Folded Geometry

Folded geometry is a field that studies the properties and shapes formed when a flat surface, like paper or fabric, is folded along lines. It investigates how these folds change the surface’s overall structure, enabling complex shapes and designs. This area combines principles from geometry, origami (the art of paper folding), and mathematical modeling to analyze how folding transforms forms, maintain stability, and create specific geometrical patterns. Applications include engineering, architecture, and design, where understanding how surfaces fold can lead to innovative structures and materials that are both functional and aesthetically interesting.