Dendritic design as an archetype for growth patterns in nature: fractal and constructal views

Frontiers in Physics

Miguel, Antonio F.¹ 

[1] University of Evora, Department of Physics, Rua Romao Ramalho, 59, Evora, 7000-671, Portugal

关键词: dendritic network;    tree-shaped network;    vascular networks;    lungs;    river basins;    fractal;    constructal law;   

DOI  :  10.3389/fphy.2014.00009

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

The occurrence of configuration (design, shape, structure, rhythm) is a universal phenomenon that occurs in every flow system. Dendritic configuration (or tree-shaped configurations) is ubiquitous in nature and likely to arise in both animate and inanimate flow systems. Why is it so important? Is there a principle from which this configuration can be deduced? In this review paper we show that these systems own two of the most important properties of fractals that are self-similarity and scaling. Their configuration do not develop by chance. It´s occurrence is a universal phenomenon of physics covered by a principle. Here we also show that the emergence of dendritic configuration in flow systems constitutes a basic supportive flow path along which “order” need to persist is propagated.

【 授权许可】

CC BY