| 用Mathematica绘制二维分形图 |
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| 引用本文： | 李敏.用Mathematica绘制二维分形图[J].湖州师范学院学报,2007,29(2):45-49. |
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| 作者姓名： | 李敏 |
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| 作者单位： | 怀化学院,数学系,湖南,怀化,418008 |
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| 摘 要： | 为获得绘制二维分形图的简单方法,利用Mathematica软件的数值计算功能、符号运算功能和图形程序设计功能,以简单的程序实现了迭代分形算法和逃逸时间算法,成功绘制了Von Koch曲线、分形树枝、Mandelbrot集等分形图,给出了相应的Mathematica源代码,体现了Mathematica软件在实现分形算法方面的优越性,并提出了绘制复杂分形图的新方法.
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| 关 键 词： | 分形 迭代 逃逸时间 VonKoch曲线 分形树枝 Mandelbrot集与Julia集 Manthematica |
| 文章编号： | 1009-1734（2007）02-0045-05 |
| 收稿时间： | 2007-01-08 |
| 修稿时间： | 2007年1月8日 |
Drawing Two-dimensional Fractal Figures with Mathematica |
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| LI Min.Drawing Two-dimensional Fractal Figures with Mathematica[J].Journal of Huzhou Teachers College,2007,29(2):45-49. |
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| Authors: | LI Min |
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| Institution: | Deptment of Mathmatcis, Huaihua University, Huaihua 418008, China |
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| Abstract: | To find a simpler method for drawing two-dimensional fractal figures,we have successfully drawn several fractal figures and given the relevant programs Von Roch curve,fractal branch Mandelbrot set,etc.by using the Mathematica's functions in numerical computation,symbolic calculation and programming,thus realizing iterate and escape time algorithms by simple program.This paper shows the advantage of Mathematica in realizing fractal algorithms and offers a new method in drawing complex fractal figures. |
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| Keywords: | fractal iterate escape time Von Koch curve fractal branch Mandelbrot set Julia set Mathematica |
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