s₀=0.0, s_i+1=s_i+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.

s₀=0.0, s_i+1=s_i+0.1. Reset after 25 steps.
Center:-1.2101-0.41833i; Zoom = 32

Found a mini in a crack.

s₀=0.0, s_i+1=s_i+0.1. Reset after 25 steps.
Center:0.0+0.0i; Zoom =0.5

At 25 steps between resets there is a small capture area in the nose.

One zoom coming up for this one, a peek at a brown spot in the wings.

s₀=0.0, s_i+1=s_i+0.1. Reset after 20 steps.
Center:-0.98714+0.296305i; Zoom = 2048

Another zoom. The color entropy dial is turned down a little.

s₀=0.0, s_i+1=s_i+0.1. Reset after 20 steps.
Center:-1.92826+0.00031i; Zoom = 32768

Near the stable areas there is interesting chaos. Here is the first of two zooms

s₀=0.0, s_i+1=s_i+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.

s₀=0.0, s_i+1=s_i+0.1. Reset after 15 steps.
Center:-1.854112+0.001739i; Zoom = 13421

Third zoom of Sequence Fractals Part III #11. Close to yesterday’s image Sequence Fractals Part III #13, a little above the real axis

s₀=0.0, s_i+1=s_i+0.1. Reset after 15 steps.
Center:-1.8625+0.0i; Zoom = 52

Second of three zooms into Sequence Fractals Part III #11

This one is near the tip of the Pinocchio nose.

s₀=0.0, s_i+1=s_i+0.1. Reset after 15 steps.
Center:-1.7396+0.0i; Zoom = 164

Here is the first of a few random zooms into the image posted yesterday, Sequence Fractals Part III #11

If you are keeping score, this is equivalent to a degree 2^15 = 32,768 polynomial.

s₀=0.0, s_i+1=s_i+0.1. Reset after 15 steps.
Center:0.0+0.0i; Zoom = 0.5

Moving up to 15 steps before resetting the sequence.

The capture set is getting smaller, but there is still plenty of chaos.