Analytical Surfaces for Parametric Architecture In Modern Buildings and Erections

Abstract

In connection with the growing interest in the design, calculation and application of architectural structures and structures in the form of various smooth and composite surfaces for forming of buildings, erections, and building structures. The application of analytical surfaces is inculcated actively in parametric architecture. Parametric architecture is a unique style in which such concepts as sculpture, mathematics and architecture are interconnected. Parametric design in contrast to other styles has a relationship with mathematics. Digital design should take into account the relationship between the building being built, the environment and human factors. In the Academy of Engineering of Peoples' Friendship University of Russia, a classification of all existing analytical surfaces is worked out. It contains more than 600 surfaces, realized by the methods of computer graphics, and these surfaces are divided into 38 classes. The article provides a list of known analytical surfaces and each surface is illustrated by a photograph of only one real structure, outlined on this surface. Compound, polyhedral, fractal surfaces, and surfaces that cannot be given by analytical equations, are not presented in the paper. It turned out that only 43 of the 600 surface names described in the scientificliterature were used in the World.