This is the biggest sofa you can fit around a corner, according to a mathematician

Let's hope your couch is shaped like an old-fashioned telephone receiver. A graphical representation of what a real Gerver's sofa might look like. Breakthroughs, discoveries, and DIY tips sent every weekday. If you've ever struggled to squeeze a couch around a tight corner while moving into a new apartment, you'll probably find that the pure mathematics problem known as the "sofa problem" is incredibly relatable. The question seeks to find a maximum value for the area of a sofa that can slide around a 90-degree corner in a corridor of a given width.