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3D MANDLEBROT
#67
Vianova......OK...here's a different rendition of my last image.
The original was 1280X960 but Photofuckit limited it to 1023X500.

[Image: crematory3-1.jpg?t=1267420628]

As far as the basic formula goes, it's
z=z^6+c, where z and c are complex numbers such that z is initially set to a value of between (-2,-2)->(+2,+2) and c=(0,0)
Like the normal Mandelbrot set (z=z^2+c) the equation is iterated until a certain "bailout value" for z is reached. Unlike a 2D Mandelbrot set which might repeat thousands of times/pixel before bailout is reached, the Mandelbulb might only iterate 10 times before a given pixel is plotted!!! To increase the detail in the most recent rendition, I changed the bailout value from 10,000,000 to only 4!!!
The main reason I don't like the ray trace program is that it doesn't permit a color palette. The only way to affect color in the overall image is to change the lighting color falling on the image, which unfortunately affects the entire image.
I can't give you a precise value for z in the image because ChaosPro doesn't show that value in the sidebar, although it does show the value of c, which IS initially set when plotting a Julia set.
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#68
excellent size...perfect for now,
I actaully increased my seed image to 1200 by 1600 before multiple replications.

I went in a different direction tonite , and came up with this,
but lost sharpness in the image because the forum here increases image sizes.
I could sharpen  it again but I am too tired.

[Image: kalter6a.jpg]




close up
[Image: kalter6b.jpg]



<img src="{SMILIES_PATH}/cheers.gif" alt="Cheers" title="cheers" />
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#69
Very nice renders. I just dl'ed Chaos Pro. I also installed the latest Winamp and dug out an old plugi for it from 2001 that, amazingly still runs on it. FractVis2 renders moving fractals in realtime as part of the Visualisation Studio plugin of Winamp - trippy visuals along to the music. It uses GF4 fractals but I've yet to get any interesting formulaes in it.
Advocating for the Space Elevator.<br /><br />User Anonymous revealed ! He is actually me (a previous account). Registered in 2001.<br /><br />~~ Where ever you are Samurai Jane, I miss you
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#70
Vianova......I'm hoping you try a hexgrid rendering of that last one......like making the brightest yellow the center of a 6-sided cell...plus slightly tweaking up the green tones in the yellow zones. 
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#71
DJBarney......If you notice anything in using ChaosPro...let me know, because using the program sometimes yields odd results as in the view/rotation parameter.
Right now I'm doing a drastic zoom-OUT on my last image.
Disturbingly, I'm discovering certain symmetries peculiar to lifeforms......

[Image: cremzoomout2.jpg?t=1267695103]

...and a zoom-IN......

[Image: cremzoomout3.jpg?t=1267697548]
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#72
I lost resolution as well,
here is form your last image, I will try a hex tomorrow


[Image: kalter8a.jpg]
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#73
I have been bushed lately,
so this is the best I can do on a hex application of that image of yours Kalter,
trying to isolate the irridescent yellow objects near the center'

resolution and clarity of image are once again lost with the problem
of transferring images from photobucket to this forum with image size amplification
set automatically into the forum,
I have to withdraw the image and keep sharpening it.....still didn't get it right


[Image: kalterhexab.jpg]


close up
[Image: kalterhexa.jpg]
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#74
You could try using PNG image format.

Wonderful.

I was reading some of the Mayan factor where the Maya fractal number system is described. Are you putting in those numbers ? I notice there are also fractal music scales that I have to try out as LMMS can use different musical systems.
Advocating for the Space Elevator.<br /><br />User Anonymous revealed ! He is actually me (a previous account). Registered in 2001.<br /><br />~~ Where ever you are Samurai Jane, I miss you
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#75
Re...PNG format......I will try that, but won't THM convert PNG to JPEG anyway?

I don't know about any Mayan fractal number system...any links???
What's LMMS?
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#76
Well here's a test PNG from ChaosPro.
Clearly something's wrong. The white areas at the bottom corners are supposed to be the black background.
The problem might be with ChaosPro because when I tried to re-display the saved image there were big black rectangular areas.
I'm just posting it to gauge how much if any it's degraded......hard to tell because of the THM resizing, but overall it might be sharper than previous images......
[Image: Symtest1.png]
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#77
Vianova...look man...I'd rather you devote your energies to the rock collecting if a choice has to be made.
Anyway, I was thinking you were going to crop a certain area of my image as an intrinsic hex grid and then build from that
Still, though, your recent efforts are interesting, to say the least......especially this one......

