Numberphile

Featuring James Grime. Check opportunities with Jane Street at https://www.janestreet.com/join-jane-street/ (episode sponsor) More links & stuff in full description below ↓↓↓ James Grime: https://www.singingbanana.com His YouTube channel: https://www.youtube.com/user/singingbanana More James on Numberphile: http://bit.ly/grimevideos Four Pages Are Indeed Necessary for Planar Graphs (paper): https://arxiv.org/abs/2004.07630 Play with the four page graph: http://be.cs.arizona.edu/map/1442/ Read more on book embedding: https://en.wikipedia.org/wiki/Book_embedding Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - https://www.akamai.com/company/corporate-responsibility/akamai-foundation NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation and Editing by Pete McPartlan Special error correction credits to Numberphile Society members Michael Colognori & Debbie Chakour Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9