Auto-Parameterized Shape Grammar for Constructing Islamic Geometric Motif-Based Structures

Abstract

Abstract. The complex formation of Islamic Geometric Patterns (IGP) is one of the distinctive features in Islamic art and architecture. Many have attempted to reproduce these patterns in digital form, using various pattern generation techniques, in 2D. Shape grammars are an effective pattern generation method, providing good aesthetic results. In this paper we describe a novel approach in generating 3D IGP using the shape grammar method. The particular emphasis here is to generate the motifs (repeated units with the pattern) in 3D using parameterization. These can then be manipulated within the 3D space to construct architectural structures. In this work we have developed two distinctive Shape Grammars in 3D namely Parameterized Shape Grammar (PSG) and Auto-Parameterized Shape Grammar (APSG). Here the PSG generates the motifs and the APSG enables construction of the structures using the generated motifs. Both grammars are practically implemented as a 3D modelling tool within Autodesk Maya. The parameterization within each grammar is the key to generate both Islamic geometric motifs and Islamic geometric motif-based structures.

Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a review

“…Sayed et al [157] introduced a novel approach to generating threedimensional IGPs utilizing parametric shape grammar. The same authors followed this method in Sayed et al [158] to construct IGPs using the generated motifs and repeated units. Additionally, Moradzadeh and Nejad Ebrahimi [159] transformed two-dimensional IGPs into a new type of three-dimensional pattern, thanks to mathematics and geometry for contemporary usage.…”

Heritage-Inspired Interactivity: Traditional Geometric Patterns as an Inspiration for Interactive Architectural Prototypes

“…This exploratory paper examines the role of traditional geometric patternsspecifically related to Arabic and Islamic heritage -as an inspiration source for interactivity in architectural design. Most pedagogical approaches to integrate computational methods, coding and visual programming in the understanding of traditional geometric patterns in architecture are limited to the theoretical framework of shape grammars and rule-based design (Colakoglu et al, 2008;Abdelsalam, 2012;Sayed et al, 2016), with little attention to the analysis and understanding of the analogies and interpretations of tangible (and possibly intangible) heritage elements and inspirations. The aim of this paper is to extend the investigation of heritage-inspired geometric patterns in the design and making of interactive architectural prototypes, using the process and outcomes of an undergraduate senior-level elective course at the Department of Architecture at the American University in Cairo, Egypt.…”