Origami and mathematics

Origami is the art of folding paper into intricate shapes and structures without cutting or gluing. Mathematically, it involves understanding how folds transform a flat sheet into three-dimensional forms, governed by geometric principles and spatial reasoning. Researchers study origami to solve problems related to structural design, robotics, and engineering, as folding patterns often follow specific mathematical rules. These principles enable precise control over shape, strength, and functionality, illustrating how simple folding operations can lead to complex, stable structures—bridging art, geometry, and mathematical science.