Influence of the geometrical researches of ruled surfaces on design of unique structures

Aims of research. Due to the growing interest in the design, calculation and application of architectural structures and structures in the form of a variety of smooth and composite surfaces, it is interesting to illustrate the use of analytical surfaces, i.e. surfaces that can be defined by vector, parametric or explicit equations, in parametric architecture. Methods. Parametric design unlike other styles has a relationship with mathematics. This article continues the author’s series of works devoted to the application of analytical surfaces in architecture and engineering structures, the study of the influence of studies on the geometric of ruled surfaces on the creation of unique projects of large-span shell structures and buildings. The article provides a list of known analytical surfaces, and each surface is illustrated by a photo of only one real structure, outlined on this surface. Results. It turned out that only degenerate unfolding surfaces described in the scientific literature found application in the world. For those who are interested in the mathematical side of the design of analytical surfaces, their computer modeling, or more detailed information about the real structures in the form of the surfaces under consideration is a bibliography of 20 items.