Extended math version:
A version for Dummies:
More links & stuff in full description below ↓↓↓

This video features Lisa Goldberg, an adjunct professor in the Department of Statistics at University of California, Berkeley.

Support us on Patreon:

NUMBERPHILE
Website:
Numberphile on Facebook:
Numberphile tweets:
Subscribe:

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI):

Videos by Brady Haran

Brady’s videos subreddit:

Brady’s latest videos across all channels:

Sign up for (occasional) emails:

Numberphile T-Shirts:
Other merchandise:

Rubik’s Cube videos:
Knight’s Tour: