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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 hyperbolic paraboloid , that mathematically, as a doubly ruled surface , can be constructed from two rows of straight beams.
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.
The hyperbolic paraboloid form has been used for roofs at various times since it is easily constructed from straight sections of lumber, steel, or other conventional materials. [1] The term is used because the form resembles the shape of a saddle. Sometimes referred to as a hypar, the saddle roof may also be formed as a tensegrity structure. [2]
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.
One-sheeted hyperboloids are used in construction, with the structures called hyperboloid structures. A hyperboloid is a doubly ruled surface; thus, it can be built with straight steel beams, producing a strong structure at a lower cost than other methods. Examples include cooling towers, especially of power stations, and many other structures.
Hugh Segar "Sam" Scorer FRIBA FRSA (2 March 1923 – 6 March 2003) was an English architect who worked in Lincoln, England and was a leading pioneer in the development of hyperbolic paraboloid roof structures using concrete. He also was involved in architectural conservation and research into the work of local 19th-century architects, as well ...
Doubly ruled surfaces are the inspiration for curved hyperboloid structures that can be built with a latticework of straight elements, namely: Hyperbolic paraboloids, such as saddle roofs. Hyperboloids of one sheet, such as cooling towers and some trash bins.
Designed by Lincoln-based architect Sam Scorer, the original structure consisted only of hyperbolic paraboloid - to serve as a petrol station: the building underneath was a later addition. The petrol station was one of a series of buildings designed by Scorer which included hyperbolic structures.