11 years ago
To Divide the Rent, Start With a Triangle
Sperner’s lemma can help us find a fully labeled triangle, but how does that divide rent? Building on the work of two other mathematicians, Forest Simmons and Michael Starbird, Dr. Su realized that the small, fully labeled triangle could represent the rooms and prices in a hypothetical apartment. Based on people’s decisions to label the triangles at each interior corner, an algorithm could be used to follow a winding path through an infinite field...
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