[Image: kalterhexab.jpg]
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#78
Quote:Vianova...look man...
I'd rather you devote your energies to the rock collecting if a choice has to be made.
Anyway, I was thinking you were going to crop a certain area of my image
as an intrinsic hex grid and then build from that

I was extremely fatigued from a variety of directions at the time.
Hauling boulders is a part of that,
and the beaches can be treacherous to walk and slippy boulders covered in barnacles,
....you would have to see an image,
sometimes I am bushed after 5 hours out there, sometimes in cold temps.
I am collecting "rocks" yes, but it is more of a scientific survey
to write a pdf on the beach jades, and the meta-sediments.

I actually did crop your image.
In your images I have to crop out first the empty space or black space
and then select the better portion thereof to replicate,
and that reduced image size by 33 % - 50% minimum.
Invariably there was still some black space left, and within that I created the floret
in a displacement transfer scheme.

Replication involved a series of choices, and most definitely is not limited to simple
mirror and flip into quad grids.

I will hex grid replicate almost anything you want me too.
Is it that you want the yellow floret looking motif to be the exact center?
It will end up being a six lobed floret I would imagine.

In your seed image,
see if you can supply a 1200 by 1600 in your next design.
By the time I had cropped the image to a usable parameter of replication,
the size was dramatically reduced,
and thus the expansion was dependent on the original image size.

I am having terrible difficulty maintaining image sharpness.
That is why the bigger and sharper the image you provide the better.
Your last image was plenty sharp,
but relocating the replicated grid to this forum causes massive loss of clarity.

I have also managed to offshift...or off center multiple grid reflective symmetries.
It only works in various mediums, clouds water etc,
example:
You know the random flow of water with each wash of the surf to the shoreline,
and that is also how your fractal flow imagery displays itself in a still image.
Here are multi symmetry lines although almost indistinct,
they are all offset.
Look for all the faces in the forefront.
The rear faces even have fins and a tail submerged in the water but apparent.

[Image: surfer1dae.jpg]



closeup of surf monster critter jitter facial features
[Image: surfer1b.jpg]
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#79
PNG test.2......

[Image: hirestest1.png]
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#80
That one was more difficult.
Need more bright color variation.
I kind of ended up with psychedelic Persian carpet.
The central hex however has alternating light and dark lobes for a 12 spoked center total.
Some slightly offset reflections but other wise pretty clean.
I had to sharpen it .,,like 6 times,
conversion from png to jpg definitely loses resolution.

[Image: kalterhexmar15.jpg]




interior closeup
[Image: kalterhexmar15a.jpg]
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#81
Vianova......great effort on your part......
Sorry about the blue tones which didn't work for me, but WTH I was ready to crash at the time.
So anyway...I did what you said by plotting the original at 1600X1200, but for some reason it was only saved at 1440X900 (my monitor resolution). Then, after I uploaded it to Photobucket, it was saved at 1023X768...so right there are 3 levels of degradation. Then, after it's jpg-ized at THM, and with the fuzz enlarged...
...well...you get the picture...... Hmm2
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#82
Re...ChaosPro......get the latest v4.0. <img src="{SMILIES_PATH}/hi.gif" alt="Hi" title="hi" />
An initial test shows great speed increases, and an emphasis on Mandelbulb type parameters.
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#83
Quote:I did what you said by plotting the original at 1600X1200, but for some reason it was only saved at 1440X900 (my monitor resolution). Then, after I uploaded it to Photobucket, it was saved at 1023X768

rotate your images 90 degrees
ie
use
1200 by 1600 for a vertical orientation and photobucket tends to allow a larger image,
that is what works for me to get larger images from their parameters.
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#84
Martian DNA inside a rock (discovered by ......) Cannot reveal the source...

[Image: Apophysis-100315-29.jpg]
Seek and ye shall find. JESUS
------------------------------------------
I am a recovering vegetarian   Hi
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#85
mayito......that's what I like about fractals...symmetry is an illusion......
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#86
Quote:symmetry is an illusion

symmetry is no more an illusion than a fractal is....
the fractal invariably aligns into hidden order

Mayito's image reconstructed

[Image: mayito2a.jpg]
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#87
hex-a-thonic mannnnn

Ha!

Mayito's image in hex-a-mation



I lost .... 35% resolution by transfer to this forum.

Maybe Keith can eliminate the image resizing forum wide,
and restrict it to the two Mars and Space forums....
my images are twice as sharp as that...
I just resharpened the image...5th time to get it to 20% loss of sharpness and color intensity

[Image: mayito4.jpg]




interior closeup
[Image: mayito4a.jpg]
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#88
"...symmetry is no more an illusion than a fractal is....
the fractal invariably aligns into hidden order..."

OK...yes...but what is the nature of that "hidden order"?

