A hyperboloid is a three-dimensional geometric shape that can be classified into two types: one-sheeted and two-sheeted. The one-sheeted hyperboloid resembles a cooling tower or an hourglass, while the two-sheeted hyperboloid consists of two separate surfaces. Both types are defined by their unique mathematical equations and can be generated by rotating a hyperbola around its axis. Hyperboloids are important in various fields, including architecture and engineering, due to their structural strength and aesthetic appeal. They are often used in the design of towers, bridges, and other structures. The study of hyperboloids is also relevant in mathematics, particularly in the context of conic sections and quadric surfaces.