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<p>This study investigates the geometric and topological structure of Armenian Khachkar motifs to assess their computational reproducibility. Characterized by complex curvilinear networks and interlaced patterns, these motifs are analyzed through the decomposition of their fundamental geometric components within a grid-based system and represented using node–edge relationships. The proposed method employs a parametric modeling approach that controls curve generation and over–under crossing relations at vertex points. In this framework, the motif is treated not as a static composition but as a rule-based system defined by variable parameters. The performance of the model is evaluated based on rule compliance, curve continuity, and interlacing readability, demonstrating its capability to generate accurate reconstructions and controlled variations.</p>

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Graph-Based Computational Modeling of Armenian Khachkar Motifs

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Semih Bayer

摘要

This study investigates the geometric and topological structure of Armenian Khachkar motifs to assess their computational reproducibility. Characterized by complex curvilinear networks and interlaced patterns, these motifs are analyzed through the decomposition of their fundamental geometric components within a grid-based system and represented using node–edge relationships. The proposed method employs a parametric modeling approach that controls curve generation and over–under crossing relations at vertex points. In this framework, the motif is treated not as a static composition but as a rule-based system defined by variable parameters. The performance of the model is evaluated based on rule compliance, curve continuity, and interlacing readability, demonstrating its capability to generate accurate reconstructions and controlled variations.