How do 3D animated characters look so smooth? Pixar researcher Tony DeRose explains - with mathematics. Extra footage: youtu.be/2NzTAaYgk4Q Links below... Pixar Research: graphics.pixar.com/research/ Tony DeRose papers: bit.ly/DeRosePapers Ed Catmull's paper: bit.ly/1stJNht NUMBERPHILE Website: www.numberphile.com/ Numberphile on Facebook: www.facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: www.patreon.com/numberphile Brady's videos subreddit: www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: www.bradyharan.com Sign up for (occasional) emails: eepurl.com/YdjL9