Fractal of the Week | Newton’s Waking


Screen Shot 2015-11-27 at 13.33.05

This is one of my more recent forays into using a different formula numerator for Newton’s method fractals. I’ve lately been looking into improving some of my better-looking, or perhaps less odious, early images for larger file sizes suitable for use as prints.

The title of this piece derives from a term used as an objection to early modern science in a poem written by William Blake, the phrase ‘Newton’s sleep’ where the Newtonian worldview was decried as being somehow deadening to the human spirit or ‘soul.’ I propose instead that science as it was then, and as it is today can do much to advance the human spirit without saddling the same with metaphysical baggage or unverifiable concepts.

As a skeptic, I don’t deny the soul, but instead define it as the complete pattern of information making up a human being, or any other living thing capable of self-awareness, of the same substance as the brain and body. At the very least, it avoids frivolously multiplying concepts, and still manages perfectly well to explain human thought and behavior.

The math used to generate all of my work is unequivocally the product of science, which in turn derives from philosophy. Newton described himself as a natural philosopher as the term ‘scientist’ wasn’t coined until the 19th century. Hence, “Newton’s Waking.”

I’m still tweaking the preset that gave rise to this piece, and will post some of the more interesting examples here in future installments.

Tf. Tk. Tts.

Lucas_Plus_One

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 | Come Halley or High Water!


Screen Shot 2015-11-27 at 13.38.40

This week, I’ve a few pieces done using the math of Edmund Halley, of comet fame, whose method for finding square roots bears some similarity to Newton’s method, but which can produce images of wholly different character. A few years back, I found such math challenging to work with, but with time I’m increasingly satisfied with the results. Here are two of them:

FD_QEO

An alien spider at the center of its web? Maybe. It’s currently untitled, and this piece like the next does not make use of quasi-3d orbit trap settings. Both of these use only the limit set, brought out by the color mapping of each piece to best effect. Well, best out of a series of attempts using a coloring randomizer, and selected from those that didn’t make the cut as either too pixelated, or too garish. Many of you are aware that I tend to avoid colors that one might find on a psychedelic black light poster from the 1970s. That is, unless requested to do otherwise for commission work.

FD_QDR

This one is a bit more anthropomorphic, perhaps suggesting a face, or a badly drawn ancient medical diagram of an absurdly over-muscled human figure. I was less displeased with the coloring for this one, and I think I’ll keep it in my archives. I’m currently updating the file addresses of all my pieces, from the very first set of image folders to the very most recent. It’s coming along quickly, and perhaps once finished, I’ll have time to improve on this piece, as I intend to do for my more interesting early pieces, themselves far too small to make good prints, but otherwise decent.

It pays to revisit old apps with not-so-old ideas. Now then, I have cats to attend to. May you all have a beautiful time of what remains of the week, and I’ll see you sometime.

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 | “Labyrinth, When the Stars Fell”


Screen Shot 2015-11-27 at 13.38.40

This week, I have a few pieces that were really fun to play with, from reconditioned older parameter sets given new life. I’ll be a bit minimal on introductory text, as we are busy getting the new cat used to the home, and especially the other cats. I’m taking pictures tonight if I can get Ricky to stay still and not run away from the camera!

Tf. Tk. Tts.

Starfall on the Labyrinth World

This one was interesting to work with, combining Sierpinksi, Mixpinski, and Mandelbox into an odd hybrid mishmash, but one that worked well. Among the things it suggests to me are the walls of a sort of alien hive, though not Xenomorphs, but something stranger, like maybe Hounds of Tindalos, which show a marked preference for angles, especially those of time. It would certainly be a place where they could easily get to any victims who wandered in, given that the Hounds can use angular surfaces to attack. This also has evoked a resemblance to a city seen from a Goblin King’s eye view, with labyrinthine walls and bluey glowing pits or maybe meteorite craters, for goblins to toss their stuff. My friend Jason Avery gets credit for the title.

Clearance for Launch

This piece uses a similar set of parameters, the inputs used to tweak the math which generates the final image’s appearance. It zooms in, or magnifies the image much more than the previous piece. The somewhat prosaic title comes from the image of a starship taking off from a spaceport. But what’s going on with it?

The glow effect could show a mix of things going on, but whatever it may suggest, that’s a lot of light being thrown about, whether the daylight of an extremely nearby stellar primary, the fiery reaction mass of spacecraft in liftoff, perhaps a spaceport in the process of exploding in a very nasty way while evacuees desperately try to escape from impending disaster, like a gargantuan solar storm. What you see is up to you!

