INFLUENCE OF THE GEOMETRICAL RESEARCHES OF RARE TYPE SURFACES ON DESIGN OF NEW AND UNIQUE STRUCTURES

Abstract

The aim of the paper is to illustrate using of analytical surfaces, i.e. surfaces, which can be given by vector, parametric or explicit equations, in real structures, i.e. in parametric architecture. Parametric architecture is a unique style in which such concepts as sculpture, mathematics, structural mechanics, and architecture are interconnected. Parametric design in contrast to other styles has a relationship with mathematics. This paper continues a series of works of the authors devoted to application of analytical surfaces in architecture and building, devoted to investigation of influence of researches on the geometry of surfaces on design of large-span shell structures and to application of interesting geometrical forms for unique erections. In the paper, a photo of only one erection having this form illustrates every analytical surface, which can be seen in forms of real erections. It turned out that only 42 of the 600 surfaces described in the literature were used in the World. For those who are interested in the mathematical side of design of surfaces, their computer modeling, or more detailed information about real structures in the form of the surfaces in question, a voluminous bibliography are given.