Curve shapes are a type of geometric shape that can be described as having a curved line or surface. Examples of curve shapes include circles, ellipses, parabolas, and hyperbolas. The term 'esses' is an acronym for the four main types of curve shapes: Ellipse, Semicircle, Square, and Elliptical. These shapes are used in many areas of mathematics, engineering, and art. They are also used to create designs in architecture and landscape design.