---
created_at: '2017-08-12T06:08:47.000Z'
title: True 3D Mandlebrot-type fractal (2007)
url: http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/
author: pirocks
points: 53
story_text: 
comment_text: 
num_comments: 8
story_id: 
story_title: 
story_url: 
parent_id: 
created_at_i: 1502518127
_tags:
- story
- author_pirocks
- story_14996686
objectID: '14996686'

---
[Source](http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/ "Permalink to True 3D mandelbrot type fractal")

# True 3D mandelbrot type fractal



| ----- |
| 

|  ![][1]][2] | [  | 
| [Logo][3] by [Trifox][4] \- [Contribute your own Logo! |  |

#  END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON [FRACTALFORUMS.ORG][5]

##  it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,   
thanks and see you perhaps in 10 years again 

this forum will stay online for reference  | 

| ----- |
|  **News**: Visit the official fractalforums.com [Youtube Channel][6]  |  ![][7]    | 

| ----- |
|   |  [Home][8]  |  [Help][9]  |  [Search][10]  |  [Gallery][11]  |  [Downloads][12]  |  [Login][13]  |  [Register][14]  |   | 

![*][15]][2][

| ----- |

| | Welcome, **Guest**. Please [login][13] or [register][14]. | February 23, 2018, 03:10:00 PM     
 |  
|                                                          |                                                           |     

1 Hour 1 Day 1 Week 1 Month Forever   
Login with username, password and session length   
  

 |  
| 

 |   | |

## The All New FractalForums is now in Public Beta Testing! Visit [FractalForums.org][16] and check it out! 

  

[**Welcome to Fractal Forums][8]** > [**Fractal Software][17]** > [**3D Fractal Generation][18]** > [**True 3D mandelbrot type fractal][19]**

| ----- |
|  Pages: [**1**] [2][20] [3][21] ** ... [**37][22]   [**Go Down**][23] | 

«[ previous][24] [next »][25]

|    |  [Print][26] |    | 

 | 

![Share this topic on Digg][27]![Share this topic on Facebook][28]![Share this topic on Google][29]![Share this topic on Reddit][30]![Share this topic on StumbleUpon][31]![Share this topic on Twitter][32]

| ----- |
|  ![][33]  |  Author |  Topic: True 3D mandelbrot type fractal  (Read 386450 times)  |  
|   |   |  Description:  |  
|  0 Members and 3 Guests are viewing this topic.  |   | |

| ----- |
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[True 3D mandelbrot type fractal][39]

« ** on:** September 22, 2007, 11:05:02 AM »

 |   | 

* * *

Hi all!  
I'm relatively new to fractals, but I have searched for hours to find a true 3D mandlebrot type fractal, all in vain. I don't want the raised mountain type of mandlebrot, and I don't want any true (but trivially simple) ones such as the Menger sponge. I instead want a true 3D equivalent of the mandlebrot (or near enough).  
  
The closest I got was the Quasi-fuchsian sphere fractal:  
[http://www.youtube.com/v/3lcO9zRCv-4&rel;=1&fs;=1&hd;=1][40]  
  
However, that is still mostly self-similar. I want the amazing variety that can be found in the mandlebrot. Anything out there?

 |  
| 

|   |  
|  « _Last Edit: October 19, 2009, 10:26:23 AM by Trifox _ »  |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**lycium][42]**

Fractal Supremo  
![*][43]![*][43]![*][43]![*][43]![*][43]  
Posts: 1158  
  

![][44]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][45]

« **Reply #1 on:** September 22, 2007, 11:11:31 AM »

 |   | 

* * *

heya, welcome to the forums. curiously i was just watching arthur clarke describing the mandelbrot set in "fractals - the colors of infinity" ![wink][46]  
  
there doesn't seem to be a direct 3d analogue of the mandelbrot set. you can spin it about the x axis, you can use the same kind of iteration using quaternions, and a whole bunch of other "nartural" extensions ... but in the end the character of the original mandelbrot set is lost.  
  
