FRACTAL RHYTHMS OF VYSHYVANKA

Abstract

The article explores the innovative potential of applying fractal geometry and modern digital technologies for the development of Ukrainian embroidery design. The possibility of combining traditional patterns with mathematical algorithms to create new, unique ornaments is considered. The essence of the concept of "fractals" is revealed and how fractal geometry, with its principles of self-similarity and iteration, can be applied to the analysis and generation of embroidery patterns. It is explained that although embroidery is not a strict mathematical fractal, its ornaments demonstrate certain fractal principles. The possibilities of using digital tools, such as specialised software, graphic editors and programming languages, to create and integrate fractal elements into embroidery design are investigated. The possibilities of using fabric printing technologies and software for creating digital embroidery schemes are also considered. The advantages of fractal design for modern embroidery, including novelty, complexity, scalability, symbolic depth and the ability to attract new generations, are substantiated. The importance of combining the preservation of cultural heritage with creative experiments is emphasized, offering fractal design as a promising direction for the development of Ukrainian embroidery art. It is concluded that fractal design and digital technologies are promising areas for "rebooting" Ukrainian embroidery, making it more attractive to young people and adapted to modern visual trends. The importance of a harmonious combination of the mathematical beauty of fractals, the possibilities of digital technologies and the symbolism of traditional embroidery is emphasised.