高阶Mandelbrot分形图和轴对称性

High-order Mandelbrot Fractal Images and Their Axial Symmetry

本文证明了m阶Mandelbrot分形图Mm具有m-1条对称轴，其方程为（j=1，…，m-1；r为实数），从而，可用轴对称旋转时间逃逸算法快速构造高阶Mandelbrot分形图。

In this paper we prove that in m-order Mandelbrot fractal image there are m-1symmetric axes which have equations:0 =1,…'m-1; r is a real number).Using this property we can fast comtruct the mandelbrot fractal adage by new algorithm.