63 and -7/4 are special - Numberphile

Dynamical sequences, prime divisors and special exceptions.
More links & stuff in full description below ↓↓↓

Featuring Dr Holly Krieger from MIT.

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

[dhampirmike]

Seeing someone just freehand the general shape of a fractal like that is quite impressive.

[googlestore]

Every time Ms Holly laughs, a new kitten is born.

[jaimebenito]

I've got the feeling that, all of a sudden, a lot of people are going to become very interested in maths.

[kingditto]

How to get rich: live in the UK, sell brown paper and sharpies

[careernerd]

"So it's all Mandelbrot?"
"Always has been."

[lpcamargo]

Watching Numberphile is always awesome but sometimes also surprisingly relaxing too!

[stottification]

7/4 is a pretty rad time signature! I suppose -7/4 would mean the song has to be played in reverse.

[trevorhuff]

Man, if someone would've shown me this channel when I was in high school I would've liked math so much more. Maybe I'd be somewhere better than community college :(
Oh well, at least I've learned to love it now.

[elliottmcollins]

This was fascinating. Any more footage explaining what exactly the Mandelbrot set is would be great.

[jialixx]

Numberphile has become my favorite channel now, I watch it every day and can't stop. Thank you all for those awesome videos.

[geewilikers]

"It might be a harder question, depending on how specific you want to get." A truer statement never told. :)

[markmiller]

I have no idea what I just watched. But that lady’s enthusiasm and intelligence is amazing

[TheMrvidfreak]

We meet again, Mandelbrot set, and you never stop surprising me.

[johandenbakker]

It's moments like these that I'm proud to be studying math. This sounds a lot like the useless "tinkering" I did in highschool to get through the boring hours. Nice to know that there are very intelligent adult people who, instead of going "why would that ever be usefull", say "hey, this is peculiar. Let's see what happens when I do this".

[Tfin]

It seems like every number is special. What number is _not_ special? Because _that's_ the special one.

[Saber-tooth]

At the beginning of this video, it was stated how the series generated by f(x) = 2x + 1 was always equal to 2^n - 1. If you perform the function in binary, rather than decimal, it becomes clear why. The function f(x) = 10x + 1 [or f(x) = 10x + 9] would have a visually similar effect in decimal.

[clairespivak]

I love how f(x) = x^2 -2 gives you a square root sign when you plot the results

[Valtolife]

How to heck did she draw that graph without grid paper? She must be a wizard.

[Teathymeterror]

And for those wondering but too lazy to do the figuring, x^2 - 2 ends up being -2, 2, 2, 2, 2, 2, 2, etc.

[LittleCD]

Dr. Krieger seems like a good fit in Numberphile! Hopefully she does more videos in the future :)