i've found this is true of 3d fractals in general: it's a bit of a double-edged sword, you gain some things (potentially in realism, structure) but you often lose others (simplicity, especially of exploration). to me the solution is simple: accept the mandelbrot set for what it is, be satisfied and don't try to boost it to 3 dimensions artificially. there are plenty of exciting fractals that exist natively in 3-space, and we shouldn't try to create new fractals with the expectation of looking like old ones ![wink][46]

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

<http://chaoticafractals.com> | <http://indigorenderer.com> | <http://lyc.deviantart.com>

 | 

 | 

 |  
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][47]

« **Reply #2 on:** September 25, 2007, 08:16:44 AM »

 |   | 

* * *

Thanks so much for your reply!  
Even if it wasn't like a 3D rendition of the Mandelbrot, I would love to know of a 3D fractal that has mandelbrot-type beauty and complexity along with the amazing variety. As far as I know, no such fractal exists, but perhaps I haven't looked hard enough?

 |  
| 

|   |  
|  « _Last Edit: September 25, 2007, 09:14:05 AM by twinbee _ »  |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][48]

« **Reply #3 on:** September 30, 2007, 10:08:52 PM »

 |   | 

* * *

I've just spent an exhausting week trying to create a TRUE 3D rendition of the Mandelbrot (or whatever the equivalent would turn out to be). It's been a really cumbersome, if somewhat exciting journey. Although you say we should be happy with the 2D version (which I am), I believe that maths can do anything, and that it's just a matter of finding the right equations to find the jackpot.  
  
To aid me in my quest for 3D perfection, I have tried to use 3 dimensional numbers, and have even creating my own arithmetic around it. At first I was meddling with the basic 2D formula, but trying to mould it into 3D dimensions using simple algebra (expand the equation and simplify). This leads on to questions such as what you would do if faced with i multiplied by j (j being the 3 dimensional imaginary number). Using solutions based around this approach I got some interesting extruded/distorted 3D Mandelbrot objects, but nothing like what I was hoping for (where the Mandel-type detail is surfacing throughout all 3 dimensions).  
  
Failing that, I also tried to visualize what happens in standard complex multiplications, and used rotation techniques, but in all 3 dimenions, instead of the 2D rotation for complex numbers. In the end, I got another "extruded Mandelbrot" which had a sort of bird shape at one cross section of the 3D object. It was quite interesting, but nothing sensational.  
  
Well that's it. Having done all that, I feel fairly gutted, having failed ![sad][49]  
  
Still it was quite fun too. If anyone has any inkling whether 3D mandelbrots could even theoretically be possible, I would love to hear.

 |  
| 

|   |  
|   |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**David Makin][50]**

Global Moderator  
Fractal Senior  
![*][51]![*][51]![*][51]![*][51]![*][51]![*][51]  
Posts: 2286  
  

![][52]

  
  
![Makin' Magic Fractals][53]   
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][54]

« **Reply #4 on:** October 01, 2007, 12:57:36 AM »

 |   | 

* * *

You could probably get what you're aiming for by performing fancy transforms on 3D/4D space prior to plugging coords into quaternionic iteration, though you might consider that as "cheating" ![smiley][55]

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

The meaning and purpose of life is to give life purpose and meaning.  
  
