Curves and Surfaces

Curves and surfaces are mathematical concepts used to describe shapes. A curve is a continuous line that can be open or closed, like a circle or a wave. It has length but no thickness. A surface is a two-dimensional shape that encloses a volume or extends infinitely, such as a sphere or a plane. These ideas help us analyze and model objects in geometry, computer graphics, and engineering, allowing precise description of complex forms. Essentially, curves are the "lines" and surfaces are the "skins" that define the boundaries of three-dimensional shapes.