Fractal trees with side branching

被引：40

作者：

Newman, WI ^{[1
]}

Turcotte, DL

Gabrielov, AM

机构：

[1] Univ Calif Los Angeles, Dept Earth & Space Sci, Los Angeles, CA 90095 USA

[2] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[4] Cornell Univ, Dept Geol Sci, Ithaca, NY 14853 USA

[5] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[6] Purdue Univ, Dept Earth & Atmospher Sci, W Lafayette, IN 47907 USA

来源：

FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE | 1997年 / 5卷 / 04期

关键词：

D O I：

10.1142/S0218348X97000486

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers fractal trees with self-similar side branching. The Tokunaga classification system for side branching is introduced, along with the Tokunaga self-similarity condition. Area filling (D = 2) and volume filling (D = 3) deterministic fractal tree constructions are introduced both with and without side branching. Applications to diffusion limited aggregation (DLA), actual drainage networks, as well as biology are considered. It is suggested that the Tokunaga taxonomy may have wide applicability in nature.

引用

页码：603 / 614

页数：12

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