Shape Grammar of Geometric Islamic Ornaments

Shape grammars are the algorithmic systems used to analyze existing designs or create new ones. In spite of using text or symbols to express abstract representations, shape grammars aid to create novel designs through computational effort with shapes and rules. Many probabilities of rule selections and applications of these rules may generate emergent design solutions or create new design objectives. This paper aims to present the characteristics, shape grammar rules and historical background of geometrical ornaments in Islamic culture and to point out the possibilities of mathematics of symmetry. The knowledge presented in this paper can be used to generate new depictions and to gain new application areas like typography, wallpaper, landscape, façade design, tiling, jewelry, and textile designs. Even, these types of shape grammar studies can be used to open a novel approach as in Jean Nouvelis “Arab World Institute” in Paris. The role of shape grammar analysis of geometrical Islamic ornaments explained in this paper is to increase the efficiency of architectural design education by facilitating the formal understanding of historical patterns. Novel use of shape grammars in education can enrich the designeris ability to generate original designs. In this paper variants of Islamic ornaments are created with a CAAD program. A selected geometrical bezeme (ornament) from Islamic ornamental design is generated by encoding with a computer programming language. According to the generated bezeme, interaction scenario is as follows: Computer has the main control over grammar application. Only, some of the rules can be selected by the user. Varieties of this ornament are generated randomly through their line weight, line colors, filling types and filling colors. The shape grammar rules outlined in this paper are simple, but the resulting figures can be very inspiring. Furthermore, the endless potential for future design innovations is unlimited