FRACTALITY IN THE SHAPING OF ARCHITECTURAL OBJECTS
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Abstract
Subject: The article examines the structure of structures using the fractal dimension. This makes it possible to understand the possibilities of creating fractal elements of these unique buildings. The methods of determining the fractal dimension for an object, both on a plane and in space, are shown.
Materials and methods: The application of fractal geometry methods allows for more efficient using of digital technologies in the process of preservation and restoration of architectural heritage sites.
Results: The article focuses on the creation of digital models of famous architectural objects and other unique structures in Europe and Russia. The article discusses methods for calculating the fractal dimension of objects with different types of shaping. An example of a Gothic architecture structure with a high degree of fractality is given. This study provides examples of fractal structures. The main methods of fractal geometry are given, the interrelationships and patterns of fractality of architectural elements of structures are considered. Various methods of calculating the fractal dimension have been investigated. The search for the optimal solution was carried out when determining the fractional dimension by mathematical methods.
Conclusions: Fractal geometry and mathematical methods based on digital technologies help to find unique shapes when modeling the structure of an artificial environment, when creating architectural complexes. The vector of fractality development using fractional dimension is determined. The search for fractal structures in architecture allows you to create unique shapes.And the theory of fractals helps to embody these images in the works of architects.
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References
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