The moving sofa problem was introduced by Leo Moser in 1966. Since then, many have tried to solve it - finding the biggest sofa that can be moved through a right angled hallway. For half a century mathematicians have failed to solve the problem, but only days ago a PhD thesis was published on arxiv.org by Jineon Baek, claiming to finally put an end to the sofa problem and establishing Gerver's sofa as the optimal solution. This is the story of the moving sofa problem. What do you think? Has the moving sofa problem finally been solved? #maths #mathproblems #mathematics
Baek's Solution to the Moving Sofa Problem: https://arxiv.org/pdf/2411.19826
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Sources:
https://arxiv.org/pdf/2411.19826
https://www.math.ucdavis.edu/~romik/movingsofa/
https://www.math.ucdavis.edu/~romik/data/uploads/papers/sofa.pdf
https://web.archive.org/web/20080107101427/http://mathcad.com/library/constants/sofa.htm
https://blogs.ams.org/visualinsight/2015/01/15/hammersley-sofa/
https://arxiv.org/pdf/2407.02587
https://www.reddit.com/r/math/comments/1h4om4s/solution_to_the_moving_sofa_problem_claimed/
0:00 Intro
0:52 The Moving Sofa Problem
2:48 The Square
4:00 The Semicircle
5:20 Hammersley's Sofa
12:53 Gerver's Sofa
16:10 Is Gerver Optimal?
18:44 Baek's Solution