<http://www.fractalgallery.co.uk/>  
"Makin' Magic Music" on Jango

 | 

 | 

 |  
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][56]

« **Reply #5 on:** October 01, 2007, 01:09:31 AM »

 |   | 

* * *

I've had a good look over the net and couldn't see anything coming even close. Even quaternionic fractals (as cool as they are), have mandelbrot-depth fractal complexity in only 1 dimension (they look very 'smooth' on the other two axes - which resemble the extruded 3D fractals I was able to create with 'triplex' numbers as I explained in my post above). In fact, they look like [whipped cream][57] ![smiley][55]  
  
No, sorry, I'm after mandelbrot style complexity in all 3 dimensions. Something similar to the Quasi-fuchsian sphere fractal here:  
[http://www.youtube.com/v/3lcO9zRCv-4&rel;=1&fs;=1&hd;=1][40]  
(except that's mostly self-similar, so it's good but no cigar).

 |  
| 

|   |  
|  « _Last Edit: October 01, 2007, 01:18:14 AM by twinbee _ »  |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**David Makin][50]**

Global Moderator  
Fractal Senior  
![*][51]![*][51]![*][51]![*][51]![*][51]![*][51]  
Posts: 2286  
  

![][52]

  
  
![Makin' Magic Fractals][53]   
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][58]

« **Reply #6 on:** October 01, 2007, 01:44:32 AM »

 |   | 

* * *

I know standard quaternionics is no use, but to go back to 2D, you could apply a 2D manipulation of the complex plane (i.e. x and y coords) prior to plugging them into the standard z^2+c iteration to (for example) give the Mandelbrot an extra lobe - or remove a lobe. In the same way you could manipulate 3D/4D space prior to plugging the coords into a quaternionic iteration (for "roundy" results) or a hypercomplex iteration (for "squarey" results) to produce 3D lobes.  
As you say though I've seen no-one try this yet ![smiley][55] In fact I've never seen any 3D/4D fractal software that allows 3D/4D transformations to be applied in that way (i.e. like UXFs are used for 2D in Ultrafractal).

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

The meaning and purpose of life is to give life purpose and meaning.  
  
<http://www.fractalgallery.co.uk/>  
"Makin' Magic Music" on Jango

 | 

 | 

 |  
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][59]

« **Reply #7 on:** October 01, 2007, 01:49:36 AM »

 |   | 

* * *

Wow, sounds good. Seriously, if you see any picture on the net, then please let us know ASAP!

 |  
| 

|   |  
|   |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][60]

« **Reply #8 on:** November 15, 2007, 05:22:26 AM »

 |   | 

* * *

So far, this is the closest I've come to creating a 3D-style mandelbrot with bulbs on all axis. It uses techniques described in my "[Meet & greet" forum thread][61], and orthographic projection with lighter areas at the front.  
  
![][62]  
  
Sigh, so close, yet so far!

 |  
| 

|   |  
|  « _Last Edit: November 15, 2007, 05:41:12 AM by twinbee _ »  |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  [**lycium][42]**

Fractal Supremo  
![*][43]![*][43]![*][43]![*][43]![*][43]  
Posts: 1158  
  

![][44]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][63]

« **Reply #9 on:** November 15, 2007, 08:02:02 AM »

 |   | 

* * *

hey that's looking promising, email me the cayley table you used and i'll ray trace it - busy working on the program now after my horrible exam earlier today.

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

<http://chaoticafractals.com> | <http://indigorenderer.com> | <http://lyc.deviantart.com>

 | 

 | 

 |  
| 

| 

|  **[twinbee][34]**

Fractal Fertilizer  
![*][35]![*][35]![*][35]![*][35]![*][35]  
Posts: 383  
  

![][36]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][64]

« **Reply #10 on:** November 17, 2007, 02:52:35 PM »

 |   | 

* * *

Hope the exam went okay. Here's the way to create the object. I'm not sure how Cayley tables would fit in this context, but here's the multiplication function:  
`  
double pi=3.14159265;  
double r    = sqrt(x*x + y*y + z*z );  
double yang = atan2(sqrt(x*x + y*y) , z  )  ;  
double zang = atan2(y , x);  
newx = (r*r) * sin( yang*2 + 0.5*pi ) * cos(zang*2 +pi);  
newy = (r*r) * sin( yang*2 + 0.5*pi ) * sin(zang*2 +pi);  
newz = (r*r) * cos( yang*2 + 0.5*pi );  
`  
Since in the standard Mandelbrot forumla, the only multiplication is the number multiplied by itself (the square), that's why there's only x, y and z in the above function, and not x2, y2, and z2 aswell. Hope that makes sense.  
  
