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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > Mandelbulb Implementation > Update to the mmf wip formula for Ultra Fractal
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Author Topic: Update to the mmf wip formula for Ultra Fractal  (Read 55668 times)
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David Makin
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« Reply #60 on: March 02, 2010, 02:57:27 AM »
My formula now includes "Simple Sierps" under the Mandelbulb/Juliabulb option (here due to the architecture of the formula). The "Simple Sierps" options allow Location Restricted escape-time IFS based on Tglad's fractal type.

http://www.fractalgallery.co.uk/MMFwip3D.zip


There's more information on this in the following thread with some UPR examples in this post:

http://www.fractalforums.com/3d-fractal-generation/tglad%27s-mandelbox-and-using-the-delta-de-methods-for-rifs/msg13560/#msg13560
« Last Edit: March 02, 2010, 03:09:07 AM by David Makin » Logged
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« Reply #61 on: March 12, 2010, 10:16:52 PM »
I have now added an extra "Lighting + Orbits" method to the colourings in the mmfwip3d formula (wip3D5).
This allows full-3D based orbit trapping for any of the formula types plus the option of using "genetics" based colouring for the "Lowe's Mandelbox" and "Simple Sierps" formulas (as suggested by Tglad).

Update in usual place:

http://www.fractalgallery.co.uk/MMFwip3D.zip
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The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
David Makin
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Posts: 2286



Makin' Magic Fractals
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« Reply #62 on: March 12, 2010, 11:09:14 PM »
Here's one for playing with the new orbit trap and genetic colouring methods, try changing the "First Iteration" and "Last Iteration", toggling between using genetics and orbits, changing the fade values for the orbit and genetic methods and trying the different orbit methods.

Code:
Fractal1 {
::5qwfggn2NqVWzNuNS43nqm/Dq0TJ1ELTAQSJlt4DZinUV2Kzms7kq232pg4hEj5V4htl+1vd
  jrGky2j9TdD04jN6DguhcRvMdUW9jv/drWNWOWlns+X0DxWv6xysxTJxhBrOlXe80YS4ugVV
  yz59DJMcFp95ZljDJrvT+QZ2qPLvvs5fIulxvlHwCW/+3pEWBeqsbsstJZ9Hlp3fsvdqJb9q
  2OZa545EWQwq68xTtZJ1TVjldyhhVj9ymhOZfezYy58h3/uaZXXZzRNcwo59JB3CLUesJhtJ
  +9vrotHWuUJQt8pSUCWwqu8+0T5p3n0WUsqosKvRWD7zP/5f5xyOxdbmKqXvCwr/cy6/7v+H
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  9csQGLmFzNTKiY2Ji2y3FL2DlLo/fnz/bCXvqlPw9fWHPCaw9/jhhqKP
}
« Last Edit: March 12, 2010, 11:11:19 PM by David Makin » Logged
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« Reply #63 on: March 13, 2010, 06:18:32 PM »
Funny coloring methods smiley
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David Makin
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« Reply #64 on: April 11, 2010, 11:43:01 PM »
New update, formula in same place:

http://www.fractalgallery.co.uk/MMFwip3D.zip

Note that some folks may need to clear their internet cache in order to get the updated file - the new zip should be 95095 bytes.

Have added analytical distance estimation for the Mandelboxes including an automatic routine for getting the correct scaling for the DE values. Added the option to start with the equivalent of "z=pixel". Fixed a bug in the orbit colouring options. Added the ability to apply location based IFS to any formula. Added the ability to add Mandelbox-style rectagular folding to any formula. Added the "Crazy double complex" formula. Changed the option to negate the spherical inversion values on the Mandelbox to an option to scale by a value instead. Added the Iteration estimation method (doesn't work on the Simple Sierps or Mandelbox). Added rectangular and spherical ambient occlusion options.
« Last Edit: April 12, 2010, 03:42:15 AM by David Makin » Logged
The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
David Makin
Global Moderator
Fractal Senior
******
Posts: 2286



Makin' Magic Fractals
WWW
« Reply #65 on: April 12, 2010, 12:31:19 AM »
Quick example of using the IFS option with a Juliabulb:

Code:
Fractal1 {
::IaS3ngn2Nq1WvNutS43Xg9/ghf4gWsNOiUXsdPQP0tZLQPoptnTLQfrLklls1GdxVSOx2/6P
  zwbzQ5ksJPEMDv8xhDnPSOUusPLfMr+7f/7mNbsasuId+PpLSMf2TVbH3nmEFMbfR1u9jpRr
  CmVnduofIVg9IvvYb14Q687yesa7s7zeoq9fHdrQcrMQEM/9vT1YF45ZHGr6aTn/xs8H213d
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}
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« Reply #66 on: April 12, 2010, 06:24:25 AM »
Quote from: David Makin on January 18, 2010, 05:45:25 AM
Finally got the wip (3D Mandelbulb etc.) formula to a point for a new update.
http://www.fractalgallery.co.uk/MMFwip3D.zip
And you'll also need the update to mmf4.ucl which is in the Ultra Fractal formula database.

