Classification and Design of Islamic Geometric Patterns Using Computer Graphics

This paper presents an innovative method to classify and design Islamic geometric patterns IGPs using computer software. The researcher traced the existing systems associated with the classification of Islamic geometric patterns i.e. 7-frieze patterns and 17-wallpaper patterns theories. Also researcher traced the conventional design methodologies that are based on principles of classical gridding systems, which are hierarchical in nature. The researcher found out to distinguish between classification of a pattern (collection of unit designs) and classification of a design (collection of geometry and grids). Classification of a pattern involves repeating the unit-design by isometry formulas (translation, mirroring, rotation and glide reflections) to generate a pattern that can be classified as 7-freize patterns or the 17-wallpaper patterns. Classification of a design involves the normalization of their geometries and grids. In this paper the researcher presented an argument those pattern theories are purely base models. A refined classification with specific focus on the girding system of the star/rosette of IGPs was required. The task of presenting a new method of classification rightly demanded a geometrically and scientifically validated method. Researcher has been successful in developing such a method and presenting it in user-friendly software. Researcher generated software that draws the geometries and grids of any particular star/rosette design and displays its classification instantly. This approach resulted in a measurable method of classification for any given Islamic geometric designs. The software is facilitated to identify the star/rosette sub-motif-grid from its griding system of classification which will allow the user to explore a verity of designs on the sub-motif-grid generating the sub-motif-design, motif-design, unit-design and finally the pattern-design in x-y direction.