Architects of the past widely used the principle of fractal structure. Building designs are separate elements that are self-similar objects. The article presents examples of various unique structures of the past and present. The modern approach to the development of fractal architecture allows architects to create wonderful structures, search for the most unusual forms and harmony of orderly structures and dynamics of chaos.

One of the main directions in the application of fractal geometry is to create complex objects using simple algorithms using computer technology. The use of fractal geometry methods and the theory of deterministic chaos to describe real systems, in particular, in the development of the architectural appearance of the city, will allow solving problems of research and forecasting the development of the urban environment.

Reinforced concrete elements of structures in the form of columns, beams, ceilings are widely used in the construction of buildings and structures of industrial and civil construction. In most cases, the columns serve as supports for other building elements, for example, crossbars, slabs, girders, beams. One of the cycles of the work of reinforced concrete structures is the state of their repair and reconstruction, including the stages of strengthening the elements. There is a problem of strengthening of reinforced concrete columns. The article deals with the issue of reinforcing columns and other structural elements having a cylindrical surface, with polymeric composite materials in the form of carbon fiber lamellae. The use of composite materials allows to increase the service life and strength of reinforced concrete structures used in construction.