Fractals of the Week | Mandelboxosity, Mandelmonstrosity


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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


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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.

Fractal of the New Year | 2016.01.01


Here’s wishing to all a great year ahead, from me to you and yours. May your days in 2016 be bright, your dreams worthy of remembrance, and your nights large, starry, and full of wonder!

TfTkTts.

MB3D69B~

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 2015 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 | Newtonmas 2015 – On the Shoulders of Giants


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This post marks, only shy of by three days, when this blog was begun on December 28th, 2008, and it marks as well the birthday of scientific giant Isaac Newton in 1642, whose discoveries brought on the age of industry and the scientific revolution, changing the world forever.

So, here are a set of images using the very mathematical technique that he developed along with contributions from Joseph Raphson and others, for finding the zeroes or roots of of functions using real numbers applied to fractals.

May you all have a wonderful winter solstice holiday, however you celebrate it or whatever you call it, with a most pleasant and awesomositous new year. Double click to enlarge these.

Newton_3

Newton_6

Newton_4

Newton_8

Newton_7_Hilbert_Curve

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 2015 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: December 2015 Blogcation Edition


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Good morning, and regardless of which you celebrate this time of year, happy holidays! I’m on a blogging vacation until the beginning of next year…not a complete vacation, as I’ll post now and then, but not on a regular schedule. I’ll be doing site maintenance on this blog and others I sometimes post on, offline writing practice, study, and reading the wonderful blogs I keep up with, including those of many of you. There shall be more fractals as I improve the presets I use to create them, as with those shown here, some wallpapers I came up with while binge-watching Doctor Who and listening to podcasts. I’ll be back to regular posting around the beginning of January, ready to take on the Gregorian new year of 2016 in all its frightful hairiness! I hope that the tail end of 2015 finishes with hopes fulfilled and the promise of a new beginning kept, though we can all count on the vagaries of chance further into the year!

That being said, here are a few blogs I’d like to recommend for you while I’m away:

MB3D33ER

MB3D33W

MB3D33REG

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 2015 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 | Mandelbulbus Ferox


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This week, I’m experimenting with transparency and reflection settings for my next City of Glass project for MB3D. I’m also playing with other images as well, and here are a few of the better results of that play. These are three wallpapers, 1600 x 1200 pixels each, directly uploaded to WordPress in all their horrific strangeness. I’m sometimes playing with Lyapunov images via Ultra Fractal and will be showing those around the holidays when the weather where I live shifts into its customary seasonal chill. May your days be bright and your nights filled with stars!

TfTkTts.

MB3d96QI

MB3D94Q

MB3D33A94

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 2015 by Troy Loy. I hereby permit the free, noncommercial use of these images, as long as proper credit is given for them.