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Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the hyperboloid geometry's structural strength is used to support an object high above the ground. Hyperboloid geometry is often used for decorative effect as well as structural economy.
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 .
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.
Here’s the fascinating history of Art Deco, how to tell if a structure has Art Deco elements, and where to see the most iconic Deco buildings of all time.
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]
For example, a cone is formed by keeping one point of a line fixed whilst moving another point along a circle. A surface is doubly ruled if through every one of its points there are two distinct lines that lie on the surface. The hyperbolic paraboloid and the hyperboloid of one sheet are doubly ruled surfaces.
A saddle roof is a roof form which follows a convex curve about one axis and a concave curve about the other. 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 ]
Most of the cathedral is below ground, with only the 70-meter (230 ft) diameter 42-meter (138 ft) roof of the cathedral, the ovoid roof of the baptistry, and the bell tower visible above ground. The shape of the roof is based on a hyperboloid of revolution with asymmetric sections. The hyperboloid structure consists of 16 identical concrete ...