Featuring Jayadev Athreya on a new discovery about platonic solids, in particular dodecahedra... Extra footage: youtu.be/hpNPPqm1EMc Yellow Brick Road Sticker and T-Shirts: teespring.com/yellow-brick-numberphile More links & stuff in full description below ↓↓↓ PAPER: A Trajectory from a Vertex to Itself on the Dodecahedron: arxiv.org/abs/1802.00811 More great resources on the project: userhome.brooklyn.cuny.edu/aulicino/dodecahedron/ More on Numberphile... Platonic Solids: youtu.be/gVzu1_12FUc Platonics is higher dimensions: youtu.be/2s4TqVAbfz4 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile Learn more about MSRI in this interview David Eisenbud: youtu.be/9y1BGvnTyQA We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. www.simonsfoundation.org/outreach/science-sandbox/ And support from Math For America - www.mathforamerica.org/ NUMBERPHILE Website: www.numberphile.com/ Numberphile on Facebook: www.facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Subscribe: bit.ly/Numberphile_Sub Videos by Brady Haran Animation by Pete McPartlan Patreon: www.patreon.com/numberphile Numberphile T-Shirts: teespring.com/stores/numberphile Brady's videos subreddit: www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: www.bradyharanblog.com/ Sign up for (occasional) emails: eepurl.com/YdjL9

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