分形图的迭代算法

Iterate Arithmetic of Fractal Figures

绘制分形图的算法理论及程序设计是一支独立的研究方向,分形图提供了最直观的形象,大大地促进了分形科学的发展,同时分形图案应用于实际带来了巨大的经济利益.迭代函数系统(IFS)既简化了事物又解决了分形的生成问题.利用分形集的自相似性,给出了常见分形图的构造规则,并用Mathematica语言给出了它们的迭代算法和程序设计.

The arithmetic theories and programming of fractal figures is a new branch. Fractal figures offer intuitionistic visualization and promote the development of fractal science. Fractal designs also bring high economic benefit. Iterate function system （IFS） not only predigest things but also solve the created problems of fractal. In the paper we give some structures of some fractal according to the self-similar fractal sets. At the same time we offer their iterate arithmetic and programming by Mat hematica.