APPLICATION OF FRACTAL GEOMETRY PRINCIPLES IN TRADITIONAL PERSIAN, OTTOMAN AND BOSNIAN SACRAL ARCHITECTURE ORNAMENTS

The fractal geometry is a relatively new research subject in theory of architecture, but its principles are in use for centuries. Among the witness are numerous architectural masterpieces around the world and various ornaments found in different cultures. This master thesis investigates the presence of fractal geometry principles in traditional sacral architecture ornaments of Persian, Ottoman and Bosnian architecture. Methodology used in the analysis of specific ornaments plates was the box counting technique via ImageJ fractal analysis software and FracLac plugin. Collected data was then analyzed comparatively and the results discussed in terms of existence of fractal geometry principles in the analyzed ornaments and similarity and relation between the ornaments from the above mentioned three cultures. The purpose of this study is to examine the presence and level of similarity between fractal dimensions of analyzed ornaments, which represent a consequence of cultural and civilizational connections. Keywords: ornaments, fractal geometry, Persian ornaments, Ottoman ornaments, Bosnian ornaments, sacral architecture, box countin