Properties and applications Paraboloid

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hyperbolic paraboloid

the hyperbolic paraboloid doubly ruled surface: contains 2 families of mutually skew lines. lines in each family parallel common plane, not each other. hence hyperbolic paraboloid conoid.


these properties characterize hyperbolic paraboloids , used in 1 of oldest definitions of hyperbolic paraboloids: hyperbolic paraboloid surface may generated moving line parallel fixed plane , crosses 2 fixed skew lines. property makes easy realize hyperbolic paraboloid concrete, , explains frequent use in modern architecture.


the sold fried snack food pringles potato chips resemble truncated hyperbolic paraboloid. distinctive shape of these chips allows them stacked in sturdy tubular containers, fulfilling design goal break less other types of chip.





























examples in architecture


st. mary s cathedral, tokyo
cathedral of saint mary of assumption, san francisco, california
saddledome in calgary, alberta, canada
london velopark
dogra hall, indian institute of technology delhi in new delhi, india




^ zill, dennis g.; wright, warren s. (2011), calculus: transcendentals, jones & bartlett publishers, p. 649, isbn 9781449644482 .
^ wyman, carolyn (2004), pringles potato chips: new use tennis ball cans , better homemade: amazing foods changed way eat, quirk books, pp. 47–49, isbn 9781931686426 .






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