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  2. Surface (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Surface_(mathematics)

    A sphere is the surface of a solid ball, here having radius r. In mathematics, a surface is a mathematical model of the common concept of a surface.It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line.

  3. List of surfaces - Wikipedia

    en.wikipedia.org/wiki/List_of_surfaces

    This is a list of surfaces in mathematics. They are divided into minimal surfaces, ruled surfaces, non-orientable surfaces, quadrics, pseudospherical surfaces, algebraic surfaces, and other types of surfaces.

  4. Surface (topology) - Wikipedia

    en.wikipedia.org/wiki/Surface_(topology)

    An open surface with x-, y-, and z-contours shown.. In the part of mathematics referred to as topology, a surface is a two-dimensional manifold.Some surfaces arise as the boundaries of three-dimensional solid figures; for example, the sphere is the boundary of the solid ball.

  5. Differential geometry of surfaces - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry_of...

    In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces [a] with various additional structures, most often, ...

  6. Surface - Wikipedia

    en.wikipedia.org/wiki/Surface

    A sphere is the surface of a solid ball, here having radius r. In mathematics, a surface is a mathematical model of the common concept of a surface. It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line.

  7. Manifold - Wikipedia

    en.wikipedia.org/wiki/Manifold

    The Klein bottle immersed in three-dimensional space The surface of the Earth requires (at least) two charts to include every point. Here the globe is decomposed into charts around the North and South Poles. In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

  8. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    25 Geometry and other areas of mathematics. 26 Glyphs and symbols. 27 Table of all the Shapes. ... (saddle-like surface for 3 legs.) Torus; Dupin cyclide (inversion ...

  9. List of complex and algebraic surfaces - Wikipedia

    en.wikipedia.org/wiki/List_of_complex_and...

    Endrass surface, a certain surface of degree 8 with 168 nodes; Sarti surface, a certain surface of degree 12 with 600 nodes; Quotient surfaces, surfaces that are constructed as the orbit space of some other surface by the action of a finite group; examples include Kummer, Godeaux, Hopf, and Inoue surfaces