si = a,-a,…; a = -0.75
Center: 0,0; Zoom = 0.25
Today starts Part II. Mainly because Part I was getting too long. A slight generalization is made to the previous formulas. We will be looking at the two step sequence a, -a, a, -a, … for various values of a. This generalization includes the two most recent sets, a=-1, and before that, a=1, as well as the Mandelbrot set, a=0.
One would expect the pictures to vary continuously as the parameter a changes. Yet in the three examples a=1,0,-1 the pictures are totally different. Ok, smaller steps are needed. Here a = -0.75. The picture is similar to the a = -1 case, compare with Sequence Fractals Part I #19. The features are a little bit bigger, closer together, and a slight distortion can be seen in the Mandelbrot sets.