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- Surface abstract "In mathematics, specifically, in topology, a surface is a two-dimensional, topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball. On the other hand, there are surfaces, such as the Klein bottle, that cannot be embedded in three-dimensional Euclidean space without introducing singularities or self-intersections.To say that a surface is "two-dimensional" means that, about each point, there is a coordinate patch on which a two-dimensional coordinate system is defined. For example, the surface of the Earth is (ideally) a two-dimensional sphere, and latitude and longitude provide two-dimensional coordinates on it (except at the poles and along the 180th meridian).The concept of surface finds application in physics, engineering, computer graphics, and many other disciplines, primarily in representing the surfaces of physical objects. For example, in analyzing the aerodynamic properties of an airplane, the central consideration is the flow of air along its surface.".
- Surface thumbnail Saddle_pt.jpg?width=300.
- Surface wikiPageExternalLink surfaces-1-the-ooze-of-the-past.
- Surface wikiPageExternalLink zipproof.
- Surface wikiPageExternalLink zipproof.pdf.
- Surface wikiPageExternalLink surfaces_en.net.
- Surface wikiPageExternalLink 2-manifolds.
- Surface wikiPageExternalLink classification.html.
- Surface wikiPageExternalLink G_GRAMAIN-55.pdf.
- Surface wikiPageExternalLink jordan.
- Surface wikiPageExternalLink gallery.html.
- Surface wikiPageID "27865".
- Surface wikiPageRevisionID "605980870".
- Surface hasPhotoCollection Surface.
- Surface subject Category:Analytic_geometry.
- Surface subject Category:Differential_geometry_of_surfaces.
- Surface subject Category:Geometric_topology.
- Surface subject Category:Surfaces.
- Surface comment "In mathematics, specifically, in topology, a surface is a two-dimensional, topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball.".
- Surface label "Fläche (Mathematik)".
- Surface label "Oppervlak (topologie)".
- Surface label "Powierzchnia".
- Surface label "Superficie (matemática)".
- Surface label "Superficie".
- Surface label "Superfície".
- Surface label "Surface (géométrie)".
- Surface label "Surface".
- Surface label "Поверхность".
- Surface label "سطح".
- Surface label "曲面".
- Surface label "曲面".
- Surface sameAs Plocha.
- Surface sameAs Fläche_(Mathematik).
- Surface sameAs Superficie_(matemática).
- Surface sameAs Gainazal.
- Surface sameAs Surface_(géométrie).
- Surface sameAs Superficie.
- Surface sameAs 曲面.
- Surface sameAs 곡면.
- Surface sameAs Oppervlak_(topologie).
- Surface sameAs Powierzchnia.
- Surface sameAs Superfície.
- Surface sameAs m.06y67.
- Surface sameAs Q484298.
- Surface sameAs Q484298.
- Surface wasDerivedFrom Surface?oldid=605980870.
- Surface depiction Saddle_pt.jpg.
- Surface isPrimaryTopicOf Surface.