Sequence Fractals Part III #20

327.jpg

z^2+c+s_i
s0=0.0, si+1=si+0.1. Reset after 30 steps.
Center:0.0+0.0i; Zoom =0.5

At 30 steps between resets the white capture set is gone.

I found some cracks that host minis, similar to yesterday’s post. Sequence Fractals Part III #19 Much smaller than yesterday’s, but after adjusting the scale they were so similar they do not deserve a separate post.

Sequence Fractals Part III #15

322.jpg

z^2+c+s_i
s0=0.0, si+1=si+0.1. Reset after 20 steps.
Center:0.0+0.0i; Zoom = 0.5

Change the sequence to reset to after ever 20 steps.

The capture set is very small. That is not surprising. Each step we are taking the usual z2+c iteration and kicking it a little to the right. On every 20th step the orbit gets pushed 1.9 units to the right. It may be more surprising that anything remains in the capture set.