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Currently Playing: Splitting Rent with Triangles | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi You can find out how to fairly divide rent between three different people even when you don’t know the third person’s preferences! Find out how with Sperner’s Lemma. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode - The Mathematics of Quantum Computers https://www.youtube.com/watch?v=IrbJYsep45E Mathologer’s NYT: Sperner's lemma defeats the rental harmony problem https://www.youtube.com/watch?v=7s-YM-kcKME&t=24s Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) Sources and further references: Francis Su - Rent Division :: https://www.math.hmc.edu/~su/papers.dir/rent.pdf Cake-division :: https://www.jstor.org/stable/2974850 Secret Rent Division :: https://arxiv.org/abs/1701.04955 Secret Rent Division in Appendix :: https://arxiv.org/abs/1702.07325 NYT Article :: https://www.nytimes.com/2014/04/29/science/to-divide-the-rent-start-with-a-triangle.html NYT app to split rent :: https://www.nytimes.com/interactive/2014/science/rent-division-calculator.html 3Blue1Brown, Essence of Linear Algebra: https://www.youtube.com/watch?v=kjBOesZCoqc&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab Comments answered by Kelsey: Ayyy https://www.youtube.com/watch?v=IrbJYsep45E&lc=z12xjxrhfuewi33iu04cjhm45nmtdvugxec Chinatmani https://www.youtube.com/watch?v=IrbJYsep45E&lc=z12uw5sihy3yzt2y404ccbcznrqjvhsxgu00k Diwonk https://www.youtube.com/watch?v=IrbJYsep45E&lc=z13bgztpjm3nfl5if04cf1eganzhj1zgqio The JaredtheJaredlong https://www.youtube.com/watch?v=IrbJYsep45E&lc=z13shbvhyuyqhzp2h220cn4acoypxvvcn