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year 14, Issue 39 (10-2024)                   mmi 2024, 14(39): 107-121 | Back to browse issues page


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Hayati H, Akbari H, Moradi M. Proposing a Method to Project Persian Girih Tiles on Free-Form Surfaces (Case Study: The Ten-Ray Acute Girih). mmi 2024; 14 (39) : 6
URL: http://mmi.aui.ac.ir/article-1-1478-en.html
1- University of Qom , hamedhayaty@yahoo.com
2- University of Qom
Abstract:   (1226 Views)
Geometry is the primary indicator of Persian-Islamic architecture and art. All of the ornamental features in traditional architecture containing, brick works, plaster works, or any tiling are constructed based upon geometrical rules. This geometry is two-dimensional and could be applied on any 2D surface by using a simple ruler and compass. In contrary these geometries have an admissible level of elaboration and creativity to create a valuable set of ornamental geometries in Persian architecture. Girih tiles are one subset of these ornaments which mostly appear in cornices and tiling. Notwithstanding the growth of contemporary drawing tools and methods, there are few methods to draw or depict these two dimension geometries on non-uniform surfaces, especially free-form surfaces. The main question is how to draw and transfer these two-dimensional drawings on free form surfaces? Based upon this question; this paper aims to propose a method to project a Girih module on a free-form surface by converting the selected Girih drawing logic to an algorithmic process. This method locates each point of the Girih tile on the final surface by creating a biunique correspondence between Girih 2D domain and the free-form surface 2D domain. Finally, the Ten-Ray Acute Girih module is depicted on a free-form surface and can be duplicated and manipulated simultaneously. Additionally, each Girih tile has a separate attractor parameter thus each tile can be controlled separately.
Article number: 6
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