List of hyperboloid structures

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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

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  A hyperboloid of one sheet is a doubly ruled surface, and it may be generated by either of two families of straight lines.
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  The hyperbolic paraboloid is a doubly ruled surface so it may be used to construct a saddle roof from straight beams.