Saddle roof

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The hyperbolic paraboloid is a doubly ruled surface and thus can be used to construct a saddle roof from straight beams.

A saddle roof is a roof form which follows a convex curve about one axis and a concave curve about the other. The hyperbolic paraboloid form has been used for roofs at various times since it is easily constructed from straight sections of lumber, steel, or other conventional materials.[1] The term is used because the form resembles the shape of a saddle.

Sometimes referred to as a hypar, the saddle roof may also be formed as a tensegrity structure.[2]

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.[3]


STL hyperbolic paraboloid model

See also[edit]


  1. ^ A Dictionary of Architecture, Fleming, Honour, Pevsner
  2. ^ Membrane Structures: Understanding Their Forms, Prof. Dr. Eng. M. Mollaert
  3. ^ Passmore, Augustine C.. "Saddle Roof". Handbook of technical terms used in architecture and building and their allied trades and subjects,. London: Scott, Greenwood, and Co.;, 1904. 303. Print.

External links[edit]