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  2. Impervious surface - Wikipedia

    en.wikipedia.org/wiki/Impervious_surface

    Impervious surface percentage in various cities. The percentage imperviousness, commonly referred to as PIMP in calculations, is an important factor when considering drainage of water. It is calculated by measuring the percentage of a catchment area which is made up of impervious surfaces such as roads, roofs and other paved surfaces.

  3. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

  4. Implicit surface - Wikipedia

    en.wikipedia.org/wiki/Implicit_surface

    Implicit surface torus (R = 40, a = 15). Implicit surface of genus 2. Implicit non-algebraic surface (wineglass). In mathematics, an implicit surface is a surface in Euclidean space defined by an equation (,,) = An implicit surface is the set of zeros of a function of three variables.

  5. Parametric surface - Wikipedia

    en.wikipedia.org/wiki/Parametric_surface

    The simplest type of parametric surfaces is given by the graphs of functions of two variables: = (,), (,) = (,, (,)). A rational surface is a surface that admits parameterizations by a rational function. A rational surface is an algebraic surface. Given an algebraic surface, it is commonly easier to decide if it is rational than to compute its ...

  6. Differential geometry of surfaces - Wikipedia

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

    For any surface embedded in Euclidean space of dimension 3 or higher, it is possible to measure the length of a curve on the surface, the angle between two curves and the area of a region on the surface. This structure is encoded infinitesimally in a Riemannian metric on the surface through line elements and area elements.

  7. 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.

  8. Minimal surface - Wikipedia

    en.wikipedia.org/wiki/Minimal_surface

    Variational definition: A surface is minimal if and only if it is a critical point of the area functional for all compactly supported variations. This definition makes minimal surfaces a 2-dimensional analogue to geodesics , which are analogously defined as critical points of the length functional.

  9. Implicit curve - Wikipedia

    en.wikipedia.org/wiki/Implicit_curve

    Plane curves can be represented in Cartesian coordinates (x, y coordinates) by any of three methods, one of which is the implicit equation given above. The graph of a function is usually described by an equation = in which the functional form is explicitly stated; this is called an explicit representation.

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