CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search Not to be confused with Hyperbolic paraboloid . Hyperboloid of one sheet Common conical surface Hyperboloid of two sheets In mathematics , a hyperboloid is a quadric – a type of surface in three dimensions – described by the equation (hyperboloid of one sheet), or (hyperboloid of two sheets). Both of these surfaces asymptote to the same conical surface as x or y become large: These are also called elliptical hyperboloids. If and only if a = b , it is a hyperboloid of revolution, and is also called a circular hyperboloid. 1 Cartesian coordinates 2 Generalised equations 3 Properties 4 In more than three dimensions 5 Hyperboloid structures 6 Relation to the sphere 7 See also 8 References 9 External links Cartesian coordinates [ edit ] Animation of a hyp...