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Have you ever moved a sofa around a tight 90 degree corridor and got stuck along the way? Well you aren’t alone in your struggles. Mathematicians have searched tirelessly for a solution and they may have finally solved the problem after 60 years. By treating our problems as a 2D simplification, the ‘Moving Sofa Problem’ intuitively utilizes 2d shapes and aims to maximize the area whilst traversing through an L-shaped corridor. The amazing progress made by talented mathematicians over generations has created a truly ingenious way to find the shape. In this video, we will explain what went into the sofa creation process and exactly what the perfect sofa looks like. ___________________________________________________________________________ Music and SFX: https://pixabay.com/sound-effects/ [16-BitGenesis]Opening Stage X - Mega Man X Corrupted[V2] Restaurant-wine-bar-whiskey-restaurant-music-269848 jazz-background-music-bar-restaurant-casino-mafia-whiskey-249670 jazz-background-music-bar-restaurant-whiskey-wine-intro-theme-261136 blues-music-149421 Little Samba - Quincas Moreira ___________________________________________________________________________ 0:00 Introduction 1:00 Mathematical Context 1:38 The Unit Square 1:52 The Unit Semicircle 2:27 Hammersley's Sofa 3:32 Reframing the Question (Gerver's Approach) 4:19 Gerver's Sofa 5:17 The Mathematically Perfect Sofa 5:35 Conclusion 6:14 End Card Desmos: Graphing Calculator https://www.desmos.com/calculator Davinci Resolve: https://www.blackmagicdesign.com/prod… Blender: https://www.blender.org/download/