# Logico Fractatus | Bad Fractals – Part 1

For a couple of months now, I’ve been involved in the work of deliberately creating some pretty Bad Fractals, as I call the project. Here, the goal, which is turning out swimmingly, is to find those “10000” solutions that won’t work,” to find and better by far those solutions, techniques, tricks, and tips that do to make better images. Here I have three images, two Bad, progressively less so, before reaching the third, and final image of the set. So, I’ll comment on each, and discuss what I like and don’t like about it, and why I think the Bad Fractals are just that. The images below are all courtesy of Fractal Domains for Mac. Let’s start with the first, and the worst of these! This post’s images use a modified Newton’s Method fractal type, and I’ve added terms to the formula’s numerator with higher exponent values. Bad Fractals in this series use 800 x 450 pixel resolution unless otherwise indicated:

I have serious problems with this one. While the pixelation with this could be corrected, the real issue here is the color maps used, both in the orbit traps and the fixed points. In short, this one’s colors are far too busy. In the orbit traps they bleed into each other and spoil the image’s detail, blurring the definition of the orbit traps and so spoiling the esthetics of the piece. The fixed points outside the orbit traps are too garish for my tastes. I attempt to fix those issues with the image just below, but even this has problems . . . .

This one is a bit worrisome too, even with the color maps adjusted. One, the color map of the fixed points clashes with that of the orbit traps, and two, the orbit traps are split by the orbits of the fractal set, which means I have to define the color map for each orbit region. I have improved things a bit here by lowering the range of colors available for color randomization, my usual method before adjusting color maps manually, so what appears immediately above isn’t that busy. Still, even with a reduced range of colors involved, the mismatch between the earthy shades of the fixed points and the more floral-looking orbit traps becomes apparent. So let’s try for something that doesn’t clash so much:

This one is a reasonably full-sized 1600 x 900 wallpaper, so the pixelation isn’t nearly as problematic. I’ve finally got the image to something a bit less Bad, just a wee bit, because I fixed the color map problems and the orbit trap settings of the previous two. This one had a maximum color map selection by use of randomizing somewhere between 9 and 12, and a minimum of 2, and this greatly improved the colors of the first. This one is much better even than the second in that there was no region-splitting for the orbit traps with the colors I got, so those don’t look out of place with the maps for the fixed points. The colors for traps and points fit much better together here, as I took more time selecting a better match for each. I think that this one seems a better image as a result, but you be the judge using your own sense of taste, not mine!

Tf. Tk. Tts.

# Logico Fractatus | New Wallpapers – 2017.10.24

This time, I have two new images courtesy of Fractal Domains, the very first fractal program I’ve ever used, and luckily can still use on the new laptop. These are among the better outcomes of my Bad Fractals ongoing project. Why Bad Fractals? The goal here is to find grunchloads of fractal making solutions that don’t work, to isolate and point out the ones that do, and thereby create better images in the process. Feel free to use these images if you wish for any non-commercial purposes, just leave a link to the original post or mention of the source when you do! Thanks, and enjoy!

Tf. Tk. Tts.

# Logico Fractatus | Gnarly, Dude!

I’m currently creating Bad Fractals to go into the folder of the same name, for all of my really awful images created over the years. The method behind that madness involves working backward from the Bad images to discover insights into drastically improving the more passable ones, to discover those “10,000 solutions that don’t work,” and to better the ones that do. I’m saving the parameter sets for each new Bad Fractal created, and in between, I’m also creating those that may not be quite as Bad. One of those is tonight’s image, created by MB3D, using the Gnarl formula type and transparency settings. The image links to the fractal’s page in my DeviantArt gallery. Enjoy!

Tf. Tk. Tts.

# Logico Fractatus | Emberon

Vanakkam!

This time, I’ve a new image, a bit dark looking, from one of my favorite presets. I’ve tweaked it a bit, enlarging the file, changing the color scheme and apparent texture, the lighting, and the results seem to work with this one, though that’s debatable. I may work with this set of parameters for future images, but in different regions and magnifications of the figure used . . . if I don’t decide to restructure the parameters themselves…

This one looks to me just vaguely . . . embryonic as well as having a kind of glassy specularity. I may fool around a bit further in future with this by adding true transparencies, even easier with Mandelbulb 3D than with the old Mandelbulber version I’ve used for previous images.

Tf. Tk. Tts.

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2017 by Troy David Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!

# Fractals of the Week | A Project Titanic

This week, I’ve a few recent uploads to DeviantART, a set of five made for a project image from recent updates to an older preset, now reconditioned, and much, much improved. I named these after their suggestion of massive humanoids in ornate armor, generated in four different color maps, and in the fifth, joined together as a single massive image. The first four images are wallpapers, 1600×900 pixels in size, the fifth is itself massive, at an enormous 18000×10126 pixels. All five of these are available as free file downloads or prints on their pages in the gallery. Do be careful in downloading that last, as it well exceeds 60 MB in file space! Click each image for its page link.

Tf. Tk. Tts.

Titan I

Titan II

Titan III

Titan IV

Titans

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!

# Fractals of the Week | 2016.09.07

Talotaa frang (be well!). This week, I present some wallpapers via UltraFractal 5, two of them with an embossed look, as I explore the app’s flexibility with that sort of image. There seems to be a compatibility mismatch between certain formulas and the embossing coloring algorithm, so it’s not going to work for all. I’m in the process of learning more about the code the formulas are written in to expand, through custom presets, the variety of interesting fractal types that may be used. This will be combined with a more thorough look at the formulas and options possible for them, to expand my sample size when it comes to knowing what code of what formulas permit embossing. One thing is a definite improvement over XaoS embossed fractals, and that’s the shading and color that’s possible through UltraFractal.

So here’s a sample of that.

This has a curious, almost spiky quality to it, centering on a mini-Mandelbrot set, almost like a spider at the center of its web. This was a deep zoom, with a slight incompatibility to the coloring algorithm, that apparently did not significantly hurt the image.

This was a normal, non-embossed fractal, using a rings-and-loops coloring algorithm, that I nonetheless had fun with. My favorite is for last…

This uses a Newton fractal type with embossing, and here I’ve adjusted the shading angle sightly for effect.

These images are all 1600×900 pixels in size, so click to humoungify for full size.

Tf. Tk. Tts.

All JPEG, PNG & GIF images in this post are original works by the author, created via a variety of apps and unless otherwise stated are copyright 2016 by Troy Loy. I hereby permit the free, noncommercial use of these images, with proper attribution or a link back to the original source. Thank you!