The Hidden Geometry of Origami

Folding paper is not just an art form; it is a powerful tool for solving complex mathematical equations. By precisely creasing a sheet, you can actually calculate solutions that simple geometry cannot reach.

Mathematicians have discovered that specific folding patterns can solve cubic equations, a feat impossible with just a compass and straightedge. This field explores flat-foldability, analyzing exactly which shapes can be collapsed into a flat state without tearing the material. These principles are now essential for engineering, helping scientists design space telescopes that fold compactly for launch. It turns out that a simple piece of paper is a sophisticated mathematical instrument.