There is a close relationship between fractal geometry, Islamic decorations, and nature. This relationship is evident in fractal geometry, which emerged as an extension of the theory of creation in nature. This theory offered a new perspective on the workings of the cosmic system, which is far removed from regularity, consistency, and predictability. The importance of fractal geometry in design lies in its ability to bridge the gap between design and the decorative metal units and mathematics, as well as between nature and its properties, and to describe the complex forms it contains. For example, decorative metal units using a mathematical basis followed by a description of design decorative metal units involve developing a systematic research process based on identifying the basic grid, forming a multi-scale grid, developing a hybrid grid structure, and studying the effect of interference on the potential to increase structural strength, starting from the geometric patterns of Islamic art. The study explores the generative potential of the extracted fractal dimension as a design criterion for new forms. The shapes or decorative structural units and their repetition patterns represent the primary characteristic—those shapes and units created by the designer for geometric compositions with star-like, hexagonal, and other forms. Decorative structural units are often formed through creative processes. Further modifications to these structural elements, achieved by incorporating repetition through inlays or design units, enhance the approach to geometric form, granting flexibility and the ability to flow within the design of repetition for contrast, symmetry, and other effects. This is achieved by designing units that appear geometric shapes due to their simplification and their significant distance from natural forms. The research problem here focuses on the need to explore the nature of fractal geometry in Islamic art to shed light on its characteristics and patterns of design decorative structural units. It posits that its inspiration can be applied to various interior spaces as a novel approach to simple design and also focuses on understanding the relationship between nature within the decorative metal units of fractal geometry and Islamic art by utilizing the nature of fractal geometry in Islamic art to design simple decorative structural units, thus enriching the field of designing decorative metal units used in metalwork. The research hypothesis: The researcher posits that the concept of design in fractal geometry and Islamic art helps in constructing decorative designs and in finding simple design approaches. The importance of this research lies in revealing the structural and aesthetic foundations of repetition, exploring fractal geometry and Islamic art, and opening avenues for students to experiment and discover new relationships and innovative arrangements.
Islamic Art -Fractal Geometry - Self-similarity- Repetitive- Decorative Metal Units.
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