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3D MANDLEBROT - I.M. Huami - 11-20-2009

cool...

http://www.newscientist.com/article/dn1 ... actal.html


Re: 3D MANDLEBROT - REDSHIFT - 11-21-2009

Very COOL! Applause


Re: 3D MANDLEBROT - slidika - 11-21-2009

I had not seen/heard of/considered a 3-D Mandelbrot -- nifty! <img src="{SMILIES_PATH}/applause.gif" alt="Applause" title="applause" />


Re: 3D MANDLEBROT - Vianova - 11-22-2009

always love new fractal stuff.
the art creator said that they still have some detail issue to work out.

whenever a new fractal comes around
I try a new image regrid operation that I haven't done yet.
Some work out some don't.
I ended up doing these fractal images all night instead of the forum

The Quaternion fractals by....Paul Bourke I think his name was,
came out especially cool in my process.

below is a cauliflower fractal that maintained it's 3D look in the regridding
that some images lose to 2D with over processing

[Image: 1caul1.jpg]


I took one of this link's fractal images which were about 500 by 500
and expanded it to 3000 by 3000 pixels in replications, angle applications and whole lotta wtf
but it lost some of the 3D  look once reduced in size to the format in photobucket

[Image: DSC09137c.jpg]


Re: 3D MANDLEBROT - Vianova - 11-28-2009

here is one of Paul Bourke's quaternion julia fractals
http://local.wasp.uwa.edu.au/~pbourke/f ... quatjulia/

[Image: q3big.gif]


Re: 3D MANDLEBROT - Kalter Rauch - 11-29-2009

Vianova......if you want to explore quaternions (AND have a fast CPU) then you really ought to download ChaosPro...
http://www.chaospro.de/
The program has a detailed quaternion module with lots of parameters to tweak.
What you want to do is rotate the quaternion so that you can zoom into the interior spaces of the set.
A quaternion has been described as "a 3D slice of a 4D Mandelbrot set". I don't know that that's precisely accurate since all quaternions I've seen are derived from Julia sets, which are associated with every point in the Mandelbrot set. Thus the Mandelbrot set is said to be a "catalog" of all Julia sets.

(Note...there are also "octonions" of which I have no experience.
Here's an octonion image gallery... http://www.mysticfractal.com/octonion.html )


Re: 3D MANDLEBROT - Vianova - 11-29-2009

Those octonions are pretty cool Kalter

I took this one from the selection
[Image: solstice.jpg]



and tried a grid symmetry patch job that was...extensive but quick enough in the time I have to play,
but actually failed to improve the overall impact of the image that much really.
My methods in this case produced over symmetry to a degree though it does grow on you,
and I like the above freer flow to the ontinion a little more so than the symmetry replica,
probably because the actual octonion has a defined finite form,
whereas the symmetry replicas need continuous replication upon symmetry vectors
unless I paint in a finished end to the right and left sides.
But then my bets are that once quaternions and octonions are applied to practical science
they will be replicated upon symmetry vectors mathematically.
[Image: octinion.jpg]


Re: 3D MANDLEBROT - sarafina - 11-30-2009

I LOVE these images! They really speak to me and are so beautiful.


Re: 3D MANDLEBROT - Kalter Rauch - 11-30-2009

Quaternion interior......

[Image: THOT4.jpg]


Re: 3D MANDLEBROT - Vianova - 12-01-2009

You can almost feel that quaternion fractal move Kalter...
It is like it has it's own life force movement.
It exudes the acoustic churning of bio morphing interdimensional shapes.
These quaternion, octonion and then the Lyapunov fractals are fabulous imagery.


this is one of mine just recent....since the last quaternion was an interior,
I finally figured out here how to triple the size of my overall images
and thus this is a close up interior from within the light energy matrix,
and I will post other closeups in the Pentad thread.

center image for viewing and scroll up from bottom slowly for best effect

[Image: 1aa5.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 12-01-2009

V......I wish your sotware allowed for triangular grids......

[Image: f1301.gif]


Re: 3D MANDLEBROT - Kalter Rauch - 12-02-2009

Fire & Ice

[Image: FireIce2.jpg]


Re: 3D MANDLEBROT - Vianova - 12-02-2009

Quote:V......I wish your sotware allowed for triangular grids......

[Image: f1301.gif]


I think actually I can probably make it work if I only use a perfect equilateral triangle
as used in your image.

