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Author Topic: Brahmabrot a simplified and expanded Buddhabrot  (Read 12833 times)
Description: EX: Problems with implementing Budhabrot in UF
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Alef
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« Reply #45 on: September 05, 2013, 07:39:11 PM »

As I said, one of reason behind this was to make something like model for a bunch of featurless buddhabrot softwares.
Rendered couple of images.

Two rosy/orange/appricot gradient based images. Less smooth colour change but more control:







formula:
If (|z| < |c|)
z= (z)^4+ c
else if (|z| == |c|)
z= (z)^4
else
z= (z)^4 - c
endif

Much more interesting as orbit plots than as escape time formula.



And a couple of zoomed in quasi julias with starting z = pixel and c = julia seed + pixel //pixel being random value.
Normal julia sets have very boring orbit plots, but here one can zoom in and discover some cool fractal shapes. Some even resamble used fractal shapes.















Now resolution and quality of video should be much better.

<a href="http://www.youtube.com/v/rg3RDEjIDHE&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/rg3RDEjIDHE&rel=1&fs=1&hd=1</a>


Vimeo just converted

<a href="https://vimeo.com/moogaloop.swf?clip_id=73902489&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA" target="_blank">https://vimeo.com/moogaloop.swf?clip_id=73902489&amp;server=vimeo.com&amp;fullscreen=1&amp;show_title=1&amp;show_byline=1&amp;show_portrait=0&amp;color=01AAEA</a>

Ultra Fractal save files are in attachment (they weren't picked by their speed and it don't works 2x faster with 2x better PC).

* zz_Brahmas.upr (21.42 KB - downloaded 186 times.)
« Last Edit: September 06, 2013, 02:00:32 AM by Alef » Logged

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« Reply #46 on: September 06, 2013, 06:44:03 AM »

    As I said, one of reason behind this was to make something like model for a bunch of featurless buddhabrot softwares.
    Rendered couple of images.
    Two rosy/orange/appricot gradient based images. Less smooth colour change but more control:
    Much more interesting as orbit plots than as escape time formula.
    And a couple of zoomed in quasi julias with starting z = pixel and c = julia seed + pixel //pixel being random value.
    Normal julia sets have very boring orbit plots, but here one can zoom in and discover some cool fractal shapes.
    Some even resamble used fractal shapes.
    Now resolution and quality of video should be much better.
    Vimeo just converted
    Ultra Fractal save files are in attachment (they weren't picked by their speed and it don't works 2x faster with 2x better PC).

Wow, seven different images and a video to top it all off with !!!!    And all posted in one day within a single post!!!     cheesy
 
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3dickulus
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« Reply #47 on: September 06, 2013, 07:26:22 AM »

Spectacular! kind of like seeing Hubble images for the first time.
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« Reply #48 on: September 06, 2013, 07:48:53 AM »

Alef : Most of fractal i can see (and i can't see much, blame your hoster) are actually anti-buddhabroth, isn't it ?
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« Reply #49 on: September 06, 2013, 08:12:17 AM »

Anyone tried using the Buddhabrot as a heigh map?

The buddhabrot is very noisy, an heightmap would be just ugly spike
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often times... there are other approaches which are kinda crappy until you put them in the context of parallel machines
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Sockratease
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« Reply #50 on: September 06, 2013, 12:01:47 PM »

Wow, seven different images and a video to top it all off with !!!!    And all posted in one day within a single post!!!     cheesy

I think the key phrase there is "within a single post!"

The complaints which brought about the gallery limits were based on flooding the recent posts section and pushing discussions back pages at a shot.

This, being "within a single post" does not have that effect.  It's just one post.

The Gallery is different than the forum, but the same general effect is sought - not flooding the recent posts section and burying other people's discussions.

So this is fine as far as I can see. 

Sorry for any confusion or inconvenience this may have caused you, Paul.

I agree the forum guidelines are not all in any one place and easy to find -  it's not limited to this one type thing, and much work is needed.  Perhaps we should get the staff together and rectify this!

Sorry to go off topic in your thread there, Alef.  I do find the images intriguing and appreciate what you are trying to do with our Buddy, the Bhuddabrot   afro
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« Reply #51 on: September 06, 2013, 12:16:26 PM »

    The complaints which brought about the gallery limits were based on flooding the
    recent posts section and pushing discussions back pages at a shot.
    The Gallery is different than the forum, but the same general effect is sought -
    not flooding the recent posts section and burying other people's discussions.