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 | Horrid Parameters of Algorithmic Doom!


Screen Shot 2015-11-27 at 13.38.40

G’day. I’ve got a few odd little pieces, three uploads to DeviantArt created via Mandelbulb 3d v. 1.8.9. They’re made using recently created custom presets, as there’s been much experimentation lately. I’m providing the base parameters for each preset as text in this entry after the image descriptions. The text may be copied and pasted into one’s own copy of the software, and tweaked or modified as desired. Let’s see what eldritch visions come forth!

Tf. Tk. Tts.

Edifice

This one kind of had me stumped as far as what it evoked, though if I had to guess, I’d say some kind of alien monument or computer core with floating memory banks, perhaps like the scene in 2001: A Space Odyssey where the supercomputer HAL 9000 was being disassembled by astronaut Dave Bowman, memory units drifting about in microgravity as the insane computer’s mind was dismantled. Frankly, I never did like the star-child scene at the end, a bit too mystical and New Agey for my taste. Brilliant science fiction, though, despite the departures from the original book by Arthur C. Clarke.

Eukarion

Here we go with what reminds me a lot of some kind of biotech craft hovering in flight in a biotech city. Eukarion gets its name (vaguely) from those complex organisms with living cells containing organelles, like mitochondria and a nucleus, the eukaryotes. This group of living things includes all multicellular organisms, like us, cats, wombats, tomatoes, krishnakali flowers, mushrooms, and even the tiny single-celled protists, and excludes those simple organisms lacking organelles, like bacteria and archaea. I got the impression from this image of a civilization strong in the biological sciences, and weak in other sorts of technology. What sort of strange weapons might they have?

Brond

This one I dislike the very least. It reminds me of some kind of alien fortress among a fleet of spacecraft, or perhaps adrift in an implausibly symmetrical asteroid belt. The name comes from a planet in the Cthulhu mythos, Tond, with an orbit perpendicular to the other planets and a extremely long orbital period, and from the name of a human-scale Zentradi in the old Macross series, given as Bron (the heavyset fellow with wavy ginger hair) in the American version, Robotech. The name, plus the image, conveys to me the suggestion of massiveness and alienness with its dense, solid-looking, but detailed form.

But what do you see in these?

Here are the parameters in text form for the presets used to generate these images, in order: Copy, paste, and tweak, create your own as you wish. I’d appreciate attribution for these though, and if you post the results online, a link from the resulting image to this post would be wonderful. Thank you!

Edifice (MB3d124):

Mandelbulb3Dv18{
g…..N…Es….w….2….kpfNWNntP5.jHblHMkg9/EWgMhUlOF6z1……….6wXky/XYq/k
…………………………..IAUPHhglX/2……..Y./………………y.2…wD
…Uz6….E0…./M.0/……E1…h0….E3…..YWrrTpwi4kD/……….h/dkpXm1.aNaN
z…..cD12../……….wz……………………………U0…..y1…sD…../..
.z1…sDZN.nB.GEUiHFm7zteXLzy0……….37bwbfCSxvHN4kQ1U22cv……….U……..
………….IYQmTiuspjDU…..Y2…………..sD.6….sD..G…………………
………….oAnAt1…sD….zw1…………………………………..H….k1.
…..Ksulz1…….kz.wzzz1.U..6.P….61…kF….m….c3….F….6/…I1…..SF52
…U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD6EdGkxmWcz1………..k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0………./EU0.wzzz1………..s/……………….E.2c..
zzzz………….0……………….2./8.kzzzD…………8………………..
/EU0.wzzz1……………………………..EeYh0U7EgU7zzVJft7.oQm2oszDaaNV.YXB
bYHzTB5Ji0k6Ukl6QsrO3a5.a.l0a.bTzief.M029M0lytrIL0U7EgU7MwbRIG8.a.l0akqTjKeZ.M02
9M0kzlIIu0U7EgU7…crIGJzzFoTuIdyzngi8qdxzZX.4rU…………………………..
E….6E.F2U/….I….Y….EE0x4SKBpLdBKNi31……………………………….
0………………..tMaNaNaNavjAnAnAnAnI.2……………….zD……..Uz1…..
……………………………………………………………………..
…………………E…..3….1….wJEh3aSdtqN0x4SHBJFm…………………..
.Qk0……………..oAnAnAnAH.E……..Uz1……..wz………………………
……………………………………………………………………..
…………………………..}
{Titel: MB3d124}

