Two mathematicians have proved a long-standing conjecture that is a step on the way toward finding the worst shape for packing the plane. For centuries, mathematicians suspected that hexagonal tiles ...

For decades, mathematicians tried to come up with the optimal sofa shape to move around a corner. Post-doctoral student Jineon Baek posted a 100-page proof that claims to solve the problem. In a scene ...

A new proof reveals the answer to the decades-old “moving sofa” problem. It highlights how even the simplest optimization problems can have counterintuitive answers. If you’ve ever moved into a new ...