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Geleneksel Mandal Aynasının Geometrik Analizi ve Üçüncü Boyutta Yeniden Yorumlanması: Safranbolu Örneği

Year 2026, Volume: 14 Issue: 1, 86 - 104, 21.01.2026
https://doi.org/10.29130/dubited.1670407

Abstract

Bu çalışma, geleneksel Safranbolu konut kapılarındaki kapı mandalı aynalarını incelemektedir. Geleneksel olarak mimari elemanların şekil grameri yaklaşımıyla iki boyutlu analizine odaklanan literatürün aksine, bu araştırma üç boyutlu analizin önemini vurgulamaktadır. Çalışmanın ilk aşamasında mevcut mandal aynalarının fotoğrafları çekilerek belgelemesi yapılmıştır. Elde edilen verilerle mandal aynalarının iki boyutlu geometrik özellikleri belirlenmiştir. Bu süreçte kapı mandal aynalarını oluşturan temel geometrik formlar arasındaki ilişkiler incelenmiştir. Ardından, üç boyutlu bilgisayar destekli tasarım aracı olan Grasshopper (Rhinoceros eklentisi) kullanılarak, tanımlanan geometrik kurallara dayalı üretken algoritmalar geliştirilmiştir. Bunun sonucunda mandal aynaları için tanımlanan tasarım kuralları uygulanarak yeni üç boyutlu tasarım varyasyonları üretilmiştir.