Eukarion (MB3d45)

Mandelbulb3Dv18{
g…..N…Es….w….2….kzCtBst3P2.Hjv4sMdb70EsogYMtyv8zXgbExcFE2yz0IybmMazt.k
…………………………..h0uePi51M.2……..Y./………………y.2…wD
…Uz6….E0…./M.0/…..kC0…B0….E3…..AIWGhPTJooD/……….m/dkpXm1…..
z…..cD12../2EAamlYCS7qz.3iGZuelZzDV8werxVz5.A………..U0…..y1…sD…../..
.z1…sD1ZcIvqL3Bx1……….0………………..kE78pixJFHz……….U……..
………….AIWGhPTJooDU…..21…………..sD.6….sD..G…………………
………….oAnAt1…sD….zw1…………………………………..E….k1.
…..Ksulz1…….kz.wzzz1.U..6.P….61…kD….m….c3…kE….6/…I1…..SF52
…U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD6EdGkxmWczX………..k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0………./EU0.Qtmz1………..s/……………….E.2c..
zzzz………….0……………….2./8.kzzzD…………8………………..
/EU0.wzzz1………………………………uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB
bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02
9M0kz/uBZ.U7EgU7…crIGJzzFoTuIdyzngi8qdxzZX.4rU…………………………..
E6…6..F2U/….2….A….EEh3aSdtqNU6oPs/UQ……………………..k/9…….
……….EnAnAnAnA/.7NaNaNaNavj……..kz1……………………………….
……………………………………………………………………..
…………………6…..3….3….2YEjVLHjFqGVlKO……………………….
.QU1……………..oAnAnAnA1.EnAnAnAnAXz1……..sz………yD……..Uz1…..
……………………………………………………………………..
…………………………..}
{Titel: MB3D45}

Brond (MB3d33E)

Mandelbulb3Dv18{
g…..N…Es….w….2….EC5ngdW7U5.fOgCUL91q/kFKUJLcgiDxPY3Mp38fvHzmTmUVqz/s/k
…………………………..z6/6hFuw012……..Y./………………y.2…wD
…Uz6….E0…./M.0/…..ET3…B3….E3…..IbXUg8yn7eD/…….6/hd/dkpXm1….U
./….UD12../.kiRMh878uwzk8NYagtG.xjU.oj9osQE.A………..U0…..y1…sD…../..
.z1…sDG6POFF94OuX2maKIoWVay0……….G6POFF94OuX2maKIoWVay……….U……..
………….EbXUg8yn7eDU…..Yd…………..sD.6….sD..G…………………
………….oAnAt1…sD….zw1…………………………………..Z….k1.
…..Ksulz1…….kz.wzzzH.U..6……61…UD….U0…s/…U2….4/…I1…..SG5A
…U.0aZczDM6/nzMg2czX6dE16.0c..zrhe..UoK/nl2xvj6sM93P58izX………..U.8.UQgk0.
.wUmc2beYz1.dA8E5Exwz0………./EU0.wzzz1………..s/……………….E.2c..
zzzz………….0……………….2./8.kzzzD…………8………………..
/EU0.wzzz1……………………………..srGw/.y3q/yzzVUDO9..1Ak.vzDEF3G.UDn
5VTzTp5Zi/kaqaPiQsrFLi4.sLM5s1bTr4uG.UTVRUDlyloWB0.y3q/yMwrf6h5.sLM5snqT2KdV.UTV
RUDkzZvdx0.y3q/y…y3q/bzz/k.1Akyz1yATomxzpaqaffhJLRoFLOdtWOkR4……………..
E….6E.F2./….2….A….EEh3aSdtqNU6oPs/..m…………………….k/9…….
…………………pAnAnAnAHzjOaNaNaNa/.2……………………………….
……………………………………………………………………..
…………………M…..3….9….AJOZ75QdtqQfZ4B……………………….
…….1Ak.1Ak…….MaNaNaNaNzDZNaNaNaN4.YaNaNaNaNqz………zD……..kz1…..
……………………………………………………………………..
…………………………..}
{Titel: MB3D33E}

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, as long as proper credit is given for them.

Fractals of the Week | Mandelboxosity, Mandelmonstrosity


Screen Shot 2015-11-27 at 13.38.40

G’day! this morning, I present four images from recent experimentation using Mandelbulb 3d, all based on a custom preset which I’ve labelled MB3d55, each of them of distinct Julia sets with slight variation in the seed numbers used.

