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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. 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.

  6. 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.

  7. Hyperbolic geometry - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_geometry

    A triangle immersed in a saddle-shape plane (a hyperbolic paraboloid), along with two diverging ultra-parallel lines. In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:

  8. Ruled surface - Wikipedia

    en.wikipedia.org/wiki/Ruled_surface

    The hyperbolic paraboloid and the hyperboloid of one sheet are doubly ruled surfaces. The plane is the only surface which contains at least three distinct lines through each of its points (Fuchs & Tabachnikov 2007). The properties of being ruled or doubly ruled are preserved by projective maps, and therefore are concepts of projective geometry.

  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.