Analysis of Gaudi surfaces at small deformations

Complex freeform structures are one of the most striking trends in contemporary architecture. In a variety of mathematical surfaces, there is a special kind, as known as Gaudi surfaces. Gaudi surfaces are used as elements of architecture and roof constructions. Including aesthetics, statics, scale and manufacturing technologies, it should point out the possibility of the mathematical analysis in the case of infinitesimal deformations as well as considering the rigidity of these surfaces using tensor calculus approach.