The addition function for these 3D numbers is as expected:  
newx = x1 + x2;  
newy = y1 + y2;  
newz = z1 + z2;  
  
The main Mandelbrot formula stays the same ("a" and "point" are 3D numbers of course - X, Y and Z):  
add(    multiply(a,a)   , point).  
  
Oh and the escape condition is slightly extended over the 2D version like so:  
while (x*x + y*y + z*z  <  2.0)  
  
Thanks for doing this. It's gonna be quite exciting to see how it all turns out!

 |  
| 

|   |  
|  « _Last Edit: November 17, 2007, 09:13:23 PM by twinbee _ »  |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  **this is not kasker**

Guest  

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][65]

« **Reply #11 on:** November 17, 2007, 05:16:41 PM »

 |   | 

* * *

This is cool, I'll be watching this thread.

 |  
| 

|   |  
|   |  ![][41] Logged  | 

 | 

 | 

 |  
| 

| 

|  **[lycium][42]**

Fractal Supremo  
![*][43]![*][43]![*][43]![*][43]![*][43]  
Posts: 1158  
  

![][44]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][66]

« **Reply #12 on:** November 17, 2007, 11:28:12 PM »

 |   | 

* * *

heya, thanks for the formulae ![smiley][55] just popping in to say that i'm writing my last exam for this year tomorrow, and it's a killer so there's going to be at least a 1-day lag until i implement this... oh, and you can cancel the square root / squaring for big speed gains and increased numeric stability.

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

<http://chaoticafractals.com> | <http://indigorenderer.com> | <http://lyc.deviantart.com>

 | 

 | 

 |  
| 

| 

|  **[lycium][42]**

Fractal Supremo  
![*][43]![*][43]![*][43]![*][43]![*][43]  
Posts: 1158  
  

![][44]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][67]

« **Reply #13 on:** November 19, 2007, 03:51:24 AM »

 |   | 

* * *

while sitting and staring at this thing rendering (you wouldn't believe how easily it gobbles my 12ghz of processing power), i realised i'd made a mistake in implementing the algorithm. this resulted in strange, interesting shapes:  
  
![][68]  
  
i also think it's possible to simplify the iteration a LOT. i'm going to fix the iteration now (and also try out the "julia" version, where the constant isn't the initial point) and render it a bit while i do the algebra/trig on paper to simplify the equations.  
  
looks quite interesting so far ![smiley][55]

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

<http://chaoticafractals.com> | <http://indigorenderer.com> | <http://lyc.deviantart.com>

 | 

 | 

 |  
| 

| 

|  **[lycium][42]**

Fractal Supremo  
![*][43]![*][43]![*][43]![*][43]![*][43]  
Posts: 1158  
  

![][44]

  
  
![WWW][37]

 | 

|  ![][38] | 

[Re: True 3D mandlebrot type fractal][69]

« **Reply #14 on:** November 19, 2007, 03:55:58 AM »

 |   | 

* * *

i can confirm bulbs on all axes ![grin][70]  
  
rendering it a bit and simplifying the iteration...

 |  
| 

|   |  
|   |  ![][41] Logged  | 

* * *

<http://chaoticafractals.com> | <http://indigorenderer.com> | <http://lyc.deviantart.com>

 | 

 | 

 |  
|  | 

| ----- |
|  Pages: [**1**] [2][20] [3][21] ** ... **[37][22]   **[Go Down**][23] | 

