Moving sofa problem
= Moving sofa problem
{wiki=Moving_sofa_problem}
The Moving Sofa Problem is a classic problem in geometry and mathematical optimization. It involves determining the largest area of a two-dimensional shape (or "sofa") that can be maneuvered around a right-angled corner in a corridor. Specifically, the problem asks for the maximum area of a shape that can be moved around a 90-degree turn in a hallway, where the width of the hallway is fixed.