Saddle roof

A saddle roof is a hyperbolic paraboloid structure used as a roof. The form follows a convex curve about one axis and a concave curve about the other.

It is easily constructed from straight sections of lumber, steel, or other conventional materials. The saddle roof may also be formed as a tensegrity structure.

The term is used because the form resembles the shape of a saddle. Mathematically, a saddle shape contains at least one saddle point.

The historical meaning is a synonym for a gable roof, particularly a dual-pitched roof on a tower, also called a pack-saddle roof.