A note on some internal structures of the Mandelbrot Set

Abstract This article presents two simple methods for creating images which reveal some of the “interior” patterns of the Mandelbrot Set. The “epsilon cross” and “star trails” methods described here monitor the trajectory of a point, as calculated by the Mandelbrot Set algorithm, on a complex plane. A portion of this algorithm is presented along with a discussion of the changes required to create the images in the accompanying figures.