Featuring Ciprian Manolescu from Stanford University. More links & stuff in full description below ↓↓↓ Ciprian Manolescu: ~cm5/ Sphere art at the end of the video by Perfect Shapes in Higher Dimensions: Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - NUMBERPHILE Website: Numberphile on Facebook: Numberphile tweets: Subscribe: Videos by Brady Haran Animation by Pete McPartlan Patreon: Numberphile T-Shirts and Merch: Brady's videos subreddit: Brady's latest videos across all channels: Sign up for (occasional) emails: Special thanks to: Ben Delo Juan Benet Jeff Straathof Ken Baron Andy B Michael Dunworth James Bissonette Jubal John Jeremy Buchanan Steve Crutchfield Adam Savage Ben White Andrei M Burke RAD Donato Matthew Schuster Nat Tyce Ron Hochsprung Ubiquity Ventures John Zelinka Gnare Kannan Stanz Matt Tiblow Heather Liu Jordan W Oja Tracy Parry Ian George Walker Arnas Bernd Sing Valentin Alfred Wallace Alex Khein Mirik Gogri Doug Hoffman Xavier F. G. John Loach