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id ijac202220208
authors Refalian, Ghazal; Eloi Coloma; Joaquim N Moya
year 2022
title Formal grammar methodology for digital visualization of Islamic geometric patterns
source International Journal of Architectural Computing 2022, Vol. 20 - no. 2, pp. 297–315
summary In the oriental practice of art and architecture, and among the regions under their influence, Islamic geometricpatterns (IGPs) have been widely used, not only due to aesthetics and decoration but also to make it possibleto cover wide flat surfaces, curved surface of domes, and perforated surfaces of window and partitions, withperfectly tessellated shapes. However, with advances in time and technology, these techniques could notconnect to the new technologies and benefit from the capacities of digitalization. Recent progress in scienceand technology tends to open new doors to study geometrical patterns by digitalizing the old ones anddeveloping new variations. This study looks at formal grammar and computer science to introduce a newapproach to digital visualization of available IGPs, particularly, star patterns.We investigate the potentials of developing a re-writing system for simulation of IGPs to provide a flexibleplatform, which allows introducing IGP to CAD/CAM software without previous knowledge on their designor drawing techniques. This methodology allows designers to directly develop various scenarios of IGPapplications and implement them on related CAD/CAM tools.Formal language and grammar theories, based on applied mathematics are contributing to the advancementsof computer science and digital modeling. They can provide an opportunity to express relational definitionand written equivalents of the geometries by using strings and symbols. It is supposed that by using the formalgrammar frameworks, certain languages could be developed to visualize IGPs in a machine-friendly way, andconsequently, this computational interpretation of IGPs facilitates their application and further developments,for example, regards to digital fabrication.The presented method of IGP visualization is developed as a C#-based add-on for Grasshopper in Rhino3D,one of the main modeling tools used by architects and product designers
keywords Islamic geometric patterns, digital visualization, formal grammar, formal language, shape grammar
series journal
references Content-type: text/plain
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