two combined!

[Kowzorz]

Everything about this video was great! The visuals were tuned perfectly. The explanation was thorough but succinct. And the enthusiasm of the presenter really brings it all together. Great work!

[raspi]

'B.' in Benoit B. Mandelbrot's name stands for Benoit B. Mandelbrot

[Tehom]

7:20 Sometimes called the "naive sum" as well. It's also how you construct the Stern-Brocot tree, which enumerates all the positive rational numbers without repeating any.

[simoncarlile]

Two of my favorite concepts in one video. Today is looking like a good day.

[meanmreen]

Every time I’m feeling particularly sharp or intelligent, I click on one of these videos and it instantly puts me back in my place 😅
Still, for my limited understanding in advanced math, it was quite interesting.

[OlafDoschke]

I love the little slot machine illustrating the iteration and the ping sound it makes. That's the way Mandelbrot sets should be computed.

[adavewiley]

Kudos to the animator. The scuttling mandelbug was a delight.

[CrucialMuzic]

Wow mind *BLOWN, * this is amazing
Who else just wanted it to keep on zooming in until infinity? [8:41]

[albertb]

It's pretty cool, that these two things have such a connection

[AntonioKowatsch]

Holly's laugh touches my cardioid :P

[aardvarkman]

The beauty of this math overwhelms me with emotion. Perhaps that seems strange, but the beauty of how all this works out makes me want to cry.

[wntu]

A new video of Dr. Holly, aka she who commands my heart, mind and soul. This is a great week indeed.

[trailtrs]

This is one of the very best layouts of this fractal relationship with the Fibonacci sequence

[Wayne_Robinson]

Despite being quite familiar with both the Fibonacci sequence and the Mandelbrot set, my mind was indeed blown. It's even more amazing how "number games" like this can relate to the physical world (at least the one we can perceive).

[gabrielthompson]

Test question: In the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, what would be the next number?
Answer: So you take a point called c on the complex plane...

[PlayTheMind]

Riemann: My zeta function hides primes
Mandelbrot: My set hides Fibonacci
Ramanujan: -1/12 _<drops mic>_

[maggiehernandezreni]

I used to hate Mathematics. Long story short I developed Arithmophobia since an early age. Until tonight I watched a video about Fibonacci Sequence that introduces me a total new prospective of Math into my life. And for the first time in a long time 33 years more or less (I'm actually 37) I understood Mathematics 😱🤯😍 And after that I found this video is like a double 🤯🤯 sorry I had to is literally mindblowing. I think I can start saying I HAD Arithmophobia. Thank you!

[RicardoRoblesJr]

Thanks for the incredibly fascinating video. The more I learn about the Mandelbrot set, the more I like it. Dr. Krieger is excellent as always.