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Recognising various Types of Akhtari Karbandi (Discrete, Continuous, Tarkin) Without the Need for Drawing Based on Mathematical Relationships | ||
Iranian Journal of Archaeological Studies | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 خرداد 1404 | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22111/ijas.2025.51572.1343 | ||
نویسندگان | ||
Azita Balali Oskoyi* ؛ Sepideh Sepehriara | ||
Department of Architecture and Urbanism, Tabriz Islamic Art University, Tabriz, Iran. | ||
چکیده | ||
There are various classifications of Karbandis, with Akhtari Karbandi as one of the most widely used classes in traditional architecture. The present research aims to establish a method to identify various types of Akhtari Karbandi without the need for drawing based on mathematical relationships. Moreover, it seeks to answer the question whether there is a mathematical relationship between the number of base circle divisions and the connection distance in the Akhtari Karbandi. Using logical thinking and inductive reasoning, this research investigates the mathematical relationship between the number of base circle divisions and the connection distance in the 8th to 28th bases of Karbandi (including 102 Karbandis) that can be drawn in these fields. The results reveal that the mathematical relationship between the number of base circle divisions and connection distance in Akhtari Karbandi dictates its type: continuous if they share no common divisor, star-discrete if they share one, and discrete regular polygon grid if the number of base circle divisions is divisible by the connection distance. | ||
کلیدواژهها | ||
Discrete Akhtari Karbandi؛ Continuous Akhtari Karbandi؛ Tarkin Akhtari Karbandi؛ Mathematical Relationships | ||
آمار تعداد مشاهده مقاله: 22 |