Document Type : Research Paper
Authors
1 PHD Student of Architecture, Department of Architecture, Faculty of Architecture and Urban Planning, Central Tehran Branch, Islamic Azad University, Tehran, Iran,
2 . Associate Professor, Faculty of Architecture and Urban Planning, Shahid Beheshti University, Tehran, Iran
3 Associate Professor, Faculty of Architecture and Urban Planning, Central Tehran Branch, Islamic Azad University, Tehran, Iran
4 . Assistant Professor, Faculty of Architecture and Urban Planning, Gilan University, Gilan
Abstract
Applying computational rules has a major contribution in the coordination of architectural proportions and elements. Geometry science and its applications is one of the main features in Iranian architecture. The start of its development was in the eighth and ninth centuries and continued until the tenth century. At this research for using the perspective of ninth century mathematician and thinker, Al’Kashi, is considered as measuring, calculating and regulating these elements in Timurid era. One of most important achievement of Al’Kashi is trisecting the angle and the circle which is the complimentary of the trigonometry and conic sections of Khayyam. The purpose of the research is to answer if calculations and ideas proposed by famous mathematicians such as Al’Kashi have the ability to use in architectural industry. The theoretical foundations of the current research are on this basis whether there is connection and relationship between theoretical and practical discussions of geometry and architecture.
In the paper, based on the manuscripts left by Iranian mathematicians, the roots of their computational and graphical rules which the researchers consider them as the Menelaus theorem are evaluated by Python programming language in Rhino software. The results show that Al’Kashi's calculations and drawings were not just a practical-theoretical exercise and trigonometric rules have been used in static and stability of architectural features.
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