Hinged dissection

Hinged dissection is a method in geometry that involves cutting a two-dimensional shape into pieces that can be folded or hinged around common points, allowing the pieces to reconfigure into another shape without overlapping. The concept is often illustrated using paper cutouts, where the cuts create "hinges" at specific points, enabling the pieces to pivot or swing into place. A classic example of hinged dissection is transforming a square into a triangle or vice versa.