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When the Gaussian Curvature is everywhere Negative, a Surface is called anticlastic and is
saddle-shaped. A Surface on which
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