One would have to transfer a square {or rectangular} target image of...flowers,
into the middle of a large blank master image,
then trim a nearby rectangular section of the blank master image area
& rotate that blank trim section 120 degrees,
then slide that into your actual target image laterally,
to the exact midpoint of where you want it the triangle peak,
and then repeat the same process from the opposite direction
with a blank section rotated 120 degrees the opposite diredction.
This then has snipped or trimmed off two perfect angular sections from you square image,
into an equilateral triangle, with the remaining blank space all around it in the master blank.

From there, you then rotate the full triangle that your target image remains in ...120 degrees,
and simply mirror or flip each side like that.
I might try it.
Theoretically it should work if you triangle is perfectly equilateral.


Re: 3D MANDLEBROT - ArniK - 12-02-2009

More, more. I am enjoying this photo fest, really. Thanks guys, unless I decide to try this myself and get all sucked in. Then I will blame you for my new way to spend time on the computer. I can't do everything I see, but some of these images are so amazing, it's hard to not want to try them myself.


Re: 3D MANDLEBROT - Vianova - 12-03-2009

Arnik
Wook posted a great fractal video in the Pentad thread
so I put it here as well for everybody.
Go to large screen at some point to view it.

http://www.youtube.com/watch?v=vuyRCfhCZT0&feature=fvw


Re: 3D MANDLEBROT - Vianova - 12-05-2009

Quote:V......I wish your sotware allowed for triangular grids......



OK, I tried my method as I described it in my earlier post  here
and with what time I have I put one together, and it is time consuming.
One has to use a combination of 30-60-120 degree rotations and multiple triangle piece units,
a lot of initial experimentation, and one actually needs a blank of about 10000 by 10000 pixels
to do it right and get a full detail huge hexagon.

This is a reduced size image from photobucket, and I will also supply a close up of the interior.
This is a Pacific Northwest Sunset image.
Keith has his forum software here to set increase image size a small amount,
so no matter how I sharpen this it won't be perfect, so the actual image is much crisper.

[Image: 1ahexb.jpg]



close up of upper center
...............................[Image: 1ahexc1.jpg]


interior center close up
....[Image: 1ahexe1.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 12-05-2009

V...yeah!!!...that's what I was looking for...because to me these triangular rotations have a much more dynamic quality than the basic 90 degree horizontal/vertical reflections......

You might want to experiment with KaleidoTile... http://www.geometrygames.org/KaleidoTile/ . You can save images, and use your own images in triangular, hexagonal etc. mapping onto spheres and other forms. The program is for grade schoolers, but I'm sure there's more sophisticated tiling stuff out there...

I hope you found the effort worthwhile...Thanx!!!


Re: 3D MANDLEBROT - Vianova - 12-05-2009

Quote:V...yeah!!!...that's what I was looking for...because to me these triangular rotations have a much more dynamic quality than the basic 90 degree horizontal/vertical reflections......


actually I do much more than just the 90 degree horizontal / vertical reflections
in almost all of my images,
and basically one can reproduce most of the impact of the triangular reflections
with a square or rectangular image
by merely rotating the image in a blank by 60 degrees
trimming out  a square or rectangle there after,
and this will give you basic triangle and hex reflections


I will show you what I mean

seed image is from the net in a random search of fractals

[Image: 400123862_6cf54e99c8.jpg?v=0]


above image is modified in an initial rotation scheme to accomplish initial desired symmetry
then
it is 90 degreed horizontal and vertical flip mirror style etc
like you mentioned
and this is the result

[Image: 1afraca.jpg]




additional rotation into triangular coordinates  and reorganization with initial 90 degree flip mirrors
reveals a basic hex design to the entire framework here in the small version
and the large version is below this one

[Image: 1afrac1ab.jpg]




[Image: 1afrac2ac.jpg]
[Image: 1afrac2ad.jpg]




close up of interior and all the above images made from a single 500 by 500 image!
[Image: 1afrac1ba.jpg]


Re: 3D MANDLEBROT - Vianova - 12-05-2009

I put two of these in the Pentad thread so there is nothing newer there than these images
without the accompanying text heretext

This is what Kalter is looking for ?
I guess it still isn't quite a full hex replication like the sunset scenes.
One could take the sunset scene and replicate along the hex borders
but the it is really no different than what i have done prior post


[Image: 1afrac4b.jpg]





interior closeup
[Image: 1afrac4c.jpg]


Re: 3D MANDLEBROT - Chocolate Thunder - 12-08-2009

Those hex replications are tough.
I still didn't get it quite right in this one, but the central hex is there
with the emerging 6 sphere like units around it.
I tried for a visual effects ....image.
Seed image is the Ross Lake dam face front.

