Curved spaces refer to geometric structures that deviate from the traditional flat surfaces described by Euclidean geometry. In these spaces, the rules of distance and angles change, leading to fascinating properties such as the ability to have parallel lines that converge or diverge. This concept is essential in understanding the universe's shape and behavior, particularly in the context of General Relativity. In curved spaces, the familiar notions of straight lines and angles are replaced by geodesics, which are the shortest paths between points on a curved surface. This idea is crucial in various fields, including Physics, Astronomy, and Computer Graphics, where modeling complex shapes and understanding the fabric of space-time is necessary.