«[ previous][24] [next »][25]

|    |  [Print][26] |    | 

 | 

| ----- |
|  «[ previous][24] [next »][25] | 

| ----- |
|    | 

Jump to: Please select a destination: \----------------------------- Community \----------------------------- => Board Rules and Guidelines => Meet & Greet ===> Fractal Forums News ===> Introduction to Fractals and Related Links ===> Let's collaborate on something! =====> Fractalforums.com Calendar Project =======> Nominees 2011 =======> Nominees 2012 =======> content =====> Fractal TAG Game =======> TAG Games =======> TAG Game Gallery ===> Discuss Fractal Forums ===> Art Discussions =====> Commission an Artist ===> Non-Fractal related Chit-Chat ===> Commercial Corner \----------------------------- Fractal Art \----------------------------- => Fractal Art Review => Images Showcase (Rate My Fractal) ===> Parameter Files ===> FractalForums.com Banner Logos => Movies Showcase (Rate My Movie) ===> Animations Showcase (Rate My short Animation) ===> Fractal DVDs => Other Artforms ===> Exotic Projection / Rendering of Fractals ===> Format, Printing & Post Production ===> Fractal Music ===> Fractal Website of the Month => Competitions and Contests ===> 10th Annual Fractal Art Competition 2017 =====> Still Frame - Fractalforums Postcard =====> Film - Fractalforums Postcard  =====> Still Frame - Wildstyle ===> 9th Annual Fractal Art Competition 2016 =====> Still Frame - Wildstyle =====> Film =====> Ultra Deep Mandelbrot ===> 8th Annual Fractal Art Competition 2015 ===> 7th Annual Fractal Art Competition 2014 =====> Still Frame =====> Short Film =====> Resemblance ===> 6th Annual Fractal Art Competition 2013 =====> Film  =====> Still Frame =====> Axolotl ===> 5th Annual Fractal Art Competition 2012 =====> Film =====> Wildstyle =====> Animation ===> 4th Annual Fractal Art Competition 2011 (completed) =====> Movie =====> 2d Art =====> 3d Art / Composition ===> 3rd Annual FractaSpring 2010 Fractal Art Competition (Completed) =====> Mandel Brot =====> Fractal Fun =====> Fractal Movies ===> 2nd Annual Fractal Art Competition 2009 (completed) =====> UltrafractalWiki and FractalForums Artwork =====> 2D Art =====> 3D Art ===> 1st Annual Fractal Art Competition 2008 (Completed) =====> Logo Competition =====> Fractal Art  =====> Selfmade ===> FractalForums Entries - Biocursion DVD (Completed) =====> Banner Logo =====> Static Image =====> Best Fractal Animation ===> X-Mas 2008 Fractal Chrimbo (completed) \----------------------------- fractalforums.com - chaosTube \----------------------------- => production => chaosTube - News => chaosTube - Gallery => chaosTube - History => chaosTube - Tutorials \----------------------------- Fractal Software \----------------------------- => Help & Support => General Discussion => Programming ===> Fragmentarium ===> Gestaltlupe =====> Gestaltlupe Gallery ===> Structure Synth =====> Structure Synth Gallery ===> Synthclipse => 3D Fractal Generation ===> Mandelbulb 3d =====> Releases =====> Mandelbulb3D Gallery =====> Tutorials =====> bug reporting =====> beta testing =====> feature request ===> Mandelbulber =====> Releases =====> Mandelbulber Gallery =====> Tutorials =====> Bug Reporting =====> Feature Requests ===> Other / General Discussion => Fractal Programs ===> Announcements & News ===> Windows Fractal Software =====> Adobe Photoshop Plugins =======> Adobe Photoshop Plugins Gallery =====> Apophysis Programs =======> Apophysis Gallery =======> Apophysis 3d Hack Gallery =====> Chaoscope =======> Chaoscope Gallery =====> ChaosPro =======> ChaosPro Gallery =====> Fractal Explorer =======> Fractal Explorer Gallery =====> Fractal eXtreme =======> Fractal eXtreme Gallery =======> Plugins =====> Fractal Science Kit =======> Fractal Science Kit Gallery =====> FractInt =======> FractInt Gallery =====> Incendia =======> Incendia Gallery =====> Kalles Fraktaler =======> Kalles Fraktaler Gallery =====> Mandel Machine =======> Mandel Machine Gallery =====> ManyFractals =======> ManyFractals Gallery =====> Mutatorkammer =======> Mutatorkammer Gallery =====> Mystic Fractal Programs =======> Mystic Fractal Programs Gallery =====> Sterlingware =======> Sterlingware Gallery =====> UltraFractal =======> UltraFractal Gallery =====> XenoDream =======> XenoDream Gallery =====> yFract =======> yFract Gallery =====> Others =======> Others Gallery ===> Macintosh Fractal Software =====> FractalWorks =======> FractalWorks Gallery =====> Mystic Fractal Programs =======> Mystic Fractal Programs Gallery =====> quadrium / quadrium2 =======> quadrium / quadrium2 Gallery =====> SpangFract =======> SpangFract Gallery =====> Ultrafractal =====> Others ===> Linux Fractal Software =====> XFractInt =====> Others ===> Multi Platform =====> Chaotica =======> Chaotica Gallery =====> Fractal Fr0st =======> Fractal Fr0st Gallery =====> Fragmentarium =======> Fragmentarium Gallery =====> JWildfire =======> JWildfire Gallery =====> Saturn&Titan =======> Saturn&Titan Gallery =====> XaoS =======> XaoS Gallery ===> Smartphones / Mobile Devices =====> Frax =======> Frax Gallery \----------------------------- Real World Examples & Fractical Applications \----------------------------- => Fractal News across the World => Fractals Applied or in Nature ===> Fluid Dynamics, Turbulence & Weather Prediction ===> Stock Market Prediction ===> Compression ===> Philosophy =====> Poetry =====> Fractal Humor \----------------------------- Fractal Math, Chaos Theory & Research \----------------------------- => General Discussion ===> Mathematics =====> Complex Numbers => (new) Theories & Research => Other types => Mandelbrot & Julia Set ===> The 3D Mandelbulb =====> Mandelbulb Implementation =====> Theory =====> Mandelbulb Renderings =====> Videos => IFS - Iterated Function Systems ===> Amazing Box, Amazing Surf and variations ===> Sierpinski Gasket ===> Fractal Flames => Landscape/Terrain Generation \----------------------------- International \----------------------------- => italiano => русский => deutsch => espaol => franais  