References

  • Abdesalam, M.M. (2012). The use of smart geometry in Islamic patterns. In CAAD | Innovation | Practice: Proceedings of the 6th International Conference of the Arab Society for Computer Aided Architectural Design (ASCAAD) (pp. 49-68). https://papers.cumincad.org/cgi-bin/works/Show?ascaad2012_007
  • Agarwal, M., & Cagan, J. (1998). A blend of different tastes: The language of coffeemakers. Environment and Planning B: Planning and Design, 25(2), 205-226. https://doi.org/10.1068/b250205
  • Ağırbaş, A. (2018). Algorithmic decomposition of geometric Islamic patterns: A case study with star polygon design in the tombstones of Ahlat. Nexus Network Journal, 22, 113-137. https://doi.org/10.1007/s00004-018-0416-6
  • Ağırbaş, A., Yıldız, G., & Sahin, M. (2022). Interrelation between grid systems and star polygons of muqarnas ground projection plans. Heritage Science, 10, Article 12. https://doi.org/10.1186/s40494-022-00647-z
  • Bayer, S., & Çakıcı Alp, N. (2024). Varagavank Monastery's Khackar motifs: Understanding production through parametric methods. Nexus Network Journal, 26, 257-274. https://doi.org/10.1007/s00004-023-00753-w
  • Caetano, I., Santos, L., & Leitao, A. (2020). Computational design in architecture: Defining parametric, generative, and algorithmic design. Frontiers of Architectural Research, 9(2), 287-300. https://doi.org/10.1016/j.foar.2019.12.008
  • Cenani, S., & Çağdaş, G. (2007). A shape grammar study: Form generation with geometric Islamic patterns. In: GA2007: Generative Art 10th International Conference (pp. 1-7). Politecnico Di Milano University.
  • Çağdaş, G. (1996). A shape grammar: The language of traditional Turkish houses. Environment and Planning B: Planning and Design, 23(4), 443–464. https://doi.org/10.1068/b230443
  • Dağı, F., & Çelik, Ö. (2020). Safranbolu’da meslek folkloru bağlamında demircilik. Safran Kültür ve Turizm Araştırmaları Dergisi, 3(1), 26–38.
  • Garcia, S., & Leitão, A. M. (2018). Shape grammars as design tools: An implementation of a multipurpose chair grammar. AI EDAM, 32(2), 240–255. https://doi.org/10.1017/S0890060417000610
  • Göktaş Kaya, L. (2010). Geleneksel kapı halka ve tokmakları: Safranbolu. Uluslararası Yönetim İktisat ve İşletme Dergisi, 6(12), 341–369.
  • Heidegger, M. (1971). Building dwelling thinking (A. Hofstadter, Trans.). In Poetry, language, thought (pp. 353–364). Harper & Row. (Original work published 1951)
  • Hudson, R. (2010). Strategies for parametric design in architecture: An application of practice led research [Doctoral dissertation, University of Bath]. https://purehost.bath.ac.uk/ws/portalfiles/portal/187941972/RHudsonEThesis.pdf
  • Jabi, W. (2013). Parametric design for architecture. Laurence King Publishing.
  • Kartal, S., & Dinçer, A. E. (2023). Tarihi çevrede eski-yeni yapı uyumunun 3 boyutlu fraktal analiz yöntemi ile incelenmesi: Safranbolu örneği. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 13(4), 1110-1126. https://doi.org/10.17714/gumusfenbil.1256557
  • Kaya Köse, E., & Dinçer, A. E. (2024). An examination of ironworking examples in traditional Safranbolu house doors through the approach of shape grammar. IDA: International Design and Art Journal, 6(1), 71-89.
  • Muslimin, R. (2010). Interweaving grammar: Reconfiguring vernacular structure through parametric shape grammar. International Journal of Architectural Computing, 8(2), 93-110.
  • Nasri, A., & Benslimane, R. (2017). Parametric shape grammar formalism for Moorish geometric design analysis and generation. Journal on Computing and Cultural Heritage (JOCCH), 10(4), 1-20. https://doi.org/10.1145/3064419
  • Norberg-Schulz, C. (1980). Genius loci: Towards a phenomenology of architecture. Rizzoli.
  • Oxman, R. (2017). Thinking difference: theories and models of parametric design thinking. Design Studies, 52, 4–39. https://doi.org/10.1016/j.destud.2017.06.001
  • Prats, M., Garner, S., Jowers, I., & Earl, C. (2004). Improving product design via a shape grammar tool. In Proceedings of DESIGN 2004, The 8th International Design Conference (pp. 477-482), Dubrovnik, Croatia.
  • Sawatmongkhonkul, K. (2024). Exploring parametric concepts and principles for furniture and interior design. Interiority, 7(1), 101–120. https://doi.org/10.7454/in.v7i1.311
  • Schumacher, P. (2016). Design parameters to parametric design. In M. Kanaani & D. Kanaani (Eds.), The Routledge companion for architecture, design, and practice (pp. 1–18). Routledge.
  • Sheibaniaghdam, D., & Arslan Selçuk, S. (2022). A Bibliometric Analysis of the Nexus Network Journal. Nexus Network Journal, 24(3), 737-752. https://doi.org/10.1007/s00004-022-00613-z
  • Wang, J., Zhou, J., & Zhang, S. (2025). Applying shape grammar and BIM for generating the mass modular housing design in ShanLiChenJia village, ZhaoYuan, China. Journal of Asian Architecture and Building Engineering, 24(1), 178–198. https://doi.org/10.1080/13467581.2023.2292081
  • Weinstock, M. (2011). Morphogenesis and the mathematics of emergence. In A. Menges & S. Ahlquist (Eds.), Computational design thinking (pp. 158–167). Wiley.
  • Xue, G., & Chen, J. (2024). Strategies for applying shape grammar to wooden furniture design: taking traditional Chinese Ming-Style recessed-leg table as an example. BioResources, 19(1), 1707–1727.
  • Yaman, F. S. (2022). Kültürel belleğin aktarımında zanaatkârlar: Safranbolu Demirciler Çarşısı örneği, İçtimaiyat, 6(2), 537–553. https://doi.org/10.33709/ictimaiyat.1090353

Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu

Year 2026, Volume: 14 Issue: 1, 86 - 104, 21.01.2026
https://doi.org/10.29130/dubited.1670407

Abstract

This study examines the door latch mirrors on traditional Safranbolu residential doors, which carry both formal and symbolic meanings, aiming to highlight their uniqueness and promote their sustainability. It seeks to present viable design alternatives using the shape grammar approach, which is effectively employed to evaluate the design languages of traditional architectural elements through both two-dimensional and, more rarely, three-dimensional analyses. While latch mirrors display rich variations in the patterns on their surfaces, this study focuses on the features of their external forms. Based on these ideas, the first phase of the study involved photographic documentation of existing latch mirrors in the buildings. Common and distinct two-dimensional geometric properties, relationship types, and rules were identified. Using Grasshopper (a visual programming plugin for Rhinoceros), a parametric model was developed based on these defined geometric rules. The study demonstrates its methods and production potential through examples. As a result, new 3D models were generated according to the design rules defined for door latch mirrors. Finally, the findings suggest that the model has the potential to actively support the preservation of traditional craftsmanship by providing alternative methods for restoration and facilitating cultural transmission related to tourism.

