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  2. Hyperboloid structure - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid_structure

    Hyperboloid lattice Adziogol Lighthouse by V.G. Shukhov near Kherson, 1911. In the 1880s, Shukhov began to work on the problem of the design of roof systems to use a minimum of materials, time and labor. His calculations were most likely derived from mathematician Pafnuty Chebyshev's work on the theory of best approximations of functions ...

  3. Hyperboloid - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid

    A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation. A hyperboloid is a quadric surface , that is, a surface defined as the zero set of a polynomial of degree two in three variables.

  4. List of hyperboloid structures - Wikipedia

    en.wikipedia.org/wiki/List_of_hyperboloid_structures

    This page is a list of hyperboloid structures. These were first applied in architecture by Russian engineer Vladimir Shukhov (1853–1939). Shukhov built his first example as a water tower ( hyperbolic shell ) for the 1896 All-Russian Exposition .

  5. Diagrid - Wikipedia

    en.wikipedia.org/wiki/Diagrid

    Base of 30 St Mary Axe, London, UK The world's first diagrid hyperboloid structure in Polibino, Russia MyZeil, Frankfurt, Germany CCTV Headquarters, Beijing, China. A diagrid (a portmanteau of diagonal grid) is a framework of diagonally intersecting metal, concrete, or wooden beams that is used in the construction of buildings and roofs. [1]

  6. Portal:Architecture/Selected article/2007-22 - Wikipedia

    en.wikipedia.org/wiki/Portal:Architecture/...

    Hyperboloid structures in architecture were first applied by Russian engineer Vladimir Shukhov (1853-1939). In the 1880s, Shukhov began to work on the problem of the design of roof systems to use a minimum of materials, time and labor.

  7. Category:Hyperboloid structures - Wikipedia

    en.wikipedia.org/wiki/Category:Hyperboloid...

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  8. On shell and off shell - Wikipedia

    en.wikipedia.org/wiki/On_shell_and_off_shell

    Points on the hyperboloid surface (the "shell") are solutions to the equation. Mass shell is a synonym for mass hyperboloid, meaning the hyperboloid in energy–momentum space describing the solutions to the equation:

  9. Gaussian curvature - Wikipedia

    en.wikipedia.org/wiki/Gaussian_curvature

    The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus. Gaussian curvature is an intrinsic measure of curvature , meaning that it could in principle be measured by a 2-dimensional being living entirely within the surface, because it depends only on distances that are measured “within” or along ...