 A model of an ellyptic hyperboloid of one sheet A saddle surface is a smooth surface all points of which are saddle points. Image File history File links A hyperbolic paraboloid. ...
Image File history File links A hyperbolic paraboloid. ...
Plot of y = x3 with a saddle-point at (0,0). ...
The term derives of the peculiar shape of historical horse saddles, which curve both up and down. Binomial name Equus caballus Linnaeus, 1758 The horse (Equus caballus, sometimes seen as a subspecies of the Wild Horse, Equus ferus caballus) is a large odd-toed ungulate mammal, one of ten modern species of the genus Equus. ...
See: A saddle is a seat for a rider fastened to a horses back. ...
Classical examples of two-dimensional saddle surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid z=x2-y2 (which is often referred to as the saddle surface or "the standard saddle surface") and hyperboloid of one sheet. In mathematics, Euclidean space is a generalization of the 2- and 3-dimensional spaces studied by Euclid. ...
In mathematics, a paraboloid is a quadric, a type of surface in three dimensions, described by the equation: (elliptic paraboloid), or (hyperbolic paraboloid). ...
Hyperboloid of one sheet Hyperboloid of two sheets In mathematics, a hyperboloid is a quadric, a type of surface in three dimensions, described by the equation: (hyperboloid of one sheet), or (hyperboloid of two sheets) If, and only if, , it is a hyperboloid of revolution. ...
A classical third-order saddle surface is the monkey saddle. In mathematics, the monkey saddle is the surface defined by the equation z = x3 − 3xy2. ...
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