$ z^{2^s_i}+c$
s₀=-0.01+i, s_i+1=(0.71+0.71i)*s_i
Center:473+.005i; Zoom = 1

This one is similar to yesterday's post, Sequence Fractals Part V #37. Same formula, a different starting point for the spiral sequence.

The upper left is a mess. Most of the rest of the image is populated with repeating, slightly morphing shapes. There seems to be a lot of potential. In fact, this is close to something that I would just say "done" and publish it.

This one is the last of the older pictures that were created with a "fractal mindset". That is, more or less raw pictures intended to give some insight into the math. I have several more queued up that I created with the "art mindset". The formulas create a background, that I use as inspiration to build a piece of abstract art. Many of those are derived from today's formula.

$ z^{2^{s_i}}+c$
s₀=1.0, s_i+1=(0.6+0.8i)*s_i
Center: 0+0i; Zoom = 0.5

I am going to close the Sequence Fractal series (plural) for now. I may add to it later, or start a part VI. I started the series on April 5, Sequence Fractals Introduction #1. It is time to take a break.

I have not followed up on few things in the introduction. I leave these behind with the intention to return someday. Although I have to confess that much of my "do someday" list will migrate to the "never got around to it" list. Here are a few of the things in the introduction that I will try to return to:

The above mentioned Sequence Fractals Introduction #1 directly draws a sequence.

Sequence Fractals Introduction #11 and Sequence Fractals Introduction #12 uses the sequence in the coloring algorithm on a normal fractal calculation.

Sequence Fractals Introduction #17 uses a sequence of functions rather the a sequence of numbers. (Yes in a mathematical sense there is an equivalence between numbers and functions. But the different starting points lead you down different paths.)

I said yesterday Sequence Fractals Part V #38 that I was going to continue with more artistic images derived from the formulas in this series. I will be posting them, but not calling them sequence fractals, or any other kind fractal. I am not sure what to call them, but they have certainly moved away from fractals to generative art or abstract art. I will not (usually) post the underlying formula. It is a distraction and a lot of manually copying number from one program to another for me. If you are every curious whether some was generating with a formula, and want information on it, just send me and email or ask in a comment.

To close, I reimagine Sequence Fractals Part V #18. Some small changes remove the trash in the upper right. Actually not removed, just painted over so it blends in. A nice transition from a raw fractal-like imaging to a more artistic interpretation.