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- Saddle_surface abstract "A saddle surface is a smooth surface containing one or more saddle points. The term derives from the peculiar shape of historical horse saddles, which curve both up and down.Classical examples of two-dimensional saddle surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid (which is often referred to as the saddle surface or "the standard saddle surface") and the hyperboloid of one sheet. The Pringles potato chip or crisp is an everyday example of a hyperbolic paraboloid shape.Saddle surfaces have negative Gaussian curvature which distinguish them from convex/elliptical surfaces which have positive Gaussian curvature. A classical third-order saddle surface is the monkey saddle.The Ph.D. thesis of Grigori Perelman, titled "Saddle surfaces in Euclidean spaces," was devoted to saddle surfaces.".
- Saddle_surface thumbnail HyperbolicParaboloid.png?width=300.
- Saddle_surface wikiPageID "6617890".
- Saddle_surface wikiPageRevisionID "592252493".
- Saddle_surface hasPhotoCollection Saddle_surface.
- Saddle_surface subject Category:Multivariable_calculus.
- Saddle_surface subject Category:Surfaces.
- Saddle_surface type Artifact100021939.
- Saddle_surface type Object100002684.
- Saddle_surface type PhysicalEntity100001930.
- Saddle_surface type Surface104362025.
- Saddle_surface type Surfaces.
- Saddle_surface type Whole100003553.
- Saddle_surface comment "A saddle surface is a smooth surface containing one or more saddle points. The term derives from the peculiar shape of historical horse saddles, which curve both up and down.Classical examples of two-dimensional saddle surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid (which is often referred to as the saddle surface or "the standard saddle surface") and the hyperboloid of one sheet.".
- Saddle_surface label "Saddle surface".
- Saddle_surface label "Sattelfläche".
- Saddle_surface label "Zadeloppervlak".
- Saddle_surface label "Седловая поверхность".
- Saddle_surface label "سطح سرجي".
- Saddle_surface sameAs Sattelfläche.
- Saddle_surface sameAs Zadeloppervlak.
- Saddle_surface sameAs m.0gd_xy.
- Saddle_surface sameAs Q1753352.
- Saddle_surface sameAs Q1753352.
- Saddle_surface sameAs Saddle_surface.
- Saddle_surface wasDerivedFrom Saddle_surface?oldid=592252493.
- Saddle_surface depiction HyperbolicParaboloid.png.
- Saddle_surface isPrimaryTopicOf Saddle_surface.
