Studying the status of fractal geometry in art and its appearance in artwork

Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry. It thought that Euclid's system is the only description of the world until the nine-teenth century. Later it became clear that Euclidean geometry has no pattern for such cases as chaotic phenomena tree, beach, economics, history and…. .There- fore, non-Euclidean geometries, such as fractal geometry, were created. The Pol-ish mathematician, Benoit Mandelbrot, put forward one of the proposed theories of mathematics from 1861 as a new shape of geometry named Geometry without size or fractal. The geometry results from the chaos theory and its graphical grasp and from new branches of mathematics introducing a new concept of the physical dimension and concepts such as “self-similar” and "self- tendency" that have shown unique flexibility in the face of interpretation and simulation of various forms of nature. The chaos theory like quantum and relativity theories arose due to the failure of previous determinist scientific approaches to explain many natural events. The chaos theory and fractal geometry have found wide ap-plications, including in the human sciences, arts, computer graphics, and artistic analysis. In this study, we are looking for applications of fractal in art proposing the main question in which part of the art can the trace of fractal geometry be seen? Dedicated resources about fractals and art are scattered and most of them are available as articles. To collect the required data, a library method was used, and for data analysis relied on descriptive methods.