Ethical Statement

This study does not involve human or animal participants. All procedures followed scientific and ethical principles, and all referenced studies are appropriately cited.

Supporting Institution

This research received no external funding.

Thanks

The author/authors do not wish to acknowledge any individual or institution.

References

  • Abdesalam, M.M. (2012). The use of smart geometry in Islamic patterns. In CAAD | Innovation | Practice: Proceedings of the 6th International Conference of the Arab Society for Computer Aided Architectural Design (ASCAAD) (pp. 49-68). https://papers.cumincad.org/cgi-bin/works/Show?ascaad2012_007
  • Agarwal, M., & Cagan, J. (1998). A blend of different tastes: The language of coffeemakers. Environment and Planning B: Planning and Design, 25(2), 205-226. https://doi.org/10.1068/b250205
  • Ağırbaş, A. (2018). Algorithmic decomposition of geometric Islamic patterns: A case study with star polygon design in the tombstones of Ahlat. Nexus Network Journal, 22, 113-137. https://doi.org/10.1007/s00004-018-0416-6
  • Ağırbaş, A., Yıldız, G., & Sahin, M. (2022). Interrelation between grid systems and star polygons of muqarnas ground projection plans. Heritage Science, 10, Article 12. https://doi.org/10.1186/s40494-022-00647-z
  • Bayer, S., & Çakıcı Alp, N. (2024). Varagavank Monastery's Khackar motifs: Understanding production through parametric methods. Nexus Network Journal, 26, 257-274. https://doi.org/10.1007/s00004-023-00753-w
  • Caetano, I., Santos, L., & Leitao, A. (2020). Computational design in architecture: Defining parametric, generative, and algorithmic design. Frontiers of Architectural Research, 9(2), 287-300. https://doi.org/10.1016/j.foar.2019.12.008
  • Cenani, S., & Çağdaş, G. (2007). A shape grammar study: Form generation with geometric Islamic patterns. In: GA2007: Generative Art 10th International Conference (pp. 1-7). Politecnico Di Milano University.
  • Çağdaş, G. (1996). A shape grammar: The language of traditional Turkish houses. Environment and Planning B: Planning and Design, 23(4), 443–464. https://doi.org/10.1068/b230443
  • Dağı, F., & Çelik, Ö. (2020). Safranbolu’da meslek folkloru bağlamında demircilik. Safran Kültür ve Turizm Araştırmaları Dergisi, 3(1), 26–38.
  • Garcia, S., & Leitão, A. M. (2018). Shape grammars as design tools: An implementation of a multipurpose chair grammar. AI EDAM, 32(2), 240–255. https://doi.org/10.1017/S0890060417000610
  • Göktaş Kaya, L. (2010). Geleneksel kapı halka ve tokmakları: Safranbolu. Uluslararası Yönetim İktisat ve İşletme Dergisi, 6(12), 341–369.
  • Heidegger, M. (1971). Building dwelling thinking (A. Hofstadter, Trans.). In Poetry, language, thought (pp. 353–364). Harper & Row. (Original work published 1951)
  • Hudson, R. (2010). Strategies for parametric design in architecture: An application of practice led research [Doctoral dissertation, University of Bath]. https://purehost.bath.ac.uk/ws/portalfiles/portal/187941972/RHudsonEThesis.pdf
  • Jabi, W. (2013). Parametric design for architecture. Laurence King Publishing.
  • Kartal, S., & Dinçer, A. E. (2023). Tarihi çevrede eski-yeni yapı uyumunun 3 boyutlu fraktal analiz yöntemi ile incelenmesi: Safranbolu örneği. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 13(4), 1110-1126. https://doi.org/10.17714/gumusfenbil.1256557
  • Kaya Köse, E., & Dinçer, A. E. (2024). An examination of ironworking examples in traditional Safranbolu house doors through the approach of shape grammar. IDA: International Design and Art Journal, 6(1), 71-89.
  • Muslimin, R. (2010). Interweaving grammar: Reconfiguring vernacular structure through parametric shape grammar. International Journal of Architectural Computing, 8(2), 93-110.
  • Nasri, A., & Benslimane, R. (2017). Parametric shape grammar formalism for Moorish geometric design analysis and generation. Journal on Computing and Cultural Heritage (JOCCH), 10(4), 1-20. https://doi.org/10.1145/3064419
  • Norberg-Schulz, C. (1980). Genius loci: Towards a phenomenology of architecture. Rizzoli.
  • Oxman, R. (2017). Thinking difference: theories and models of parametric design thinking. Design Studies, 52, 4–39. https://doi.org/10.1016/j.destud.2017.06.001
  • Prats, M., Garner, S., Jowers, I., & Earl, C. (2004). Improving product design via a shape grammar tool. In Proceedings of DESIGN 2004, The 8th International Design Conference (pp. 477-482), Dubrovnik, Croatia.
  • Sawatmongkhonkul, K. (2024). Exploring parametric concepts and principles for furniture and interior design. Interiority, 7(1), 101–120. https://doi.org/10.7454/in.v7i1.311
  • Schumacher, P. (2016). Design parameters to parametric design. In M. Kanaani & D. Kanaani (Eds.), The Routledge companion for architecture, design, and practice (pp. 1–18). Routledge.
  • Sheibaniaghdam, D., & Arslan Selçuk, S. (2022). A Bibliometric Analysis of the Nexus Network Journal. Nexus Network Journal, 24(3), 737-752. https://doi.org/10.1007/s00004-022-00613-z
  • Wang, J., Zhou, J., & Zhang, S. (2025). Applying shape grammar and BIM for generating the mass modular housing design in ShanLiChenJia village, ZhaoYuan, China. Journal of Asian Architecture and Building Engineering, 24(1), 178–198. https://doi.org/10.1080/13467581.2023.2292081
  • Weinstock, M. (2011). Morphogenesis and the mathematics of emergence. In A. Menges & S. Ahlquist (Eds.), Computational design thinking (pp. 158–167). Wiley.
  • Xue, G., & Chen, J. (2024). Strategies for applying shape grammar to wooden furniture design: taking traditional Chinese Ming-Style recessed-leg table as an example. BioResources, 19(1), 1707–1727.
  • Yaman, F. S. (2022). Kültürel belleğin aktarımında zanaatkârlar: Safranbolu Demirciler Çarşısı örneği, İçtimaiyat, 6(2), 537–553. https://doi.org/10.33709/ictimaiyat.1090353
There are 28 citations in total.

