AN EXPERT SYSTEM FOR THE DESIGN AND CLASSIFICATION OF ISLAMIC GEOMETRIC PATTERNS USING COMPUTER GRAPHICS

摘要

Islamic geometric patterns (IGP) have often presented an enduring historic reverence to those who have strived to present a sensible classification of these structures. They are complex, beautiful structures, which combine elements of art, with elements of mathematics, especially relating to geometric patterns. This article proposes an innovative approach to classify and design IGP using computer aided technologies. The researcher surveyed many existing methodologies regarding the classification of IGP like 7-frieze patterns, 17-wallpaper patterns theories and design approaches based on principles of classical gridding systems. The proposed methodology suggests a system which can design classification of a pattern (collection of unit patterns) and classification of a design (a collection of grids and geometric attributes). The Classification of a pattern consists of repeating the unit base pattern by isometric transformations (translation, mirroring, rotation and glide reflections) to generate a pattern that can be classified as 7-frieze patterns or the 17-wallpaper patterns. Classification of a design involves the normalization of the grids and geometries. In this paper, the researcher also presented an argument that those pattern theories are purely base models. The researcher has been successful in developing a new method of classification rightly validated by geometric and scientific analysis. The researcher succeeded in developing software that draws the grids of any IGP star/rosette design and displays its classification instantly. So, the approach can be considered as a measurable method of classification for any given Islamic geometric design. The software is enabled to detect and classify the IGP star/rosette sub-motif grid from its gridding system of classification which will allow the user to explore and design the sub-motif pattern, motif pattern, unit pattern and finally the pattern in x-y direction.