I put the MMFwip3D.ufm into Ultra Fractal and got it to show me a Mandelbulb today.  I had a little trouble finding a parameter file for it, you really should include one in the download, I think.  Eventually I found a core-dump type parameter file at
http://www.fractalforums.com/index.php?topic=2464.msg11838#msg11838

I pasted this text into a text file that I named makin.upr and was able to load it as a param file, although it objected a bit about the "new" location of the formula.

Anyway, it worked for me and that's cool.

I recently put my cubic mandelbrot slices of the cubic connectedness map into Ultra Frctal with a rvr.ufm and rvr.upr, you can get from the Ultra Fractal public database, and the algoirthms are explained, with illos, on my page http://www.rudyrucker.com/blog/2010/04/02/the-rudy-set-fractal/

Something I want to see some more tries on are stacking up some of the Mk cubics as, say, the real part of the k param varies slowly...I think this really ought to make a nice Mandelbulb.  Paul Nylander and Billy Rood tried this, and it didn't work for them, but I still think they might not have fully implemented what I actually had in mind, I'm not sure they ever got my exact definition of Mk, which is now pretty explicit in the rfr.ufm file.

I'd sort of like to try the stack myself, but the intricacies of Makin's ufm file are kind of indimidating.

Here's are two nice Mk details.



"The Invasion of the Hrull"  and



"MandelCubicPacMan"

You can load these from the rvr.upr file in Ultra Fractal.
« Last Edit: April 12, 2010, 06:31:34 AM by Rudy » Logged
David Makin
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« Reply #67 on: April 12, 2010, 11:17:16 AM »
Quote from: Rudy on April 12, 2010, 06:24:25 AM
Quote from: David Makin on January 18, 2010, 05:45:25 AM
Finally got the wip (3D Mandelbulb etc.) formula to a point for a new update.
http://www.fractalgallery.co.uk/MMFwip3D.zip
And you'll also need the update to mmf4.ucl which is in the Ultra Fractal formula database.

I put the MMFwip3D.ufm into Ultra Fractal and got it to show me a Mandelbulb today.  I had a little trouble finding a parameter file for it, you really should include one in the download, I think.  Eventually I found a core-dump type parameter file at
http://www.fractalforums.com/index.php?topic=2464.msg11838#msg11838

I pasted this text into a text file that I named makin.upr and was able to load it as a param file, although it objected a bit about the "new" location of the formula.

Anyway, it worked for me and that's cool.

There are some more examples in that thread - including the last post where the example applies IFS-style transforms to a Juliabulb effectively mixing 6 of them together.
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Timeroot
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« Reply #68 on: April 13, 2010, 01:22:31 AM »
Quote from: Rudy on April 12, 2010, 06:24:25 AM
<Quoted Image Removed>

"The Invasion of the Hrull"

Oh my god! That's the exact same type of "hanging glob" shape I found when playing around with certain alternating formulas... I'll have to find the picture and formula, this is really weird...  huh?
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« Reply #69 on: April 20, 2010, 10:01:25 PM »
Another update....

Improved the autobox information output as compiler messages.
Added an option such that when possible the rectangular occlusion will use the values calculated from the "autobox" precalculations (i.e. for box centre and size).
Added experimental pseudo-depth of field options.
Added general spherical folding such that it can be applied to all formulas.
Fixed the analytical DE for the crazy double complex formula.
When passing the background colour from the formula to the colouring then the alpha channel of the background colour parameter now controls the opacity of the background against lower layers in the same way that the "inside" opacity does when not passing the background colour. (This update also needs you to update mmf4.ucl from the UF formula database).

http://www.fractalgallery.co.uk/MMFwip3D.zip

New zip filie size should be 94.5KB (exactly 96735 bytes), if you get a smaller file the you need to clear the older one from your browser's interrnet cache or download history and then re-download.
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« Reply #70 on: May 02, 2010, 07:48:12 PM »
Thanks Dave!!!
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bib
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« Reply #71 on: June 10, 2010, 09:06:13 PM »
Now that I have started to learn how to use class coloring in UF, I just realized that there was a "Lighting + UF coloring" mode in this formula! This is incredibly powerful to find new color schemes to the Mandelbulb/box...
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David Makin
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« Reply #72 on: December 01, 2012, 12:54:10 PM »
Just to remind all that there are still some things that my 3D wip folmula ( http://www.fractalgallery.co.uk/MMFwip3D.zip ) does that aren't implemented elsewhere (yet) such as bib mentioned in the previous post in this thread smiley

Another quick sample UPR:

Code:
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}
« Last Edit: December 01, 2012, 12:56:26 PM by David Makin » Logged
The meaning and purpose of life is to give life purpose and meaning.

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Biomechanic
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« Reply #73 on: April 20, 2014, 07:05:12 PM »
Hey There,

I'm new to this forum, but not new to fractals... started using Ultra Fractal again and came across David's formula for rendering Mandelbulbs etc by accident

Anyway here are a few images...

DOf was added in post utilising depth information from the 'Position/Distance' colouring algorithm, from this I managed to render out a passable depth map

Everything else is pure fractal

* Handle-With-Care.jpg (228.23 KB, 650x650 - viewed 1132 times.)
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Biomechanic
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« Reply #74 on: April 20, 2014, 09:18:56 PM »
Another one, although less inspiring...

J

* 4D-Mandelbrot.jpg (207.5 KB, 600x600 - viewed 1151 times.)
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