A hyperbolic paraboloid is a type of surface in three-dimensional space that has a saddle shape. It can be described mathematically by a specific equation, typically in the form z = \fracx^2a^2 - \fracy^2b^2 . This surface curves upwards in one direction and downwards in another, creating a unique geometric form. This shape is often found in architecture and design, as it can provide both aesthetic appeal and structural efficiency. Notable examples include the roofs of certain buildings, such as the Sydney Opera House and various modern sports arenas, where the hyperbolic paraboloid helps distribute weight effectively.