Splitting Rent with Triangles | Infinite Series

2017-02-23

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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.

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Previous Episode - The Mathematics of Quantum Computers

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Mathologer’s NYT: Sperner's lemma defeats the rental harmony problem

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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: /youtube/video/kjBOesZCoqc

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