View source for Hyperbolic paraboloid structures

{{en|Buildings or structures with the shape of a {{w|Hyperbolic paraboloid}}}}
{{de|Bauwerke in Form eines [[w:de:Hyperbolisches Paraboloid|Hyperbolischen Paraboloids]]}}

The [[:en:hyperbolic paraboloid|hyperbolic paraboloid]] is a [[:en:doubly ruled surface|doubly ruled surface]] so it may be used to construct a [[:en:saddle roof|saddle roof]] from straight beams.

<gallery widths="250px" heights="200px">
Hyperparab-s.svg|Hyperbolic paraboloid with [[:en:Parabola|parabolas]] (black) und [[:en:Line (geometry)|lines]] (red, blue). If you cut it horizontally you will get [[:en:Hyperbola|hyperbolas]] (not shown)
Hyperbparab2-g-s.svg|Hyperbolic paraboloid with [[:en:Line (geometry)|lines]] (black)
</gallery>

==[[:Category:Hyperbolic paraboloid roofs|Hyperbolic paraboloid roofs]]==
{{en|If there is just one hyperbolic paraboloid you call them {{w|saddle roof}}s}}

=== [[:Category:Hyperbolic paraboloid concrete shell roofs|Hyperbolic paraboloid concrete shell roofs]] ===
{{see also cat|Thin-shell structures}}
<gallery>
 Image:Felix candela en Casino.jpg|{{w|Casino de la Selva}} by {{w|Félix Candela}}, Cuernavaca, Mexiko<br>(1950s)

 Image:Catalina Church (Tucson, Arizona) from NE 1.JPG|{{w|Catalina American Baptist Church}}, Tucson, USA<br>(1960–1961)
 Image:Church Army chapel 042.jpg|[[:Category:Church Army Chapel, Blackheath|Church Army Chapel, Blackheath]], [[:Category:Blackheath, London|Blackheath, London]], [[United Kingdom]], 1963.
 Image:Messehalle Schutow.jpg|Former exhibition hall with two hyperbolic paraboloids by {{w|Ulrich Müther}} in Rostock, Germany<br>(1966)
 Image:Rostock Gebäude und Turm.JPG|Restaurant {{c|Teepott Warnemünde}} by {{w|Ulrich Müther}} with three hyp. paraboloids in Rostock, Germany<br>(1967–1968)
 Image:Wrexham Waterworld Leisure and Activity Centre.JPG|[[:en:Architecture of Wales#Post-war architecture in Wales|Wrexham Swimming Baths]], a.k.a. Wrexham Waterworld Leisure and Activity Centre, [[:Category:Wrexham|Wrexham]], [[Wales]], [[United Kingdom]], 1969
 Image:Elbe-Hochwasser in Dresden-Juni 2013-117.JPG|{{c|Ruderzentrum Blasewitz}} by {{w|Ulrich Müther}} with four hyp. paraboloids in Dresden, Germany<br>(1970–1972)
Image:L'Oceanografic (Valencia, Spain) 01.jpg|Museum {{w|L'Oceanogràfic}} with 8 hyperbolic paraboloids by {{c|Félix Candela}}, Valencia, Spain<br>(1994–2002)
</gallery>

=== [[:Category:Hyperbolic paraboloid suspension roofs|Hyperbolic paraboloid suspension roofs]] ===
{{see also cat|Tensile structures}}
The first of all was the {{c|Dorton Arena}} by polish architect {{c|Maciej Nowicki}}. It was a model for many subsequent buildings with the same load-bearing system.
<gallery>
 Image:Dorton Arena West Side.JPG|{{c|Dorton Arena}}, Raleigh, North Carolina, USA, (1952)
 Image:Kongresshalle-Berlin-Building-from-above.jpg|{{c|Kongresshalle Berlin}} by {{c|Hugh Stubbins}}, a bad mixture of structural systems, Partial collapse 1980<br>(1956–1957)
 Image:Ludwigshafen Friesenheim Eberthalle3.jpg|{{c|Friedrich-Ebert-Halle}} in  Ludwigshafen, Germany by {{c|Roland Rainer}}, concrete suspension roof<br>(1962–1965)
 Image:Gothia Towers, Mässan och Scandinavium 02.JPG|[[:Category:Scandinavium|Scandinavium]] arena, [[Gothenburg]], [[Sweden]], (1971)
 Image:Pengrowth_Saddledome.jpg|[[:Category:Scotiabank Saddledome|Scotiabank Saddledome]] arena, [[Calgary]], [[Canada]], (1983)
 Image:London Velopark, 16 April 2012.jpg|[[:Category:London Velopark|Lee Valley VeloPark]] a.k.a. London VeloPark, cycling centre arena, [[:Category:Queen Elizabeth Olympic Park|Queen Elizabeth Olympic Park]], East [[London]], [[United Kingdom]], 2011
</gallery>

==[[:Category:Hyperbolic paraboloid structures|Hyperbolic paraboloid structures]]==
<gallery>
 Image:Hyperbolic-paraboloid.svg|The [[:Category:Hyperbolic paraboloids|hyperbolic paraboloid]] is a doubly [[:Category:Ruled surfaces|ruled surface]], and thus can be used to construct a [[:Category:Hyperbolic roofs|saddle roof]] from straight beams.
 Image:Hyperbolic-paraboloid.jpg|A [[:Category:Hyperbolic roofs|saddle roof]] is a [[:Category:Hyperbolic paraboloids|hyperbolic paraboloid]], that mathematically, as a doubly [[:Category:Ruled surfaces|ruled surface]], can be constructed from two rows of straight beams.
 Image:Pringles chips.JPG|[[:Category:Pringles|Pringles]] are examples of hyperbolic paraboloids.
 Image:Stapelchips.jpg|Stackable [[:Category:Pringles|Pringles]] chips.
 File:Pringles Chip.jpg|Stackable [[:Category:Pringles|Pringles]] chip.
 File:Pringles Paprika reflection.JPG|Stackable [[:Category:Pringles|Pringles]] chips and reflection.
</gallery>

==See also==
* [[:Category:Hyperboloid structures]]

[[Category:Hyperbolic paraboloid structures| ]]