  

| ----- |
|  Related Topics |  
|   |  Subject |  Started by |  Replies |  Views |  Last post |  
|  ![][71]  |  ![][38]  |  ![][72] **[Implementation: 3D mandelbrot type fractal][73]** [3D Fractal Generation][18] « [1][73] [2][74] »  |  steamraven  |  27  |  23349  |  ![Last post][75] August 21, 2016, 12:13:13 AM  
by [ironfractal][76]  |  
|  ![][77]  |  ![][38]  |  ![][72] **[Re: True 3D mandelbrot type fractal][78]** [Other / General Discussion][79]  |  shanest  |  2  |  10814  |  ![Last post][75] November 20, 2009, 03:24:26 AM  
by [fractalrebel][80]  |  
|  ![][81]  |  ![][38]  |  ![][82] [True 3D mandelbrot fractal (search for the holy grail continues)][83] [The 3D Mandelbulb][84] « [1][83] [2][85] ... [17][86] [18][87] »  |  illi  |  260  |  49516  |  ![Last post][75] November 25, 2010, 12:57:55 AM  
by [cKleinhuis][88]  |  
|  ![][77]  |  ![][38]  |  [New fractal type... latest 3d type.. a z^2 for Benoit][89] [Images Showcase (Rate My Fractal)][90]  |  [M Benesi][91]  |  0  |  3081  |  ![Last post][75] October 21, 2010, 07:14:00 AM  
by [M Benesi][92]  |  
|  ![][77]  |  ![][38]  |  [My First Mandelbrot...Okay not true.][93] [Images Showcase (Rate My Fractal)][90]  |  [Zephitmaal][94]  |  3  |  2439  |  ![Last post][75] January 07, 2012, 04:30:36 PM  
by [Pauldelbrot][95]  | 