Unlike classical geometric symmetries, in which a given outcome is entirely predictable, chaotic equations don't precisely lead to a definite conclusion and any perceived symmetries are only apparent and disappear upon closer examination.
For instance, in Mayito's original "Martian DNA" image, there seems at first glance that there is an overall shape but then you realize that the endpoints of any triangulations are shifting around in weird patterns. In other words, what appears to be, say, an underlying triangle is only an artifact determined by how long the equation runs.

This is why...in the olden days...mathematicians who stumbled upon them labeled chaotic equations "forbidden" or even "pathological"...precisely because the math refused to "work out".

This is why doubts linger about Einstein who refused to believe that God plays dice with the universe......

...if that makes any sense......
I think the experts call it "pareidolic confabulation"...... <img src="{SMILIES_PATH}/reefer.gif" alt=":uni:" title="reefer" />
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#89
[Image: Cave1.png?t=1268969301]
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#90
A zoom into a previous image......

[Image: cremzoomout4.jpg?t=1271655248]
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#91
Good to see this thread back up!
Lot of good work put into it
I will try the top image:

egg-ternity
[Image: kalterh2a.jpg]


Look for the small lioness heads as the golder hex points
[Image: kalterH3.jpg]



See the lioness heads?....with wild ...psychedelic ... flames out of the top of their heads....almost like a turban,
you have to twist your head for every hex point to see each head, about 3 inches from center they are located.
[Image: kalterH3a.jpg]
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#92
Quote:See the lioness heads?....with wild ...psychedelic ... flames out of the top of their heads....almost like a turban,
you have to twist your head for every hex point to see each head, about 3 inches from center they are located.

Like this ???

[Image: 1682811012_019cf82f05.jpg]

[Image: 142.jpg]

http://www.schizophrenia.org/artist.html
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#93
OK OK
so you don't like the lionesses...? hmmmm
did you see them?
3 inches straight up from center is the easiest face to see.
This often happens with reconstructed grids, sometimes something totally alien pops up.
remember the alien bug with the insignia in the regridded light image back in your art madness thread?
I will try to find it
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#94
I found the critter!

[Image: alien1.jpg]
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#95
Yes, I saw the lionesses and I liked them.
I see faces of all kinds in your grids...mostly gargoyle types!!!

By the way, tell me what colors are you blind to...so I can avoid certain palettes.
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#96
Quote:Yes, I saw the lionesses and I liked them.
I see faces of all kinds in your grids...mostly gargoyle types!!!

By the way, tell me what colors are you blind to...so I can avoid certain palettes.


I can see all your colors.
It is the goddam codes that are purposely integrated with color camouflage that i cannot see.

I cannot see certain red signatures on paintings unless in direct sunlight,'
and that can be embarrassing as a dealer.

As far as palettes,
try and keep some brighter vibrant colors in the mix.
Those irridescent yellows reds and blues greens are cool, avoid too much black or too dark of space.


edit
on the "gargoyle" type of faces.... that part is odd, and i know exactly what you mean.
You see it in mirrored or "bookmatched" burl walnut veneers,
marble tiles,
and especially in Mars {and Earth} landforms that are mirror imaged.
It was Mad Max with his Mars Face manipulations that came up with a lot of gargoylesque features
attributed to a plethora of Godz.

I see this as well in water grid manipulations...I have a recent one I will post.
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#97
[Image: Artwork-Cosmic-Tigger_photo_medium.jpg]
Never invite a Yoda to a frog leg dinner.
Go ahead invite Yoda to a Frog leg dinner
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#98
WOW!!! Get the latest ChaosPro update v4.0.228 !!!
http://www.chaospro.de/
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#99
Nice image Wook.

Kalter says

Quote:Yes, I saw the lionesses and I liked them.

I see faces of all kinds in your grids...mostly gargoyle types!!!

By the way, tell me what colors are you blind to...so I can avoid certain palettes.

In my last post I talked about those "gargoylesque" features that show up in a lot of reflective symmetries.
Gargoyle is kind of a cover all term for a lot of facial morphologies of animals that are mixed together,
then interpreted by the viewer.

Fractal constructs like your recent ones Kalter seem to have a movement a flow factor,
they have a fluidity, and as such a natural correlation would be water movement.
In water grid reconstructed symmetries if you catch the right motion of water
you can get odd apparitions of facial motifs.
It is unfortunate that a preponderance of this style of facial image appears from water movement grid reconstructs,
but one has to remember that the face you see and interpret in the image,
is just an expression possibly of the fierceness and ruthlessness of nature itself captured in the grid reconstruct.
But since we are on the subject of gargoyle faces,
I will show two versions of the Crowned Water Demon.
This also shows how vectored but random fluid movement becomes reflective symmetry ordered.



[Image: 33a.jpg]





[Image: 2ga.jpg]
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