The pseudosphere is a fascinating geometric surface that represents constant negative curvature—meaning that every point on the surface curves away from itself in all directions, similar to a saddle shape. It is generated by rotating a tractrix (a special curve where the tangent length to an asymptote is constant) around its asymptote. This process creates a surface that serves as a model for hyperbolic geometry, where the usual rules of Euclidean geometry no longer hold—such as the idea that mo