[Image: 1ab8.jpg]


Re: 3D MANDLEBROT - Vianova - 12-08-2009

Better but still not exact,
the hex stuff is cool with this electric blue and gold Lyapunov fractal

[Image: 1ab9.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 12-10-2009

Quote:This is what Kalter is looking for ?

I'm trying to think of superlatives deserving enough to describe your latest work...

Exquisite

MC Escher would be proud

Your latest Lyapunov study is almost perfect. I can see a slight tweak along the horizontal plane is necessary at least to ensure symmetry along all rotation faces...
IMO, of course......

Is there something inherent in Lyapunov structure which makes it so metallic-crystalline?


Re: 3D MANDLEBROT - Vianova - 12-10-2009

Quote:
Quote:This is what Kalter is looking for ?

I'm trying to think of superlatives deserving enough to describe your latest work...

Exquisite

MC Escher would be proud

Your latest Lyapunov study is almost perfect. I can see a slight tweak along the horizontal plane is necessary at least to ensure symmetry along all rotation faces...
IMO, of course......

Is there something inherent in Lyapunov structure
which makes it so metallic-crystalline?


"....metallic-crystalline..."

I know what you mean....you can almost taste it in a psychedelic way.....
I always get this sense that it has fluid properties that are electric.
The old....see sound and hear colors liquid electric crystalline metallic psilo-morphic entities...

I tell you what, I nearly fried a mental circuit that night trying to create those hex replications.
damn,
I tried to find the shortcut because I know it's there, and I created blank image space
up to 6000 by 6000 trying to build a giant hex of hex grid tiles all around the same central tile.

I couldn't find the "short cut" that night,
but I have stumbled into it by accident but forgot how to do it,
i.e.
I am not using the programs for hexes, I am creating the hex tiles
and adapting the program I have using flip mirrors and rotations and splices etc.
Sumbitch,
I am dizzy and freezing cold and I look at the freaking clock and it is 3:05 in the morning
and I have to drive to Seattle next day.

<img src="{SMILIES_PATH}/bricks.gif" alt="Bricks" title="bricks" />

I dumped a shit load of images in the files, I will grab one.

one hour later....after another attempt, I am getting much faster with a clearer mind now.

I got it and more....I found a way to include symmetry that changes
as you approach the corners that would then replicate itself in a perfect hex system again.

This is it but I played with it for effect, and the original is 5500 by 5500 pixels
so this is the reduced photo bucket version of a massive replicated hex grid

[Image: 1ab14c.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 12-13-2009

I really need to crash and think about all this on a deeper level.
It seems like you may be verging on a great discovery...
...something to do with "self-assembly"......and something I just read about Lyapunov fractals and bifurcation diagrams......


Re: 3D MANDLEBROT - Vianova - 12-13-2009

Quote:It seems like you may be verging on a great discovery...
...something to do with "self-assembly"....
..


Reality is a matrix of sacred geometirc grids
that can operate with the fractal expansions into physical existence.

the interdimensional interwoven matrices can be accomplished by simply
altering grid placements and rearrangements.

That is why when you are high on ...psilospore.... you can see universes within universes.
You can see an alternate universe in the very fabric of our universe.

On a very basic level of grid replications applied to important geometry
look at my Mars Pentad Tiles.

You take the tetrahedral grid of the Mars Pentad mounds,
mirror it first
then
flip it
and you have the Pentad Octagon Tile Grid that replicates multiple geometries to infinity
possibly better than Penrose Tiles.
By the ways,
I got a US copyright on the Pentad Tiles!.....I was very lucky and happy to get that
even if it goes nowhere in my lifetime.

here is the Pentad Octagon tile replicated into a larger grid
displaying multiple geometries to include hexes, octagons - decagons<---
and a 12 sided figure.

