Generation of Koch Curve with Unitary Regulation of L System and Its Applications

Lin Guo, R. Xu
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Abstract

In this paper, the classical fractal graph – Koch curve was generated with unitary regulation of L system in visual C++, and the regular fractal graphs, fractal trees and handkerchief curves which have typical fractal characteristics were generated by changing the elements of generation. The unitary regulation of L system is intuitively expressed by computer language, it can not only help to understand the program design ideas, but also appreciate the way of fractal generation and the basic principles and features of fractal, for profound exploring the rules in process of fractal generation has certain research value. Generated fractal graphs can also be applied to the design field.
L系统一正则Koch曲线的生成及其应用
本文在visual c++中利用L系统的统一规则生成了经典的分形图- Koch曲线,并通过改变生成元素生成了具有典型分形特征的规则分形图、分形树和手帕曲线。将L系统的统一规律用计算机语言直观地表达出来,不仅有助于理解程序的设计思想,而且有助于认识分形生成的方式以及分形的基本原理和特征,对于深入探索分形生成过程中的规律具有一定的研究价值。生成的分形图也可以应用于设计领域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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