Mandelbulb and Mandelbox mix

[Buddhi]

Close-up of previous image


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

[kram1032]

It's like a whole system of planets with vegetation

I'd love to live on one of them

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

[twinbee]

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

Great find. Worlds within worlds...

[KRAFTWERK]

Totally alien Buddhi!!! 

Thanks!

[Buddhi]

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/index.php?action=gallery;sa=view;id=1866

[kram1032]

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

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)

[Buddhi]

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;

[kram1032]

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

[aluminumstudios]

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

[Timeroot]

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.

[visual.bermarte]

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

<a href="http://www.youtube.com/v/1ffrrWA_E5I&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/1ffrrWA_E5I&rel=1&fs=1&hd=1</a>.

[Buddhi]

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

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

[visual.bermarte]

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

[trafassel]

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

Scale = 2

[David Makin]

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"



If no image above then just click the link