【摘要】 简要介绍了L -系统的概念、文法规则以及L -系统生成图形的方法———“改写规则”和“龟形图法”。在阐述L -系统的原理和作图方法基础上 ,利用Mathematica数学软件提供的强大作图功能 ,简洁地生成了分形理论中一些非常典型的分形图 ,实现了对低阶L -系统功能的模拟 ,得到的分形图与用C语言实现的L -系统生成的图形完全相同 ,但该方法简单实用 ,易于编程实现 ,对计算机的程序设计能力的要求大大降低。该方法可进一步扩展到生成更复杂的图形上。探讨了该方法在三维立体分形图生成方面的可行性 ,并给出了实验结果更多还原

【Abstract】 L-system is the quintessence of sculpt in fractal geometry. In this paper,we introduce the fundamental concepts and property about L-system and the methods of producing image with it — “rewriting rules" and “turtle drawing". Through studying the principle of L-system, we use the Mathematica software to simulate the simple L-system to produce several representative fractal picture. Using this method, we can get the fractal picture much more quickly and simply than using other computer language like C.Furthermore,it make the abstruse formal language theory and fractal geometry theory understood easily. At last, we have improved our method to produce the more complicated geometry objects in three dimensions successfully and show the experimental results.更多还原