More snowcapped mountains.

New Series, Brr. Lots of white, vaguely reminiscent of snowcapped mountains.

Again, mostly pictures without words. I am not going to try to explain how I generated these. If anyone is interested, send me a message or leave a comment.

As for meaning and emotions, I leave that to the viewer to decide. Personally, I enjoy winter mountain sports. So despite the messy chaotic nature of these images, I find them optimistic. I long for the winter to come and the snow to start falling.

Leave a comment on what you see.

The previous images in this series were mostly created a month ago. The final touches, the finishing was done a week ago. As was the selecting, sorting, ordering, to put them into a series.

I have stopped describing the algorithms that generate these. I feel every one of these images deserves some words. But what is there to say? When I try to explain something, I end up just stating the obvious. So what follows is mostly just pictures without words.

If you have any questions about anything, just ask in the comments. I will explain as best I can.

I love these messy chaotic images. I know they are not for everyone's taste. But I find them fascinating. I encourage you to look closely and discover the fine details.

I mentioned that I consider these constructive. That I apply selected formulas, and colors, to achieve a desired effect. I am getting better at doing that, but often the effect comes with side effects.

Here I started with everything expanding out radially from the lower left quadrant. Then I got the color dialed in. Mostly black and white, which makes the blue pop, with a little complementary rust on the left. Then I got the details on the left side, the streaking, the contrails, the 'eye of the storm'.

After many attempts, either I gave up, or after studying it long enough I discovered it was actually perfect as it, or the universe was telling me this is the way it must be. In truth, now I have no desire to change any of it.

My program is set up to apply effects (formulas) globally. I am working on modifications to apply effect to isolated areas. It is not there yet, and I am having plenty of fun as-is.

The faux-fractal formulas of the previous series, along with some new ones, become tools of algorithmic art. They are operations to apply to create an effect.

I have stopped posting coordinates and formulas. In fact I have stopped keeping track of them. I still have the program code for all of these. If you are interested, just ask in the comments and I will try to provide information.

Today I start posting the Storm series.

In the previous series, Sequence Fractals V, I declared that any mathematical significance was gone. I continued to post formulas and images with "if you do this then that happens" type of commentary. Leaning towards the explore side of the explore/construct scale.

Now I move to the construction side of the scale and embrace the chaos. "Storm" seems like the perfect theme.

$ 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.

$ 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.