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I made experiment with mixing Mandelbulb and Mandelbox formula. I used cubic folding algorithm from Mandelbox before mandelbulb formula.
double scale = par.power;

Pseudocode:
if (x > 1.0) x = 2.0 - x;
else if (x < -1.0) x = -2.0 - x;
if (y > 1.0) y = 2.0 - y;
else if (y < -1.0) y = -2.0 - y;
if (z > 1.0) z = 2.0 - z;
else if (z < -1.0) z = -2.0 - z;
new = MandelbulbFormula(x,y,z)
x = new.x + cx;
y = new.y + cy;
z = new.z + cz;

result:
(http://www.fractalforums.com/gallery/1/640_12_03_10_7_34_55.jpeg)
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=1843

Very, VERY, Nice!  :thumbsup1:

Order out of chaos out of order out of chaos...[iterate] :):)

yes awesome! more please =)

Is that pwr=2? What does pwr=8 look like? (Or vice versa?)

this looks nice :D

Very organic :)

Yes, it is pwr=2. I will try with other powers and formulas.

Below there is some close-up. It is much more irregular than normal Mandelbox.
(http://www.fractalforums.com/gallery/1/640_13_03_10_10_33_12.jpeg)

The mountains of Moriah the home of the dwarves and the nameless balrogs!

this looks amazing :D

It mixes the architecture-like structures of the box with the organic brocoli-ish shape of the bulb and the result is an organic-mechanic structure :D

You asked about power 8. Please look at image below

full-res (5120x5120) http://fc03.deviantart.net/fs70/f/2010/072/8/0/Mandelbulb_and_Mandelbox_mix_3_by_KrzysztofMarczak.jpg
(http://www.fractalforums.com/gallery/1/640_13_03_10_9_41_01.jpeg)

hmm, if played with it a bit, this might possibly be brought in the shape of really working fractal gears :D

Now that's what I call a beehive!  ;D

Close-up of power 8 version
(http://www.fractalforums.com/gallery/1/640_14_03_10_11_05_40.jpeg)

 :o That fog effect is great :D

I have changed a little folding conditions. Now are:
if (x > 2.0) x = 4.0 - x;
else if (x < -2.0) x = -4.0 - x;
....
etc...

It looks completely different. Now there are visible 27 separate bulbs and lots of small bulbs around each bulb.

I have just released new version of Mandelbulber with these formulas
http://www.fractalforums.com/mandelbulb-software/mandelbulber-open-source-program-for-rendering-high-quality-mandelbulbs/

(http://www.fractalforums.com/gallery/1/640_14_03_10_3_45_43.jpeg)

Close-up of previous image

(http://www.fractalforums.com/gallery/1/640_14_03_10_5_48_41.jpeg)
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=1851
http://krzysztofmarczak.deviantart.com/art/Mandel-balls-2-157234124

It's like a whole system of planets with vegetation :D

I'd love to live on one of them :D

As far as I can tell, they all look different, right?
Are they ordered in a cuboid way or a little more organic?

EDIT: Oh I see, it's actually spheres, made of smaller spheres, made of...
Well, still interesting to live on one of them :D

Wow, I can't believe the delicate equilibrium of detail survived the merging of two quite different techniques!

Great find. Worlds within worlds...

Totally alien Buddhi!!!  :alien:

Thanks!

Thank you for nice comments.

Next image shows Juliabulb power 2 (c = {-0.6, 0,0}) with folding function:

if (x > 4.0) x = 8.0 - x;
else if (x < -4.0) x = -8.0 - x;
...
(the same for other axes)

Interesting is that now there are visible structures similar to high power Mandelbulbs although power = 2.

(http://www.fractalforums.com/gallery/1/640_16_03_10_7_01_46.jpeg)
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=1866

So this is not a Mbox-folding?

Or are those conditions similar to those from the Mbox?

I somehow always missed the basic Mbox formula^^

This looks great, like a lot of connected fractal ball bearings :D

It's very interesting how this kind of fractals mix organic and mechanic look'n'feel in a very new way :)
(For instance, a car, especially a sports car but basically any modern car, looks very organic and mechanic at the same time but this fractal has that property in a totally different way)

It is a Mbox-folding but only cubic part (without spherical folding)

if (x > 4.0) x = 8.0 - x;
else if (x < -4.0) x = -8.0 - x;
if (y > 4.0) y = 8.0 - y;
else if (y < -4.0) y = -8.0 - y;
if (z > 4.0) z = 8.0 - z;
else if (z < -4.0) z = -8.0 - z;
new = MandelbulbFormulaPower2(x,y,z); //or other 3D formula e.g. quaternion
x = new.x + cx;
y = new.y + cy;
z = new.z + cz;

ah, I see :)
A pretty simple set of if-rules :D

These are both brilliant and beautiful.  The color and lighting in the renderings are quite artistic and stunning too.
 :thumbsup1:

I was just thinking... in combination with "Amazing fractal" (which seems kind of to have died out), and "Mandelbox", I think "Cantor Cube" is another fitting description. It is nowhere dense, (unlike the Mandelbulb), and it takes the form of a cube, like 3D cantor dust. The difference of course being that it's so much cooler.

Hi, here's my attempt using Tglad's cubic folding used by Buddhi.
Made using Subblue's mandelbulb.

http://www.youtube.com/watch?v=1ffrrWA_E5I (http://www.youtube.com/watch?v=1ffrrWA_E5I).

Interesting animation. Which parameters did you animate? Folding limits or Julia constant?

Julia+Radiolaria+Power+camera position and zoom.
It's possible to use variables+sliders for folding's values as well.

Same combination as Buddhis. First Quaternion, then folding in the box (no sphere folding).

Scale = 2

Here's part of the standard z^8 "-sine" Mandelbulb with the standard scale 2 Mandelbox transform applied first on each iteration (rectangular and spherical folding and the scale):

"Thistledown"

(http://fc06.deviantart.net/fs70/f/2010/110/f/8/Thistledown_by_MakinMagic.jpg) (http://makinmagic.deviantart.com/art/Thistledown-161361723)

If no image above then just click the link :)

It is simply beautiful isn't it David?

Thanks :) I think so !

Negative power morphing-test.
Made with Tacitus + TTG(GPU rendering).
(http://fc05.deviantart.net/fs71/f/2010/107/6/a/mndlbll_neg_power_morphing_by_bermarte.gif)