These seed numbers all derive from 3d spatial coordinates located on a Mandelbox figure, just as the ordinary Julia set in 2 dimensional fractals derives its seed numbers from a unique point in the base fractal set, often the Mandelbrot set, or other similar figures. In short, there is an infinite set of possible points, and so an infinite range of possible seed numbers.

It is these seed numbers that determine the resulting precise form of the figure. Each set is unique at any given level of magnification, with those of closer seed numbers bearing closer resemblance to each other.

The first three of today’s post are uploads to my DeviantART gallery, the fourth, a direct upload to WP at 1600 x 1200 pixels. May you have a great Wednesday, and an excellent week ahead! I’ll try to make the best of it…

Tf.Tk.Tts.

Cybratine

Byeotron

Flutterbot

MB3D55UTAA

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, as long as proper credit is given for them.

Fractals of the Week | From the Bleeding Edge of Chaos


Screen Shot 2015-11-27 at 13.38.40G’day. This installment features some new wallpapers, uploaded directly to WP, from recently created custom presets. These were fun to create, and represent the use of hybrid formulas involving in some combination Mandelboxes and Mixpinski formulas.

I’m taking this week and next to practice on and consolidate my learning so far in Bengali, concluding the first semester of study in seven weeks after, then moving on to the next period of eighteen weeks. I’ll keep you updated as I make suitable progress. Right now I’m focusing on vocabulary and script practice by hand, working on my penmanship and writing speed.

But on my break periods between study, I’ve been creating scads of new presets for cool images to post, rebuilding old presets to newer and better ones, and working once again on a project I’ve just returned to as of yesterday; the completion of my first color portrait of my Gods of Terra character, the Rani of Stars. I’ve completed the first hand-inked drafts, and now have the digital file set aside for later and more extensive editing; the lines, some of the color, and adding the Rani’s star-field before posting the final image. I’m looking forward to getting back to it over the next few days.

So, here are the favorites of my collection for the week. Have fun with these, and as always…

Tf.Tk.Tts.

MB3d114B8654645

MB3d114B865469

MB3d114B8654646

MB3d114B86547

MB3d114B8654647

MB3d114B8654648

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, as long as proper credit is given for them.

Fractals of the Week | Random Acts of Zodd


Screen Shot 2016-01-12 at 18.57.26

G’day. namaskar. slamalaikum. Ave. Ohayo gozaimasu.  Greetings in English, Bangla, and two other languages I’ve studied in my impetuous and impertinent youth decades ago; Latin in high school; Japanese during my days as a diehard anime fan in the late eighties and early nineties. Needless to say, I’ve lapsed in fluency in both over time. Like my Japanese teacher in community college once said, “If you don’t use it, you lose it.” Mrs. Sayoko, you were, and are, so correct.

This week, I’ve a few more pieces that I’ve uploaded to my deviantART profile while I try to make time to study this morning and the next. But first, a few points on my study…

At this moment, I’m working on an issue which has long plagued my study of languages in recent years, particularly with the three languages I’m working with now: low confidence in my command of them despite any actual ability, and an irrational reluctance to “show off” when posting on my progress. I find this annoying, as it delays the crucial publishing of the Lost in Translation series on this blog, and impedes accurate perception of real progress in all of the three.

There’s also a dangerous tinge of perfectionism there as well. Bad Troythulu! Irrational thinking!!

But I want what I post on them to be the very best I can do. Most important is to be accurate, even given local variations in native speakers’ use due to regional differences (like the distinctions of use for speakers in West Bengal and Bangladesh, respectively). That last is most important, but also important is to allow myself to make mistakes during the learning process. For instance, I still sound just a little like a stereotypical foreigner in a Bengali comedy, with my pronunciation of consonants like ত, থ, দ, ধ, ট, ঠ, ড, and ঢ, though less so as I manage to squeeze in some practice. Proper aspiration of the consonants is coming much easier than before, and currently I’m figuring out the intricacies of the dialogue I’m on. I’m not moving on until I finish it and can fully, fluently, and accurately answer the quiz at the end of the unit.

So, here are the images. I had a lot of fun working with these, and new presets came out of the deal along with the pics. Here’s to conquering my perfectionism so that I can get those study updates finished. After all, I believe that strong claims require strong proof, and nowhere is that more obvious to me here at my workstation at this wee hour of the morning.

Stay awesome, people.

adab.

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, as long as proper credit is given for them.