The Aesthetics of Employing the Golden Ratio in the Distribution of Decorative Units within Textile Design

The textile design in woven fabrics depends on the repetition and continuity of the decorative units used within the space of the textile design, especially in the upholstery fabrics that are used according to their purpose and functionality.

The golden ratio is based on scientific rules and foundations that have been deleted in many researches and studies in various fields of arts, which gave works of art with high beauty and cultural values, including what appeared in many ancient civilizations (ancient Egyptian civilization - Greek civilization...).

By studying the theory of the golden ratio and the numerical sequence, we find that there is a relationship between this theory and the foundations of textile design in various upholstery fabrics, which depend on repetition, continuity, and forms generated from repetitive units.

In this research, an analytical study was made of how to benefit from the theory of the golden ratio with multiple arithmetic sequences on the textile design with repeated decorative units used in the production of upholstery fabrics.

Showing a number of design ideas based on the theory of the golden ratio, with the help of decorative units from the Islamic civilization, and how to show various repetitions within the space of a single textile design, resulting from the change in the number of the arithmetic sequence of the golden ratio.

Reaching a set of mathematical relations that serve the idea of the research, and give a number of different repetitions for the same decorative unit using digital design programs, which affects the number of repetitions generated through the arithmetic relations elicited in this research, and finding mathematical equations to determine the number of possibilities that can be obtained.

It was found that the number of differences that we get from repeating the decorative unit within the textile design varies if the decorative unit used in the design is symmetrical than if the decorative unit used in the design is not symmetrical.

Where it was found that