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<p>This article explores the pattern-based design of traditional Iranian bazaars, emphasizing visual congruence of the components through quasi-fractal patterns. According to a context-oriented order, traditional bazaars, as integral parts of Iranian cities, follow an organized, mathematical approach. Using the box-counting method in ImageJ software, 13 samples from bazaars in Tabriz, Tehran, Kashan, Kerman, and Yazd were analyzed at macro, meso, and micro scales. The fractal dimensions, ranging from 1.48 to 1.66, align with traditional rather than modern architecture. The fractal dimension of Timchehs is notably higher than that of Sarās. Further studies at finer scales are recommended.</p>

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The Explanation of the Mathematical Pattern of Traditional Iranian Markets by the Computational Analysis Method of Fractal Dimension

  • 期刊论文

  • 发表日期：

    2026年6月24日

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  • Seyedeh Elham Alavizadeh,
  • Safa Salkhi Khasraghi,
  • Babak Pordel Maragheh,
  • Asma Mehan

摘要

This article explores the pattern-based design of traditional Iranian bazaars, emphasizing visual congruence of the components through quasi-fractal patterns. According to a context-oriented order, traditional bazaars, as integral parts of Iranian cities, follow an organized, mathematical approach. Using the box-counting method in ImageJ software, 13 samples from bazaars in Tabriz, Tehran, Kashan, Kerman, and Yazd were analyzed at macro, meso, and micro scales. The fractal dimensions, ranging from 1.48 to 1.66, align with traditional rather than modern architecture. The fractal dimension of Timchehs is notably higher than that of Sarās. Further studies at finer scales are recommended.