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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. Algebraic surface - Wikipedia

    en.wikipedia.org/wiki/Algebraic_surface

    In mathematics, an algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers , an algebraic surface has complex dimension two (as a complex manifold , when it is non-singular ) and so of dimension four as a smooth manifold .

  5. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Download as PDF; Printable version ... Following is a list of shapes studied in mathematics ... the (three-dimensional) platonic solids tessellate the 'two ...

  6. List of complex and algebraic surfaces - Wikipedia

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

    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; Zariski surfaces, surfaces in finite characteristic that admit a purely inseparable dominant rational map from the projective plane

  7. 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.

  8. 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.

  9. Cubic surface - Wikipedia

    en.wikipedia.org/wiki/Cubic_surface

    In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry . The theory is simplified by working in projective space rather than affine space , and so cubic surfaces are generally considered in projective 3-space P 3 ...