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  2. List of hyperboloid structures - Wikipedia

    en.wikipedia.org/wiki/List_of_hyperboloid_structures

    The highest tensile structure in the world. Lee Valley VeloPark. a.k.a. London VeloPark 2011 Queen Elizabeth Olympic Park, East London United Kingdom: Hyperbolic paraboloid saddle roof on cycling centre arena Hopkins Architects, Grant Associates: Mae West: 2011 Munich Germany: Hyperboloid public art sculpture 52 m (171 ft) Rita McBride: San Clan

  3. Hyperboloid structure - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid_structure

    Antoni Gaudi used structures in the form of hyperbolic paraboloid (hypar) and hyperboloid of revolution in the Sagrada Família in 1910. [4] In the Sagrada Família, there are a few places on the nativity facade – a design not equated with Gaudi's ruled-surface design, where the hyperboloid crops up. All around the scene with the pelican ...

  4. Hyperboloid - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid

    In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes.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.

  5. Paraboloid - Wikipedia

    en.wikipedia.org/wiki/Paraboloid

    A hyperbolic paraboloid with lines contained in it Pringles fried snacks are in the shape of a hyperbolic paraboloid. The hyperbolic paraboloid is a doubly ruled surface: it contains two families of mutually skew lines. The lines in each family are parallel to a common plane, but not to each other. Hence the hyperbolic paraboloid is a conoid.

  6. Saddle roof - Wikipedia

    en.wikipedia.org/wiki/Saddle_roof

    The hyperbolic paraboloid is a doubly ruled surface and thus can be used to construct a saddle roof from straight beams.. A saddle roof is a roof form which follows a convex curve about one axis and a concave curve about the other.

  7. Hyperboloid model - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid_model

    Other models of hyperbolic space can be thought of as map projections of S +: the Beltrami–Klein model is the projection of S + through the origin onto a plane perpendicular to a vector from the origin to specific point in S + analogous to the gnomonic projection of the sphere; the Poincaré disk model is a projection of S + through a point ...

  8. Saddle point - Wikipedia

    en.wikipedia.org/wiki/Saddle_point

    Hyperbolic paraboloid A model of an elliptic hyperboloid of one sheet A monkey saddle. A saddle surface is a smooth surface containing one or more saddle points.. Classical examples of two-dimensional saddle surfaces in the Euclidean space are second order surfaces, the hyperbolic paraboloid = (which is often referred to as "the saddle surface" or "the standard saddle surface") and the ...

  9. List of map projections - Wikipedia

    en.wikipedia.org/wiki/List_of_map_projections

    The straight-line distance between the central point on the map to any other point is the same as the straight-line 3D distance through the globe between the two points. c. 150 BC: Stereographic: Azimuthal Conformal Hipparchos* Map is infinite in extent with outer hemisphere inflating severely, so it is often used as two hemispheres.