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I'm putting together a page on mandelboxes, --and without getting into hybrids yet--,
Am I semi-right in thinking there are 3 main 'categories' (or more accurately, fun places to explore for beginners) of the basic box?
Positive, Negative & Rotated.

Here's one of the illustrations. The top row, first 2 images are by bib, hgjf_radiolaria. All the others are ones I did in mbulber.

Hi Miqel,

Great idea to try to categorize mandelboxes! I agree with your architectural positive boxes, but I don't think negative boxes are organic by nature. I guess the "crystaline" qualification is a good one, though. In my opinion, the rotation is the transformation that's responsible for the "organic" modification to the mandelbox, either positively scaled or negatively.

It may be interesting to compare your categories with Tglad's general fractal categories. Maybe there's a possibility for some symbiosis there...

Regards,

Marco

Oops, well spotted miqel, these were negative scales indeed. 

That hurts my brain!

Well, its not so much the 4th dimension that hurts my brain, its the idea that its cut in 3D!   I mean, am I cut in 3D?  And, if I was, how could I tell?

@Jessee

Hi thanks for posting those .. yeah that'd definitely be a new category.
Are those renderings the equivalent of something like a Tesseract, just a regular 3d 'shadow' of 4space?
Very cool, i'd love to see more! I'm fascinated with the 4d equivalents of the regular platonic solids, so seeing it w/ fractals is awesome.

I stayed up ALL NIGHT the past 2 nights experimenting with rotated boxes, testing if applying rotations in various combinations of the powers of PHI (Phi7 down to -5phi) yeilds any unusually aesthetic results. So addictive ...   :

My theory is that since Phi is a proportional ratio that is both aesthetic to the human eye and also 'functional' in some structural way (judging by it's frequent appearance in biology, physics, etc) - that maybe making the rotations various powers of Phi would yeild distinctively harmonious results.
So far I can't tell, i'll have to compare to other methods to see any aesthetic trends.
+ i'm still learning about the ABG axes and trying phi and number sequence combinations on the main rotation planes.

Here are a few that i'm tweaking for later exploration ....
For comparison purposes, first a pristine
-1.5 Mandelbox with A=0 B=0 G=0



-1.5 Mandelbox with A=Phi5 B=Phi4 G=Phi2



-1.5 Mandelbox with A=12 B=0 G=12



-1.5 Mandelbox with A=Phi6 B=Phi6 G=Phi6  (This one looks really wild -plenty of weird branches & knobs!)

missed the question: no!

sure (but a bit offtopic here!)