Of Mandelboxes and Mandelbulbs

"Cave of Lost Secrets" - Daniel White - via Skytopia

I've decided to break away from the "Patron Saints" series for a bit, and fast-forward to the present, specifically addressing some wonderful aspects of the new technology now at a digital artist's disposal. This blog, Trans-D, theoretically has Trandimensionalism at its core, so, what better way to illustrate the possible expressions of this idea than to display the kinds of "dimensionalizing" innovations already available in digital formats and formulas?

Benoit Mandelbrot, of course, is our demi-god in the field of trans-geometry. He was the man who single-handedly pulled those Euclidean cobwebs from our eyes, allowing us a new view and a new terminology of geometrical possibilities. From the dull wasteland of mathematics, Manedlbrot presented us with the lovely and enigmatic Julia Set, and a dizzying array of fractal dimensions leading eventually to a new art form - via the computer - never before conceived of. For example, there are the fractal "quilts" created by artist Rose Rushbrook, and the mind-blowing fractal worlds of Krzysztof Marczak - whose work also appears below, and on this site - and the amazing work of Daniel White shown above. His site, Skytopia, is both a treasure trove of information and examples of new fractal forms. 

Fractal forms have, indeed, evolved in recent years, enabling us to view the multiple dimensions of fractals enfolded in 2-D, thereby explicating the visual aspects of mathematical equations and setting them in motion. The techniques used to create the wonderful videos below are found under two key headings; Mandelboxes and Mandelbulbs. Observe the two videos below and hold on to your proverbial hats!

The first is entitled "Like in a Dream II" and is the work of Jeremie Brunet from France.

The second is "Trip to the center of a Hybrid Fractal"  by Krzysztof Marczak.

Apart from the sources already mentioned, Mikael Hvidtfeldt Christensen has a blog, and there is also this informational resource, and a forum.

Can't get enough? I have just posted a series of videos (up to and including those shown above) on the sidebar of this blog under "Mandelbox Videos". I have also posted two more - "Alien Hive" by David Pearson, and "A Journey Through Fantasy - Vorticity" -  on Post-Mac Blues (my other blog) here. Meanwhile, if you happen upon this post and feel that you might have suggestions, corrections, or information worth sharing, then please comment here or email me, Dia, at: araqinta@att.net.