  

| ----- |
|  ![Powered by MySQL][96] ![Powered by PHP][97]  |  [Powered by SMF 1.1.21][98] | [SMF © 2015, Simple Machines][99]   
  
 |  ![Valid XHTML 1.0!][100] ![Valid CSS!][101] **Dilber MC** Theme by **[HarzeM][102]**  | 

Page created in 1 seconds with 27 queries. ([Pretty URLs][103] adds 0.086s, 2q)

Loading...

[1]: http://nocache-nocookies.digitalgott.com/gallery/0/63_29_05_08_11_58_27_1.png
[2]: 
[3]: /index.php?action=gallery;sa=view;id=232
[4]: /index.php?action=profile;u=63
[5]: http://fractalforums.org
[6]: http://www.youtube.com/user/kommissario
[7]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/filter.gif
[8]: http://www.fractalforums.com/index.php
[9]: http://www.fractalforums.com/index.php?action=help
[10]: http://www.fractalforums.com/index.php?action=search
[11]: http://www.fractalforums.com/index.php?action=gallery
[12]: http://www.fractalforums.com/index.php?action=downloads
[13]: http://www.fractalforums.com/index.php?action=login
[14]: http://www.fractalforums.com/index.php?action=register
[15]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/lightsilver/collapse.gif "Shrink or expand the header."
[16]: https://fractalforums.org
[17]: http://www.fractalforums.com/index.php#14
[18]: http://www.fractalforums.com/index.php?board=53.0
[19]: http://www.fractalforums.com/index.php?topic=742.0
[20]: http://www.fractalforums.com/index.php?topic=742.15
[21]: http://www.fractalforums.com/index.php?topic=742.30
[22]: http://www.fractalforums.com/index.php?topic=742.540
[23]: http://www.fractalforums.com#lastPost
[24]: http://www.fractalforums.com/index.php?topic=742.0;prev_next=prev#new
[25]: http://www.fractalforums.com/index.php?topic=742.0;prev_next=next#new
[26]: http://www.fractalforums.com/index.php?action=printpage;topic=742.0
[27]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/digg.gif "Share this topic on Digg"
[28]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/facebook.gif "Share this topic on Facebook"
[29]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/google.gif "Share this topic on Google"
[30]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/reddit.gif "Share this topic on Reddit"
[31]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/stumbleupon.gif "Share this topic on StumbleUpon"
[32]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/share/twitter.gif "Share this topic on Twitter"
[33]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/topic/veryhot_post_locked_sticky.gif
[34]: http://www.fractalforums.com/index.php?action=profile;u=262 "View the profile of twinbee"
[35]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/star1.gif
[36]: http://www.fractalforums.com/index.php?action=dlattach;attach=311;type=avatar
[37]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/www_sm.gif
[38]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/post/xx.gif
[39]: http://www.fractalforums.com/index.php?topic=742.msg3925#msg3925
[40]: http://www.youtube.com/v/3lcO9zRCv-4&rel=1&fs=1&hd=1
[41]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/ip.gif
[42]: http://www.fractalforums.com/index.php?action=profile;u=87 "View the profile of lycium"
[43]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/star2.gif
[44]: http://www.fractalforums.com/index.php?action=dlattach;attach=308;type=avatar
[45]: http://www.fractalforums.com/index.php?topic=742.msg3926#msg3926
[46]: http://www.fractalforums.com/Smileys/default/wink.gif
[47]: http://www.fractalforums.com/index.php?topic=742.msg3937#msg3937
[48]: http://www.fractalforums.com/index.php?topic=742.msg3958#msg3958
[49]: http://www.fractalforums.com/Smileys/default/sad.gif
[50]: http://www.fractalforums.com/index.php?action=profile;u=141 "View the profile of David Makin"
