Tag Archives: Beauty

Fractals of the Week | I’ve Got Newton on ‘Dis!


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This week, I feature images using the math of a certain cranky English guy, responsible for the Laws of Motion, and those Harry Potter-esque alchemical experiments in his attic, trying to convert base metals into gold, and create the Sorcerer’s, er, I mean Philosopher’s Stone. These pieces, a couple released for the first time on this blog, also use symmetry transformations, or mapping, from a range of mathematicians, including one (#2) whose work has been featured before, Felix Klein. Regardless of their origination, these were fun to play with, and will be followed by more in future.

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UF5_21C

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Each of the full-sized images measures 1600×900 pixels, so feel free to double-click for complete ginormification.

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!

Fractals of the Week | Of Kaleidoscopes & Sunflowers


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This week’s post has kind of a fusion-reactor theme, in keeping with one of the mnemonics from Wednesday’s post, with a set of three recent images. The original piece is first, then a couple of images I ran through Pixelmator for variations on the kaleidoscope and sun glow effects.

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Obviously, this doesn’t look much like a fusion reactor, at least not a working one. It’s from a new preset using a combination of Mandelboxes. Let’s see what changes the effects bring out…

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This could bear some work on the shading, particularly immediately about the glow, but it’s not too hideous to look at.

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The same for this one, though the purply coloration for ‘petals’ and the glow effect are a good starting point.

Next week, I’ll post more pieces using Newton’s method for finding square roots. See you then!

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!

Fractal of the Week | Brains in Spaaace!


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Namaskar. I’ve been busy with study, working on notes, and creating new presets for MB3d now that I’ve finished resizing older ones to economize on file space, and this so far is my favorite of the bunch. It’s a truly alien-looking object that I’ve rendered as a 1600×900 wallpaper. This seems a good starting point for a larger print-sized image. I’m keeping this one’s basic preset with fewer edits than I thought might be needed during this first render shown here. Double-click to embiggen.

Boltzmann
Boltzmann

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 | Embossed Nightmares


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This week, I’m trying out something different, back to using the (on my system) quirky XaoS app for Mac OS, I’ve got unusual greyscale wallpapers using Phoenix formula images, in this case looking like they were embossed rather than digitally colored. Here are three of them, currently untitled, that I’ve picked out as my favorites from the most recent batch of trial renderings. These stand out much better at full size, when relief is more easily seen. Double click the images to enmegatize…

XS_KPEG

Looking something like a hyper-detailed weevil snout with horns, this one uses the embossing settings plus a way of detecting outlines from the contours of the original color image (not saved as a file).

XS_FPEG

This one was embossed without the outline detection, but uses a means of digitally breaking down the geometric figure rendered into separate regions to reveal interesting detail that shows nicely here in the raised and indented areas. It involved a fairly deep zoom into the figure to a region that showed a wonderfully complex, yet clear, mirrored symmetry.

XS_RPEG

This was rendered at extreme depth into the base figure. Rather than binary decomposition, as with the second, or outline detection with the first, this one uses the biomorphs option, lending it a level of detail and strangeness despite the limits of zooming this far into the figure!

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!

Fractals of the Week | Dystopian Fever Dreams


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I’ve three wallpapers this week, all from reconditioned presets at 1600×900 pixels in resolution. I think that these are a vast improvement on the images first produced using those presets, if a bit dark in tone. Double-click to enmacronize.

Dark Technophite
Dark Technophite

What to make of this one….Some sort of engine or reactor? Or perhaps the core processor of an alien computer? Whatever one sees in this, it doesn’t look friendly or welcoming to visitors, not with all those sharp edges floating about!

Silent Festival
Silent Festival

It’s a celebration! But wait…Where is everyone? Here might be any number of things, but to my eyes looks a lot like a view into a brightly decorated town square with nobody in sight! What happened? Where did they go? This one is a recent draft that I may make into a larger image suitable for full-sized prints. It bears further exploring.

Sutured
Sutured

This is another that I think could use further development, and possibly a bit more tweaking. But the sharp, pointy, evil-looking fibrous edges are a good start, and once finished, will make a good-sized print file!

I’ll explore it a bit further, and post a sample of the best outcome here.

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!

Fractals of the Week | Mendel’s Meddling Mandelboxes


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Namaskar! This week I’ve a few strange ones for you, all full-sized wallpapers at 1600×900 pixels from reconditioned presets. I’m still going through my files and downsizing files while tweaking and otherwise improving the images they render, and to reasonably good outcomes, too!

Mr. Eccles has been ‘helping’ me while making these by playing with the mouse and serving as a nice foot-warmer while kitty-snoring as I work at the laptop. I’m not titling these yet, though I may with larger, print-size pieces once I generate those. Double-click each image to hypertransmagnify.

Stay cool, or warm, depending on your hemisphere of residence, stay cosmic, and as ever…

Tf. Tk. Tts.

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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 | Phractal Madness in Triplicate


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G’day, such as that is with the tragedy over the weekend in Orlando. The previous week has been spent with me being all hermit the crab in my shell in the dark recesses of the benighted abyss, and working on a project for a friend, Sharmishtha Basu, who’s putting together a terrific new ezine, Agnishatdal The Lotus of Fire, and looking for submissions to publish in it. Check it out, and do consider contributing!

This week, I’ve three wallpapers for you. These are courtesy of MB3d, and represent some results of reconditioning older presets to produce something…maybe more interesting than before. I’ve certainly had fun with them, and the time spent tweaking settings, downsizing the files so that they don’t gobble up space on my hard drive and slow down the rendering of new images, has been worth it. MB3d preset files are hogs when it comes to taking up disc space, even more so than the images they are used to render. I suspect that this is because presets hold not only the information needed to generate a new file, but also the full information for the most recently stored image itself readymade to be saved in a given format, say JPEG or PNG. Useful if you need a big, previously rendered image on the fly, ready for lighting and color settings to be tweaked, but not at all easy when the system is overburdened and responsiveness slows to a crawl.

So, here they are.

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This is a considerable improvement over its predecessor, and the resulting image looks all the world like an alien apartment complex, with lots of little boxy structures with a dystopian look worthy of a Philip K. Dick or William Gibson story, contrasted with an unnaturally bright sky. Maybe the sun is starting to run out of fuel and bloat?

MB3d118_7657575

Not sure what to make of this one, though it would make a cool castle or something else medieval where it not for the alienness of the piece. I would either question the architect’s sanity or praise her engineering brilliance if this were actually attempted as a thing to build.

MB3D25_283284

This one looks a bit Industrial Punk with suggestions of oily vapours and interlocking cogs. What the heck was I thinking? On closer inspection, it’s apparent that this probably wouldn’t work mechanically, but who cares?

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!