Mathematicians Edge Closer to Solving the 'Sofa Problem'

Mathematician Jineon Baek has potentially solved the "sofa problem," a 60-year-old mathematical puzzle about the largest sofa shape that can navigate a right-angled hallway corner. Baek's solution, posted on ArXiv, confirms that the maximum area for such a sofa is 2.2195 units, aligning with Joseph Gerver's 1992 lower bound. The proof, which involves complex geometry and movement calculations, awaits peer review to confirm its optimality.