What's so special about the Mandelbrot Set? - Numberphile

More links & stuff in full description below ↓↓↓

Holly Krieger has done a few Mandelbrot videos on Numberphile...

NUMBERPHILE

Videos by Brady Haran

[generalkitten]

This is the first and only video i have ever seen trying to explain Mandelbrot set and actually succeeded.

[brianholly]

Q: What does the “B.” In “Bernard B. Mandelbrot” stand for?
A: “Bernard B. Mandelbrot”

[OrangeC]

"The Mandelbrot Set is a geography of iterative stability" is my new catchphrase

[Planetarium-Goblin]

I took a class in complex dynamics... the Mandelbrot set and Julia sets are some of the most comforting things I’ve seen in maths. They’re artifacts of logic, but they’re also things of beauty. It’s wonderful.

[ocircles]

When he zoomed in and then flipped over from the Mandelbrot pic to Julia set and then zoomed out again.. Amazing.

[philamonhemstreet]

This isn't the video of a guy zooming in on the Mandelbrot we need. It's the one we deserve.

[midplanewanderer]

This was literally jaw-dropping. I'm almost brain-damaged when it comes to simple maths (tedious and boring to me), but the visualization here helped me to really appreciate what gets mathematicians high about their craft. It's poetry of the Gods...

[whoijacket]

20 years of caring about it, and I finally “get” the Mandelbrot Set.


Thank you.

[TheTurbinator]

OK, hands down this is THE BEST Mandelbrot Set video on all of youtube. It takes you from not even having to know math, to COMPLETELY understanding the Mandelbrot Set.

[heheh]

My head right now: Stable, unstable, stable stable, unstable

[garyb]

This is brilliant. One of the best explanations of what's happening in both sets that I've seen. Thanks Ben!

[HungryTacoBoy]

So, I've had the Mandelbrot set as my profile picture on here for nearly a decade and this is THE best video describing what the image actually means. Thanks, Numberphile! This was awesome. Kind of blew my mind a bit, too, so much so that I had to pause the video at around the 6-7 minute mark and check out the Geogebra links in the description to play around with it myself.

[adrianflo]

can i have a loop of him saying "stable, unstable". It was oddly calming.

[Darkmatter]

The fact that Julia and Mandelbrot had no modern computers made them use the only tool they had available, their imagination. That's how you come up with revolutionary ideas.
This was one of the best videos I have seen on the subject and for the first time I can say that I understand what's going on.

[mattheww]

Thank you for this explanation. It ‘clicked’ for me around 14:52 - realizing the infinite nature is because you can get infinitely closer to any point in the set without ever arriving to it - but it’s still a ‘real’ set of numbers that exhibit a geography based on stability. Awesome.

[bencatechi]

This is one of my favorite Numberphile videos ever. I've probably seen 90% of them but this tops them.

[mantasnoreika]

Zooming into the Mandelbrot Set:
*_How it feels to chew 5 gum_*

[Abdega]

13:05 “I don’t think YouTube needs *more* videos zooming in on the Mandelbrot Set”
No disrespect sir, but not only does YouTube need more Mandelbrot Set zoom ins,
It needs more of *YOUR* zoom ins

[winfordnettles]

In 1988, using a 386 based Windows PC, I built many Mandelbrot and Julia sets, one pixel at a time, and each image took a day or two to complete. Now, with processor speeds in the gigahertz and multicore processors working in parallel, each image takes milliseconds to complete. Was very interesting to watch the machine back then do the calculations and plot the pixels on the screen. Now, all the math is done in a flash. Shows how far we have come in technology. Still love the Mandelbrot images. They are seen everywhere in nature.

[DonVigaDeFierro]

Man, this seems so incredibly complicated, but when you get to visualize it, it's definitely not...

Now I take my hat off for those mathematicians who researched all of these crazy things without being able to visualize it as clearly as we do now.