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List Of Surfaces
This is a list of surfaces, by Wikipedia page. ''See also List of algebraic surfaces, List of curves, Riemann surface.'' Minimal surfaces * Catalan's minimal surface * Costa's minimal surface * Catenoid * Enneper surface * Gyroid * Helicoid * Lidinoid * Riemann's minimal surface * Saddle tower * Scherk surface * Schwarz minimal surface * Triply periodic minimal surface Ruled surfaces * Catalan surface * Right conoid * Conical surface * helicoid * Developable rollers ( sphericon, oloid) * Hyperboloid of one sheet (doubly ruled) * Hyperbolic paraboloid (doubly ruled) * Rational normal scroll * Regulus Non-orientable surfaces * Klein bottle *Real projective plane ** Cross-cap **Roman surface ** Boy's surface Quadrics *Sphere * Spheroid ** Oblate spheroid * Cone (geometry) * Ellipsoid *Hyperboloid of one sheet * Hyperboloid of two sheets * Hyperbolic paraboloid (a ruled surface) *Paraboloid Pseudospherical surfaces * Dini's surface *Pseudosphere Algebraic sur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surface (mathematics)
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. There are several more precise definitions, depending on the context and the mathematical tools that are used for the study. The simplest mathematical surfaces are planes and spheres in the Euclidean 3-space. The exact definition of a surface may depend on the context. Typically, in algebraic geometry, a surface may cross itself (and may have other singularities), while, in topology and differential geometry, it may not. A surface is a topological space of dimension two; this means that a moving point on a surface may move in two directions (it has two degrees of freedom). In other words, around almost every point, there is a '' coordinate patch'' on which a two-dimensional coordinate system is defined. For example, the surface of the Earth resembles (idea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |