Benchmarking Tree-Inspired-Fractal Branching Dendriform Structures From BC to L-System Based Contemporary Structures

Abstract

Nature has its own complex geometry, which couldn’t be explained using traditional methods until the advent of Fractal Geometry. Nowadays, we can observe and represent almost every geometry using quantitative tools. In this study, the compatibility of geometric compositions, referencing Euclidean geometry from hand-drawing environments to digital drawing and computational Computer-aided design (CAD) tools in the architectural products of complex parametric designs, was observed. Historical structures such as Maison Carrée, The Sakyamuni Pagoda of Fogong Temple, Saint Chapelle, Gloucester Cathedral, King’s College Chapel, La Sagrada Familia, and the Stuttgart Airport Terminal, as well as contemporary structures generated by Parametric Design Tools, were examined. Both past and current parametric design examples were benchmarked. The plans and column head views of buildings were analyzed using the Fractal Analysis Method with the FracLac software, which functions as a plug-in within ImageJ. The sophisticated column geometry was created as a dynamic geometry utilizing L-System rules and iteration principles, and then a solid substance was built using a Dynamo-PythonScript node, which acts as an interface command in Autodesk Revit. As a result, contrary to popular belief, dendriform structure geometry behaved unexpectedly and was not complicated than modern times.

Keywords

• Computational architecture
• Computer-aided design (CAD)
• Fractal geometry
• Iterative generation method
• Parametric design

Ağaçtan İlham Alan Fraktal Dallanan Dendriform Yapıların Antik Dönemden L-Sistem Tabanlı Çağdaş Tasarımlara Kadar Karşılaştırılması

Abstract

Doğa, Fraktal Geometri ortaya çıkana kadar geleneksel yöntemlerle açıklanamayan kendine özgü karmaşık bir geometriye sahiptir. Günümüzde, hemen hemen her geometriyi niceliksel araçlar kullanarak gözlemleyebilir ve temsil edebiliriz. Bu çalışmada, karmaşık parametrik tasarımların mimari ürünlerindeki el çizimi ortamlarından dijital çizim ve hesaplamalı Bilgisayar destekli tasarım (CAD) araçlarına kadar Öklid geometrisini referans alan geometrik kompozisyonların uyumluluğu gözlemlenmiştir. Maison Carrée, Fogong Tapınağı Sakyamuni Pagodası, Saint Chapelle, Gloucester Katedrali, King’s College Şapeli, La Sagrada Familia ve Stuttgart Havaalanı Terminali gibi tarihi yapıların yanı sıra Parametrik Tasarım Araçları ile üretilen çağdaş yapılar incelendi. Hem geçmiş hem de güncel parametrik tasarım örnekleri kıyaslanmıştır. Yapıların planları ve kolon başı görünümleri, ImageJ içinde bir eklenti olarak işlev gören FracLac yazılımı ile Fraktal Analiz Yöntemi kullanılarak analiz edildi. Sofistike kolon geometrisi, L-Sistem kuralları ve iterasyon ilkeleri kullanılarak dinamik bir geometri olarak oluşturuldu ve ardından Autodesk Revit’te bir arayüz komutu olarak işlev gören bir Dynamo-PythonScript düğümü kullanılarak katı bir madde oluşturuldu. Sonuç olarak, sanılanın aksine, dendriform yapı geometrisi beklenmedik şekilde davrandı ve modern zamanlardan daha karmaşık değildi.

Keywords

• Hesaplamalı mimari
• Bilgisayar destekli tasarım (CAD)
• Fraktal geometri
• Yinelemeli üretim yöntemi
• Parametrik tasarım

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