    I agree the forum guidelines are not all in any one place and easy to find - it's not limited to this
    one type thing, and much work is needed.  Perhaps we should get the staff together and rectify this!

First of all, I do not believe that four or five posted images to be a "flood", even if they are in separate postings.  I do not even think two separate image postings to be a "flood".

But there were recent multiple posts each having images and/or videos, and by more than one member.  It goes on all the time, but apparently some people are never called out about it.  The constant double standards that take place is why so many others in the past have gotten so upset and left the forum complaining about such things as "Nazi" tactics.
 
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ker2x
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« Reply #52 on: September 06, 2013, 06:25:39 PM »

You think regular buddhabrot are boring & featureless and i disagree.
Exploring new fields and doing R&D is good, very good but, omho, nothing beat z = z▓+c, yet.
But please never stop trying.

Direct from WinBuddha-v0.3 without postprocessing.
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often times... there are other approaches which are kinda crappy until you put them in the context of parallel machines
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Alef
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« Reply #53 on: September 07, 2013, 03:55:28 PM »

ker2x Direct from WinBuddha-v0.3 without postprocessing:

Great render. Buddhabrots allways gives feeling of  something from a space or maybe a clouds.

Quote
nothing beat z = z▓+c, yet.
Actualy second image and formula of the video are quad gen what is a z^+c but with i*i=1. Maybe it's split complex numbers. In video throught I chanced coeficient for imaginary part, from y=2*x*y to something like y=-1*x*y. So it's still a z*z+c.

Quote
Alef : Most of fractal i can see (and i can't see much, blame your hoster) are actually anti-buddhabroth, isn't it ?
I thowed out all the testing for escaping vs non escaping alltogether and then to lessen the most uninteresting central orbits I introduced convergent bailout. So It's 75% anti and 25 % buddhabrot but it depends on formula.
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Alef
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« Reply #54 on: September 07, 2013, 03:56:56 PM »

Here is buddha heightmap.
http://www.fractalforums.com/landscapeterrain-generation/buddhabrot-as-heightmap/
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« Reply #55 on: September 08, 2013, 12:46:35 PM »


A good MMORPG map  grin
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often times... there are other approaches which are kinda crappy until you put them in the context of parallel machines
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kram1032
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« Reply #56 on: September 08, 2013, 01:20:06 PM »

Is the height a function of point density (e.g. brightness) or how does this work?
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Alef
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« Reply #57 on: September 16, 2013, 06:17:02 PM »

Yes, heightmap is when the height is put as brightness (value). This was a lot used for a 3D fractals befora a mandelbulb era http://www.eclectasy.com/Fractal-Explorer/gal3dl01.htm

Rendered image using a Manowar formula (z = z^2 + zold + c). zold is used in bailout so this formula comes naturaly. Colours are a RGB harmonic mean of directly generted colours and the colour by Ultra Fractal gradient, coz harmonic mean better preserves contrast (low values).

Kind of like funny symmetric points in inside (I don't meant a random dots), throught not shure what they represents.  Orbits sould be smoothly distributed and should not jump on to these spots. These points alsou appears in mandelbrot renderings, especialy with small maximum iterations value. Maybe z orbital values + orbit density create some peak values, or maybe these are points where z -> 0. Exponent smoothing generates dots around z= 0 throught don't think that there should be z=0 .



There is one more pic, but it renders quite a long, maybe it woun't finish. But at least my image sharing site is back.
« Last Edit: September 16, 2013, 06:20:44 PM by Alef » Logged

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« Reply #58 on: October 26, 2013, 03:50:10 PM »

Tried to orbit plot something like mandelbox. A swirlbox ;.)
;in complex numbers and with a complex scaling.
z =z+ abs(real(z)-1) - abs(real(z)+1) + flip(  abs(imag(z)-1) - abs(imag(z)+1) )
z=z*@centralorbit
z=exp(flip( @frequency*cabs(z)+ @spin*atan2(z)) ) *z   +c

Orbits are simple as expected but in certain range of scales (0<|scale|<1) it generates nice ornaments. Hadn't tested with spherefold (normal mandelbox).




















Mandelbrot with orbit plot insides. Somehow orbits don't follow mandelbrot outline but fits in all the positions. Still, the most interesting question is a nature of points inside:

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« Reply #59 on: October 28, 2013, 12:07:34 AM »

Those are some nice swirl brots.
They look like some kinds of swirly fireworks!
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