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. Subsequently, more have been designed by other architects, including Le Corbusier, Antoni Gaudí, Eduardo Torroja, Oscar Niemeyer and Ieoh Ming Pei. The shapes are doubly ruled surfaces, which can be classed as: Hyperbolic paraboloids, such as saddle roofs Hyperboloid of one sheet, such as cooling towers Image:Ruled hyperboloid.jpg|A [[hyperboloid]] of one sheet is a [[doubly ruled surface]], and it may be generated by either of two families of straight lines. Image:Hyperbolic-paraboloid.jpg|The [[hyperbolic paraboloid]] is a [[doubly ruled surface]] so it may be used to construct a [[saddle roof]] from straight beams. Image:Hyperbolic-paraboloid.svg|The [[hyperbolic paraboloid]] is a [[doubly ruled surface]], and thus can be used to construct a [[saddle roof]] from straight beams. Image:Hyperbolic-paraboloid.jpg|A [[saddle roof]] is a [[hyperbolic paraboloid]], that mathematically, as a [[doubly ruled surface]], can be constructed from two rows of straight beams. Image:Pringles chips.JPG|[[Pringles]] are examples of hyperbolic paraboloids. Image:Stapelchips.jpg|Stackable Pringles Chips. Image:Ruled hyperboloid.jpg|A [[hyperboloid]] of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. Image:Four hyperboloid towers.jpg|Four images of hyperboloid towers. Image:First Shukhov Tower Nizhny Novgorod 1896.jpg|The [[Shukhov Tower in Polibino]], the world's first [[hyperboloid structure]], a water tower by [[Vladimir Shukhov]] at the [[All-Russia exhibition 1896|All-Russian Exposition]] in [[Nizhny Novgorod]], [[Russia]], 1896. Image:World First 1896 Hyperboloid Structure by Vladimir Shukhov in 2006.jpg|The [[Shukhov Tower in Polibino]] in 2006. Image:Worlds First Hyperboloid in Polibino photo by Arssenev.jpg|The [[Shukhov Tower in Polibino]] in 2009.