[51]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/stargmod.gif
[52]: http://www.fractalforums.com/index.php?action=dlattach;attach=2445;type=avatar
[53]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/facebook.gif
[54]: http://www.fractalforums.com/index.php?topic=742.msg3959#msg3959
[55]: http://www.fractalforums.com/Smileys/default/smiley.gif
[56]: http://www.fractalforums.com/index.php?topic=742.msg3960#msg3960
[57]: http://local.wasp.uwa.edu.au/~pbourke/fractals/quatjulia/q3big.gif
[58]: http://www.fractalforums.com/index.php?topic=742.msg3961#msg3961
[59]: http://www.fractalforums.com/index.php?topic=742.msg3962#msg3962
[60]: http://www.fractalforums.com/index.php?topic=742.msg4105#msg4105
[61]: http://www.fractalforums.com/index.php?topic=769.0
[62]: http://www.skytopia.com/stuff/mandel3d1.png
[63]: http://www.fractalforums.com/index.php?topic=742.msg4106#msg4106
[64]: http://www.fractalforums.com/index.php?topic=742.msg4109#msg4109
[65]: http://www.fractalforums.com/index.php?topic=742.msg4110#msg4110
[66]: http://www.fractalforums.com/index.php?topic=742.msg4111#msg4111
[67]: http://www.fractalforums.com/index.php?topic=742.msg4112#msg4112
[68]: http://www.fractographer.com/wip/strange_thing.jpg
[69]: http://www.fractalforums.com/index.php?topic=742.msg4113#msg4113
[70]: http://www.fractalforums.com/Smileys/default/grin.gif
[71]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/topic/hot_post.gif
[72]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/icons/show_sticky.gif
[73]: http://www.fractalforums.com/index.php?topic=2013.0
[74]: http://www.fractalforums.com/index.php?topic=2013.15
[75]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/icons/last_post.gif "Last post"
[76]: http://www.fractalforums.com/index.php?action=profile;u=14096
[77]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/topic/normal_post.gif
[78]: http://www.fractalforums.com/index.php?topic=2023.0
[79]: http://www.fractalforums.com/index.php?board=151.0
[80]: http://www.fractalforums.com/index.php?action=profile;u=7
[81]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/topic/veryhot_post.gif
[82]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/icons/quick_lock.gif
[83]: http://www.fractalforums.com/index.php?topic=2035.0
[84]: http://www.fractalforums.com/index.php?board=152.0
[85]: http://www.fractalforums.com/index.php?topic=2035.15
[86]: http://www.fractalforums.com/index.php?topic=2035.240
[87]: http://www.fractalforums.com/index.php?topic=2035.255
[88]: http://www.fractalforums.com/index.php?action=profile;u=63
[89]: http://www.fractalforums.com/index.php?topic=4391.0
[90]: http://www.fractalforums.com/index.php?board=21.0
[91]: http://www.fractalforums.com/index.php?action=profile;u=1170 "View the profile of M Benesi"
[92]: http://www.fractalforums.com/index.php?action=profile;u=1170
[93]: http://www.fractalforums.com/index.php?topic=9952.0
[94]: http://www.fractalforums.com/index.php?action=profile;u=1257 "View the profile of Zephitmaal"
[95]: http://www.fractalforums.com/index.php?action=profile;u=511
[96]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/powered-mysql.gif
[97]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/powered-php.gif
[98]: http://www.simplemachines.org/ "Simple Machines Forum"
[99]: http://www.simplemachines.org/about/copyright.php "Free Forum Software"
[100]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/valid-xhtml10.gif
[101]: http://nocache-nocookies.digitalgott.com/Themes/dilbermc/images/valid-css.gif
[102]: http://www.harzem.com/themes/themes.php?theme=dilbermc;color=lightsilver
[103]: http://code.google.com/p/prettyurls/

