The article shows the presence of proportional correspondence of the parts and the whole using the principles of fractal geometry in the natural objects and phenomena beauty concept formation. The objects of the artificial environment are studied for the formation of images using the mathematical models’ example for calculating natural objects with fractal properties.

One of the main directions in the application of mathematical methods in construction - is to create the complex objects using simple algorithms of fractal geometry with the use of computer technology. The use of fractal geometry methods to describe real systems, in particular, in the development of the architectural appearance of the city and the design of modern structures of the most amazing shape, will allow solving the problems of research and forecasting the urban environments development.

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