Featuring Jayadev Athreya on a new discovery about platonic solids, in particular dodecahedra... Extra footage: https://www.youtube.com/watch?v=hpNPPqm1EMc Yellow Brick Road Sticker and T-Shirts: null More links & stuff in full description below ↓↓↓ PAPER: A Trajectory from a Vertex to Itself on the Dodecahedron: https://arxiv.org/abs/1802.00811 PAPER: Platonic solids and high genus covers of lattice surfaces: https://arxiv.org/abs/1811.04131 More great resources on the project: http://userhome.brooklyn.cuny.edu/aulicino/dodecahedron/ More on Numberphile... Platonic Solids: https://www.youtube.com/watch?v=gVzu1_12FUc Platonics is higher dimensions: https://www.youtube.com/watch?v=2s4TqVAbfz4 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Learn more about MSRI in this interview David Eisenbud: https://www.youtube.com/watch?v=9y1BGvnTyQA 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 Math For America - https://www.mathforamerica.org/ 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 by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: null 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