The two decagons are in red side by side vertically oriented with tetrahedral geometry



Bottom half of the Pentad Octagon shows the Mars Pentad mounds in the left hand side
[Image: pentadmounds-1.jpg]



the Decagons in the grid
[Image: pentaddecagons2.jpg]



Decagons circumscribed by 12 sided figure
[Image: pentad12sidefigure.jpg]


Re: 3D MANDLEBROT - Vianova - 12-18-2009

Still working on hex diagrams....doing another with a sunset

here was a failure using a Lyapunov fractal,
it just got convoluted

so I smunched in a cosmic ball

this was a hell of a lot more complicated than just flip and mirror

[Image: 1ab55l.jpg]




this is a hex grid ...in an out take from a central huge image,
[Image: 1ab55g6.jpg]


Re: 3D MANDLEBROT - Vianova - 12-19-2009

hex grid with clouds

[Image: zsunsetc.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 12-31-2009

An interesting fractal forum...as per the lead post in this thread about The Mandelbulb......
http://www.fractalforums.com/index.php
...lots of 3D fractals and animation videos......
[video:jox5ysoh]http://www.youtube.com/watch?v=osFmse_KycA&feature=player_embedded[/video:jox5ysoh]

more videos... http://video.google.com/videosearch?q=m ... en&tab=wv#


Re: 3D MANDLEBROT - Vianova - 01-01-2010

Those fractal videos are great,
aside from the fuzzy and blurry or pixelated clarity that they exhibit.
This video that you posted had a little better quality in clarity of image,
but the trip was excellent.
At times it was like being in a separate universe that is all fractal just like that,
and those wild Mandelbulbs could be Mandelplanets orbiting Mandelstars,
and beings in that universe are like moving morphing fractal fluidic mandelplasma.



Yea, it was a tasty one, the roach is in the ashtray grinning and I am smiling.
lol

It makes you think OK, what would  I look like traveling in this fractal universe?
Well, yea there I was all pie faced and slant eyed .... watching u-tube fractals...
Or consider that 3D fractal trip as part of another universe possibility in the multiverse,
would it be my aura, my astral traveling body taveling,
or would I be very much alive there .... the fractalized human.
That was my sense that you have to part of the medium you are in....and of it's substance.
Dreams of traveling through what I believed was the 4th dimension matrix of electric sacred geometries packed densely tight like cosmic diamond,
I experienced myself as liquid electric plasma flowing through the matrix.

So the fractal universe that we see in those computer images
is a relatively new experience in general human consciousness,
aside from the psychedelic versions experienced throughout history.

I looked for quality images a bit last night,
there are a lot of ..."the same old fractals" ...out there,
and some sites just won't download good images to the computer.
I found a few nice ones here, in the Gallery section.
http://www.fractalsciencekit.com/

This was from the "orbit trap" images and is exceptional.
[Image: f0871.jpg]


so I did a huge hex grid from that little single image.
I isolated this central section of that huge hex grid to display a closeup.
Offered in reverse color as well which is a trip in of itself.

[Image: 11hexfrac.jpg]





[Image: 11hexfraca.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 01-02-2010

Quote:At times it was like being in a separate universe that is all fractal just like that,
and those wild Mandelbulbs could be Mandelplanets orbiting Mandelstars,
and beings in that universe are like moving morphing fractal fluidic mandelplasma.
[Image: white-widow-venta-semillas-online.jpg]


Re: 3D MANDLEBROT - Kalter Rauch - 01-09-2010

ChaosPro 4.0 is out, and includes a 3D Mandelbrot module...

Here are my first attempts...

[Image: Juliabulb1.jpg]

[Image: Juliabulb1a.jpg]

[Image: Juliabulb1b.jpg]

[Image: Evil1.jpg]


Re: 3D MANDLEBROT - Vianova - 01-09-2010

Those are great!
They look like landscapes that are alive and moving like ...Mars mud full of biofractal
...in another dimension.
Very cool.

I might try one in a re-grid if you don't mind.
I particularly like the last two, but number three came out a bit fuzzy,
but that might be due to the image sizes here at HM being magnified a pinch.

This Mars landscape is a "geometroglyph"  {lol}
but has a pinch of flow to the barchan dunes similar to your effect but not near as impactive.

[Image: barchandune4a.jpg]



thought I would toss in an Escher eye catcher as well while I am at it

[Image: 1ab13m.jpg]


Re: 3D MANDLEBROT - Vianova - 01-09-2010

Your images are better not re gridded.
They have better flow and life to them as original, but the regrid is interesting.
Some detail is lost however, and there is a degree of pixellation in your seed image,
probably from reducing the  image size..?

In any case I also added a little color.
can that fractal program offer better clarity of detail?
The bottom half of this image below is the better half to view.

[Image: zzzfrac2.jpg]