The 60 Year Quest for the Perfect Sofa

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 Join Wrath of Math to get exclusive videos, lecture notes, and more:    / @wrathofmath   More math chats:    • Math Chats   Textbooks I Like! Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/4d5HbUQ Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd Algebra 1: https://amzn.to/3Z4SPvu Algebra 2: https://amzn.to/3LWC7XD Precalculus: https://amzn.to/4fO4On9 ★DONATE★ ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Outro music available for channel members. Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● TikTok:   / wrathofmathedu   ● X: https://x.com/wrathofmathedu Sources: https://arxiv.org/pdf/2411.19826 https://www.math.ucdavis.edu/~romik/m... https://www.math.ucdavis.edu/~romik/d... https://web.archive.org/web/200801071... https://blogs.ams.org/visualinsight/2... https://arxiv.org/pdf/2407.02587   / 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