Evolution of Spirals in Mandelbrot and Julia Sets

These pictures were made with Michael Freeman's (Vancouver, BC, Canada) Mandelbrot program, V63MBROT, which was written specifically for an IBM PC system with an ATI VGA Wonder video card. Four of the picture sections (1a, 1c, 1d and 3a) are pictures in the Mandelbrot Set; the remaining sections are Julia Sets. The parameters for each section are given in Table 1. The figures are calculated at a resolution of 800 × 600 pixels, with dwell values set in the range of 10000 to 44444. There are color editing routines in Freeman's program so one can edit the pictures to enhance the contrast when the pictures are printed in black and white on the HP II laser printer. My usual approach is to make the spiral arms black and the background, between the spiral arms, a very light color…