Curves

Curves are continuous lines or shapes that can bend and change direction smoothly, unlike straight lines. They are fundamental in mathematics and design, representing relationships or paths that evolve gradually. In geometry, curves can be simple, like a circle or an ellipse, or complex, like fractals. They help describe natural forms, engineering structures, and data trends. Understanding curves involves studying their properties, such as length, curvature, and how they change, providing insights into both natural phenomena and human-made systems.