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Tree-inspired dendriforms and fractal-like branching structures in architecture： A brief historical overview

Frontiers of Architectural Research 2014年第3期3卷 298-323页

作者： iasef md rian mario sassone Department of Architecture and Design (DAD) Politecnico di Torino Viale Pier Andrea Ivlattioli - 39Turin 10125 Italy

The shapes of trees are complex and fractal-like, and they have a set of physical, mechanical and biological functions. The relation between them always draws attention of human beings throughout history and, focusing on the relation between shape and structural strength, architects have designed a number of treelike structures, referred as dendriforms. The replication and adoption of the treelike patterns for constructing architectural structures have been varied in different time periods based on the existing and advanced knowledge and available technologies. This paper, by briefly discussing the biological functions and the mechanical properties of trees with regard to their shapes, overviews and investigates the chronological evolution and advancements of dendriform and arboreal structures in architec- ture referring to some important historical as well as contemporary examples.

关键词： Architecture Tree Dendriforms Fractal geometry Branching structures Technology

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Random fractal-based computational design of an ice-ray (IR) lattice shell structure

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Frontiers of Architectural Research 2024年第2期13卷 406-424页

作者： iasef md rian Department of Architecture Xi'an Jiaotong-Liverpool UniversitySuzhou 215123China

Chinese ice-ray (IR) lattices, known for their intricate and visually fascinating random patterns as decorative elements in traditional 18th-century Chinese window design, exhibit underlying stiffness as latticed window fences. Such unique patterns represent a new morphology within the family of stochastic lattices. However, the latent structural potential within the random patterns of ice-ray lattices remains largely unexplored, particularly in the context of lattice shell design. This study systematically studies the geometric qualities of ice-ray lattice patterns and develops an algorithm to model these patterns for ice-ray lattice shell design. Subsequently, it assesses the structural feasibility and effectiveness of these lattice shells in comparison to conventional gridshells. The practicality of constructing random lattice shells using digital fabrication tools is also explored. Employing fractal geometry as a foundational framework, this research not only offers insights into the potential of ice-ray lattices for innovative lattice shell design but also introduces a new structural morphology to the field, expanding the possibilities of incorporating stochastic patterns in lattice shell design. Ultimately, it opens up new opportunities for innovative lattice shell designs, emphasizing the potential of stochastic patterns in structural applications.

关键词： Ice-ray pattern Fractals Random Lattice shells Computational design Digital fabrication

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Fractal-based algorithmic design of Chinese ice-ray lattices

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Frontiers of Architectural Research 2022年第2期11卷 324-339页

作者： lasef md rian Department of Architecture Xi^n Jiaotong-Liverpool UniversitySuzhou 215123China

Chinese ice-ray lattices are perhaps one of the earliest and controlled designs of asymmetric and complex patterns applied as a traditional motif in *** intricate and complex designs developed centuries back have created an evident curiosity to explore its underlying geometric *** scholars used the Shape Grammar as a tool to explain and recreate similar *** previous studies conceive the ice-ray lattice design as the iterative subdivisions of a ***,they missed explaining this geometric quality through the discussion of fractal geometry,which can explain the shapes consuming selfsimilar or self-affine repetitions of itself at different *** a novel approach,this paper analytically focuses on the fractal characters of ice-ray lattice designs and uses fractal geometry as a unique tool for generating different types of ice-ray *** significance of this study is the demonstration of the efficacy of fractal geometry and the simple geometric rule of IFS for analyzing and algorithmically modeling complex lattices and cracked-like patterns.

关键词： Ice-ray Algorithm Random fractals IFS Visual complexity Fractal dimension

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