Monday, November 14, 2011

Negmandel Fibers and Light

As far as I know, It's still only me wandering around in the territory that I call "Negmandel". I'd love to hear from anyone else who's been exploring there, and what they may have called it. It is a very strange and beautiful place.

The way that I am rendering it, is probably relatively expensive, which is both a good and bad thing depending how you look at it.

There is doubtless lots of potential for speeding things up: for one thing, most of UltraFractal's optimization is geared towards early bailout of the orbit iteration, which negmandel doesn't do at all, since all the orbits are convergent and the Mandelbrot formula that I'm using (the standard generic one) only has an upper bailout.

On the plus side, I get this feeling that I'm unearthing something rare and inherently valuable here, and it keeps my cpu's busy working on something of interest.

On the downside, because it's slower,  more patience is required for fruitful exploration. It may also be a bit environmentally wasteful, if there does turn out to be a way of getting these images rendered using a millionth of the compute resources, then I'm not making very good use of the electricity.

Without further investigation into these questions, for now I feel that it is worth exploring this odd mathematical landscape and it gives me great pleasure to share these recent negMandel discoveries with you.

This first one rounded out an earlier thread of investigation by filling in some finer details through increased iteration:



I cracked open an old ("wicker") negmandel setup that produces some lovely textures like some kind of woven crystal light-fibers:













Which led to this lovely series with a sense of glowy blue light landing on yellow substrate:















Some shifts in coloring:





And some random bits and pieces - it's hard to make sense of anything coherent here - they're both intensely chaotic and orderly at the same time:









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