Fractal geometry is considered one of the structural patterns that depends on the use and application of generative and iterative designs on several levels, the most prominent of which is self-similarity. It can be regarded as one of the design movements that blends philosophy and mathematics and offers the notion of a close relationship between creative design and nature. Fractal geometry aim to achieve creativity and development in interior design through the use of repetitive and complex patterns such as composition through repetition and similarity on several levels, which allows designers to deviate from the norm and create interior designs based on the use of fractal patterns. by repeating patterns consistently on multiple levels that rely on gradation and repetition in scales, gives the interior spaces movement and rhythm to make them appear more dynamic and adds diversity. In addition to the creation of fractal designs, which have been used throughout history in various Islamic architectural structures, interior spaces, and furniture made of a various materials.
The research discusses the concept of fractal geometry and its most important features and characteristics, which played a major role in the development of interior design The research also deals with the beginning of the emergence of fractal architecture inspired by nature and its development throughout history, beginning with Gothic churches and Islamic architectural structures. Furthermore, there are additional design trends and styles that rely on fractal designs, which are dynamic.