Potential Usage of Fractal Geometry In Architecture

Abstract

From history to the present, research on numbers, ratios and formal interactions in the relationship between architecture and geometry has been intensively conducted, and searches for the ratios of structures to be built have continued in both classical and modern architecture. In the 1970s, mathematician Benoit Mandelbrot claimed that natural systems generally have characteristic geometric or visual complexity at more than one observation scale, and his geometric research, which began with Euclid, was developed towards the end of the 20th century in relation to irregular structures. The difficulty of modeling nature and the inadequacy of the geometry used and accepted as the most accurate (Euclid) in this regard are the biggest factors in this. At this point, fractal geometry offers solution opportunities for dynamic systems in irregular, geometrically structured forms, complex mathematical planes.

Within the scope of this study, a chronological framework has been drawn regarding the use of fractal geometry in architecture from the past to the present, specifically in the field of fractal geometry. In addition, the focus has been on the research of the areas of use of fractal geometry in parallel with developing technologies and the potentials it offers for the future. Many studies show that fractal formations have a clear reflection on architectural products. In this context, it is seen that fractal geometry is intensively studied under the headings of Organic and Biomorphic Building Design, Complex and Dynamic Building Design, Interactive and Responsive Designs, Sustainable and Energy Efficient Building Design, Aesthetic and Experiential Design. As a result, it is thought that as our understanding of technology and fractal geometry continues to advance, innovative and impressive applications in architecture and urban design will increase.