Presenting a Method to Generate Existing and Novel Girihs (Islamic Geometric Patterns) for All Systems and Families Based on 7-Fold Patterns. (January 2023)

• Record Type: Journal Article
• Authors: Azizi Naserabad, Ali; Ghanbaran, Abdulhamid
• Is Part Of: Computer aided design. Volume 154(2023)
• Publication Date: 2023-01
• Subjects: Islamic art -- Islamic geometric patterns -- Symmetry groups -- 7-fold system; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2022.103418
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: Girih s (Islamic geometric patterns) are an example of graphic designs in architectural spaces. Some wonderful Islamic geometric patterns are produced by 7-fold polygonal sub-grid elements. In this paper, after examining 7-fold patterns, we will present a method based on the symmetry groups theory to construct 7N-point girih s. This method is based on a step-by-step process from constructing the minimal essential information (template motif) needed to generate a particular symmetry type within the fundamental region to replicating the unit girih in a two-dimensional plane based on a suitable net. Finally, we will present a notation system for the method of this paper consisting of generative parameters to construct girih s of the 7-fold system and other Bonner's systems classified into four families: acute, middle, obtuse, and two-point. Graphical abstract: Highlights: This paper aims to discover the generative parameters to create girihs for all systems (including the 7-fold system) and families (including the 2-point family). Our proposed method is based on the symmetry groups theory and is a rail-based method. In this paper, we have paid attention to the orientation of girihs which was not considered in previous works as a parameter.