Recognising various Types of Akhtari Karbandi (Discrete, Continuous, Tarkin) Without the Need for Drawing, Based on Mathematical Relationships

Document Type : Research Article

Authors

Department of Architecture and Urbanism, Tabriz Islamic Art University, Tabriz, Iran.

Abstract

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.

Keywords

References

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Iranian Journal of Archaeological Studies
Volume 15, Issue 1
2025
Pages 85-94

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