Details

Primary Language English
Subjects Information Technologies in Architecture and Design
Journal Section Research Article
Authors

Ege Kaya Köse 0000-0002-7121-5602

Ahmet Emre Dinçer 0000-0002-3439-3637

Submission Date April 5, 2025
Acceptance Date October 29, 2025
Publication Date January 21, 2026
Published in Issue Year 2026 Volume: 14 Issue: 1

Cite

APA Kaya Köse, E., & Dinçer, A. E. (2026). Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu. Duzce University Journal of Science and Technology, 14(1), 86-104. https://doi.org/10.29130/dubited.1670407
AMA Kaya Köse E, Dinçer AE. Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu. DUBİTED. January 2026;14(1):86-104. doi:10.29130/dubited.1670407
Chicago Kaya Köse, Ege, and Ahmet Emre Dinçer. “Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu”. Duzce University Journal of Science and Technology 14, no. 1 (January 2026): 86-104. https://doi.org/10.29130/dubited.1670407.
EndNote Kaya Köse E, Dinçer AE (January 1, 2026) Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu. Duzce University Journal of Science and Technology 14 1 86–104.
IEEE E. Kaya Köse and A. E. Dinçer, “Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu”, DUBİTED, vol. 14, no. 1, pp. 86–104, 2026, doi: 10.29130/dubited.1670407.
ISNAD Kaya Köse, Ege - Dinçer, Ahmet Emre. “Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu”. Duzce University Journal of Science and Technology 14/1 (January2026), 86-104. https://doi.org/10.29130/dubited.1670407.
JAMA Kaya Köse E, Dinçer AE. Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu. DUBİTED. 2026;14:86–104.
MLA Kaya Köse, Ege and Ahmet Emre Dinçer. “Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu”. Duzce University Journal of Science and Technology, vol. 14, no. 1, 2026, pp. 86-104, doi:10.29130/dubited.1670407.
Vancouver Kaya Köse E, Dinçer AE. Geometric Analysis and Reinterpretation of the Traditional Latch Mirror in the Third Dimensions: The Case of Safranbolu. DUBİTED. 2026;14(1):86-104.