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Featuring Jayadev Athreya on a new discovery about platonic solids, in particular dodecahedra... Extra footage: • Yellow Brick Road and Dodecahedron (e... Yellow Brick Road Sticker and T-Shirts: https://teespring.com/yellow-brick-nu... 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/aul... More on Numberphile... Platonic Solids: • 5 Platonic Solids - Numberphile Platonics is higher dimensions: • Perfect Shapes in Higher Dimensions -... Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Learn more about MSRI in this interview David Eisenbud: • A Proof in the Drawer (with David Eis... We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: / numberphile Numberphile tweets: / numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation by Pete McPartlan Patreon: / numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: / bradyharan Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9