Fractal structures of the non-boundary region of the generalized Mandelbrot set

摘要

In order to study the interior structure of the Mandelbrot (M) set, Pickover and Hooper have ad- vanced the epsilon cross method and the star trails method, respectively. In order to reveal the exterior structure of the M set, Philip has proposed the regional decomposition method and the angle-silicing decomposition method. In this pa- Per, these methods are extended, and the equipotential line method and the color adjustment method are proposed to Study the exterior structure of the M set.