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Author Topic: BulbBox - An Amazing Fractal extension  (Read 10315 times)
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Jesse
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« on: February 24, 2010, 05:45:03 PM »

NOTE: This Post was a reply in the http://www.fractalforums.com/images-showcase-(rate-my-fractal)/interior-shots-of-the-mandelbox/ Thread!  afro



Impressing images, twinbee! I love the excellent shadows.
Lowering the Bailout could be like "ruins after some thousand years", maybe. There are lots of options, astonishing.

Tglad, are the last two ones still the default formula? Nice locations.

Just took a timeout from programming and did some experiments, i present a kind of "bulbox"  smiley

Only change is to use the bulb formula when square of R is below 4...
all cut at Z=0

scale=2


scale=3 (this may be also a 2D option with default and perpendicular Mset + some other 2D sets?)


scale=3 and multiplying the values for the bulb by 10


zoom into and using the bulb formula when R is below 0.04


same, but using minR of 0.25 for the box


« Last Edit: February 24, 2010, 07:23:32 PM by Trifox » Logged
bib
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« Reply #1 on: February 24, 2010, 05:51:22 PM »

WHAOOOOOO ! This is really incredible. The potential of 3D fractals never ceases to amaze me. What a fantastic find! These pictures are totally CRAZY  afro afro afro
« Last Edit: February 24, 2010, 05:54:03 PM by bib » Logged

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Jesse
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« Reply #2 on: February 24, 2010, 05:54:30 PM »

Wondering, if there are more "flying chickens" somewhere in the last one  wink
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cKleinhuis
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« Reply #3 on: February 24, 2010, 07:21:02 PM »

as you might have noticed, i took the time and split this topic in a completely new



again amazing, i think this method can be used in a more general manner, i am a fan of combination methods of formulas, like alternating a formula, but this method offers new possibilities:
define some radius treshold, and use completeley different formulas for each of these thresholds, here we would have 2 formulas, the box, and the bulb!
finally a method i can implement using UF5 reb.uld Quat formula, with object codes, will send impressions this evening !

Jipiii!
« Last Edit: February 24, 2010, 07:23:00 PM by Trifox » Logged

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David Makin
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« Reply #4 on: February 24, 2010, 09:37:47 PM »

Excelent - I was contemplating the same idea to put a Mandelbulb in the middle of every Sierpinski Tetrahedral space smiley
I did essentially the same thing in 2D a while ago but just using 2 IFS fractals, including wrapping the image around the standard Mandelbrot:

http://www.renderosity.com/mod/gallery/index.php?image_id=1191072&member
http://www.renderosity.com/mod/gallery/index.php?image_id=1083644&member
http://www.renderosity.com/mod/gallery/index.php?image_id=1075961&member
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bib
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« Reply #5 on: February 24, 2010, 09:43:02 PM »

OK David, now I want to be able to do the flying chicken in the amazing cube with 3D ferns and Menger sponges all around. Is that possible in a single layer? cheesy cheesy
« Last Edit: February 24, 2010, 09:45:53 PM by bib » Logged

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cKleinhuis
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« Reply #6 on: February 24, 2010, 11:27:14 PM »

here are 2d slices of:

first: a mandelbox and a mandelbrot formula in 2d plane


second: a zoom somewhere

third: a mandelbrot^8 and a mandelbrot^2 at an separator distance of 1.0

the brot8 and8 combination yields interesting results when played around with the parameters ( i am with gpu here wink )
 afro


* brot+box.jpg (54.84 KB, 800x426 - viewed 472 times.)

* brot+box_zoom.jpg (22.86 KB, 400x212 - viewed 1288 times.)

* brot8+brot2.jpg (16.14 KB, 800x422 - viewed 460 times.)
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Jesse
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« Reply #7 on: February 24, 2010, 11:50:46 PM »

Excelent - I was contemplating the same idea to put a Mandelbulb in the middle of every Sierpinski Tetrahedral space smiley
I did essentially the same thing in 2D a while ago but just using 2 IFS fractals, including wrapping the image around the standard Mandelbrot:

Very nice, i want a slightly different bulb in each round hole in the Box, where now is a little cube instead  cheesy
So we had just one formula with all possible bulbs which parameters are varied by the specific location...
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Jesse
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« Reply #8 on: February 26, 2010, 01:26:34 PM »

again amazing, i think this method can be used in a more general manner, i am a fan of combination methods of formulas, like alternating a formula

Good idea, here are the alternating results...

first iteration bulb:


middle detail:


first iteration box:


zoom:


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KRAFTWERK
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« Reply #9 on: February 26, 2010, 01:50:29 PM »

WOW, that "middle detail" looks like a mandelbulb at a distance, but is a mandelbulb of mandelbulbs, this is toooo much!!!  
afro afro afro afro
afro afro afro afro
afro afro afro afro
afro afro afro afro
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Jesse
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« Reply #10 on: February 27, 2010, 12:00:00 AM »

Testing the reverse mode:
doing the bulb iteration on R > 2 and scaling the bulb by 10...
refections inside the bulb from the outside because of the spheric folding???

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« Reply #11 on: February 27, 2010, 01:05:20 AM »

refections inside the bulb from the outside because of the spheric folding???

What's the radius of that little "Mandelhole"? If it's equal to 1/2, then I'd be willing to be it is... is there any way to check easily with the software you're using to render these? Personally, I would love to see the Julia Set of the fractal... I'd expect it to have an infinite number of these little holes... A real Swiss cheese Mandelbulb.  grin
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« Reply #12 on: February 27, 2010, 03:13:33 AM »

  A tip for the higher order ones (z^4 on up): set your scale value lower.  Lowering the folds and other values can help renders too, but you lose more details that way.  Learned about the scale thing 5 days ago (at around 4am... go figure, there's that time again) when I was making the first full-hybrid rotational/amazing fractal types over in this thread.  I even mentioned trying the bulbs in the very first sentence of the thread.. so you know.  Anyways, I prefer hybrid type D because it reminds me of old video games I used to play, but this one is nice as well.

  Here is a series of z^3's with scale = .5      (Trifox, made them with low quality jpeg so they take up less HD space)

Bulb type 1, bulb type 2, Type D.1, type D.2:

  Then some z^5's, same order
Bulb type 1, bulb type 2, Type D.1, Type D.2:

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kram1032
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« Reply #13 on: February 27, 2010, 06:56:30 PM »

OMG, great new variations O.o

Those bulbox mixes are amazing!
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Jesse
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« Reply #14 on: February 27, 2010, 09:16:38 PM »

  A tip for the higher order ones (z^4 on up): set your scale value lower.  Lowering the folds and other values can help renders too, but you lose more details that way.  Learned about the scale thing 5 days ago (at around 4am... go figure, there's that time again) when I was making the first full-hybrid rotational/amazing fractal types over in this thread.  I even mentioned trying the bulbs in the very first sentence of the thread.. so you know.  Anyways, I prefer hybrid type D because it reminds me of old video games I used to play, but this one is nice as well.

Ah, now i found the code, i think type-D is the second code in the thread you mentioned...
So you already did the alternating hybrid, very nice!

I guess i have to program this in a general way, choose 2 (or more) forumlas in a row. I like these hybrids.

And yes, too high scale values would thin out the structures too much, as can be seen in my versions.
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