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When the Gaussian Curvature $K$ is everywhere Negative, a Surface is called anticlastic and is saddle-shaped. A Surface on which $K$ is everywhere Positive is called Synclastic. A point at which the Gaussian Curvature is Negative is called a Hyperbolic Point.

See also Elliptic Point, Gaussian Quadrature, Hyperbolic Point, Parabolic Point, Planar Point, Synclastic

© 1996-9 Eric W. Weisstein