Urban Environment and the Theory of Deterministic Chaos

Abstract

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.

Methods of mathematical modeling and urban space organization

“…10-12). To set a fractal structure means to set the principle of development, the law of changing the form, the very organization of an object [19,20]. Fractals in the urban space create a holistic look, which ensures the unification of objects, the interaction of which ensures the development of subsequent trends in connection with the previous one.…”

Harmony and disharmony as the architectural appearance features of the city

“…A complex composition combines symmetry and asymmetry, harmony and disharmony, straight or curved continuous lines in the design and fractality [15][16][17][18]. In modern architecture, all these properties are most often found, creating a generally unique look [20,21].…”

“…The use of asymmetric forms in architecture introduces some imbalance in the overall plan of the structure, but if the measures and methods of fractal geometry are observed, unique buildings can be created. The subordination of the architectural ensemble parts creates structures that have a harmonious appearance [5,16,20]. Buildings should not only have harmonious forms, but also harmoniously fit into the urban look and natural environment.…”