Category Archives: Fractal Images
Fractals of the Week: Julia Sets Frenzied and Fierce
G’day. There’s been work done on FD with Julia sets lately, employing the complex plane coordinates of [C -0.835 ; + -0.2321] used to generate all of the following images via a Mandelbrot set (Essentially a map of Julia sets where each point on the complex plane has its own unique Julia set associated with it).
Julia sets generated in this manner have a sort of exact self-similarity, and some areas of the figure tend to look much the same at any scale, so creative use of parameter settings is recommended when generating these!
This particular set of images strikes me as kind of odd-looking, perhaps dragonish in shape, but employ the simple maths used to generate them in ways that take full advantage of the variations possible even with the same basic formula and seed coordinates.
Have a happy Thor’s Day!
Wyrm of Spines
Waterbound
Aspect Null
All JPEG, PNG & GIF images in this post are original works by the author,created by
way of XaoS, Mandelbulber or Fractal Domains, and are copyright 2013 by Troy Loy.
Fractals of the Week: Blogging Hiatus Thumbnail Edition
Happy Thor’s Day. This is going to be one of the few time-sensitive items I’ll be publishing over the next two weeks or so, including the Sunday Evening Commentarium and maybe the Weekly Gnuz and Lynx Roundup if I can squeeze that in.
For the most part, all updates to this site and its sister sites will be queued to pop up online at prescheduled intervals, and I’ll be using the time not spent on blogging for study, as I’m now finished with the math course I was taking, and will now be taking others and doing badly needed research, and do work on my fiction draft completed last year, sadly neglected though it’s been.
The images for this post all come from display pieces I’ve recently generated, via both Mandelbulber and FD, and all measuring at full size, printed out, at 5×5 ft, or 4320 x 4320 pixels.
Eye’m on Fire!
Divinely Comedic
Universals
Divinely Comedic II
All JPEG, PNG & GIF images in this post are original works by the author,created by
way of XaoS, Mandelbulber or Fractal Domains, and are copyright 2013 by Troy Loy.
Fractals of the Week: Newton’s Method Edition
This week, I’m featuring some sample work I’ve been doing with Fractal Domains, namely my favorite sort of images generated by that app, those that use the Newton-Raphson method, used for solving an equation in one variable, here applied to fractal geometry. I find the graceful curves of these images rather striking, and to me, having an alien beauty when seemingly glowing against a dark background like phosphorescent lace or spider’s web. The titles are nonsense words that came to mind as I uploaded the images.
All of the images derive from custom modifications of the basic formula, namely by the addition of extra terms with higher exponent values, here in multiples of 2.
Pareidolia quiz: What do these remind you of?
Toklafeld
Phledilus
Tembritu
Slidantul
Rastepetp
All JPEG, PNG & GIF images in this post are original works by the author,created by
way of XaoS, Mandelbulber or Fractal Domains, and are copyright 2013 by Troy Loy.
Related articles
- For a Fistful of Fractals… (buddhakat.wordpress.com)
- The Pattern of Nature (scubajeff8.wordpress.com)
- The organic geometry of Tom Beddard’s FabergĂ© Fractals (theverge.com)
Fractals of the Week: Shattered Worlds
Here are a few of my favorites from this and the previous week. I’ve been experimenting with scratch-built parameter sets using Mandelbulber…
Ripped
Helm of Orrn
Shatterlocke
Incoming!
Shredd
Moloch’s Bane
All JPEG, PNG & GIF images in this post are original works by the author,created by
way of XaoS, Mandelbulber or Fractal Domains, and are copyright 2013 by Troy Loy.
