Abstract

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.

Highlights

  • In a wide variety of situations the formation of patterns results from a growth process

  • Dendritic flow systems exist everywhere and at every scale ranging from the tiniest vessel network, in plants and mammals, through the scales of the rivers basins and deltas

  • Dendritic geometry characterizes the formation of our lungs and vascular system [1] and the growth of bacterial colonies and stony corals [2, 3] in low nutrient environments

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Summary

Introduction

In a wide variety of situations the formation of patterns results from a growth process. FRACTAL-LIKE FEATURES OF NATURAL DENDRITIC FLOW NETWORKS There is a general recognition that many characteristics of living systems can be expressed as scaling laws (typically of power law form) which indicate an invariance under appropriate changes of scale.

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