3D MANDLEBROT

[Wook]

thanks for the pictures everyone

[Kalter Rauch]

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?

Vianova......The worst degradation when posting images at THM comes from the resizing tweak. I know you've complained about this before, but I've never seen an official reason given for it.
Maybe TPTB thinks size is more important than quality???
Anyway, as far as "pixellation" goes, there seems to be a correlation with lighting angle, palette choice, and iterations applied to a given formula.  More iterations lead to a kind of "tearing" along curves which isn't an aliasing effect but actually a chaotic effect, as zooming into affected areas will show.

The following example is from a default parameter set with a couple lighting and palette tweaks applied to the original 640X480 image......

[Vianova]

Those are outrageous Kalter.

They are interdimensional fractal landscapes.
They remind me of the silicon carbide landscapes I redgridded earlier in the Pentad thread
in which silicon florets appeared alive like blooms

What is alive there in Kalter's image?

In  ity is what.

Regridding your landscapes does not improve them from their true impact as virtual reality,
and I like the free form interdimensional landscapes {as I interpret them},
but as you create them in your designs,
but you like the hex grids, so I made one anyways,
in a complicated fashion, plus my splices are not 100% so I get a bit of an offset hex.






close up interior

[Kalter Rauch]

What is alive there in Kalter's image?

No two snowflakes are alike...

http://www.youtube.com/watch?v=nBQorLKXW...re=related

[Vianova]

Your images that I refer to as fractal landscapes,
are like
flowing fractal biomorphs...
they are cool.
I was looking at these magnetotactic bacteria in Martian meteors ....biomorphs...
in that thread over in the HM Review section,
and one of the images looked like your fractal flows in a way,
so I did a very complex regrid of those bacteria
and they ended up with an almost cauliflower fractal like display.

Note how the actual bacterial colony appears as a 3D tetrahedron, do you see what I mean?
The tetrahedron paek is just below dead center.
Here is one of the close-ups:

[Kalter Rauch]

Note how the actual bacterial colony appears as a 3D tetrahedron, do you see what I mean?
The tetrahedron paek is just below dead center.
Here is one of the close-ups:

:uni:

[Vianova]

My beautiful Martian germ colony in tetrahedral splendor may indeed be
toxic biohazard Martian born pandemic bacterium that causes polyp growths in this biopsy
from Kalter's colon.



But yes, I actually agree, it is beautiful in it's unique grotesqueness.
The silicon carbide nanoflowers were much better.

[Vianova]

Kalter in your Chaos Pro images and that program,
I don't have time to play with the download
and everything else I look into, and figure that program out,
but from what i can see about these programs,
are that your own personally selected mathematical coordinates
are installed into a fractal generator.
I am interested in the mathematical process you experiment with in deploying the program.
Have you tried any aspects of universal constants in any fashion?
Or is my idea of the entire process and supplying mathematical coordinates faulty?

[Kalter Rauch]

Vianova...yeah, ChaosPro can be a somewhat daunting program to become familiar with. So far, with these 3D Mandelbrot images, I haven't been entering the actual complex number coordinates from the Mandelbrot set although there is a dialogue box to do just that. It should be easy enough to do by getting the coordinates from a plot of a 2D Mandelbrot set and then entering those into the 3D module. So I've been relying apparently on default coordinates.

OK...regarding "universal constants"......look at this Skytopia page...
http://www.skytopia.com/project/fractal/mandelbulb.html .
Scroll down to "Opening Pandora's Box For the Second Time". The article discusses efforts dating back over 20 years to derive 3D renditions of the Mandelbrot set. You will see that the author discusses using "phi" as a rotational pivot point. I'm really math challenged when it comes to this material, but maybe you can derive some useful data???

[Vianova]

Kalter I am put for the day because it is full time spring here and beautiful,
and I want to be at the beach of Infinite Rocks
looking for Jade at the low tide which hits at 5 PM.

So a quick comment on that image you posted,
and offering "constants" or "harmonic code" into these Mandelbrot sets
that create these fractal images.

Note in the diagram the simple math statement:

Multiply theta and Phi by 2

Phi is a function of Square Root 5 or vice versa....

Phi = 1.618033989

2 Phi = square root 5 + 1

Phi / 2 = sine of pentagonal 54 degrees

4 phi = 6.47213596 ..... rounded at last digit

now to show the harmonics available in 4 Phi:

4 Phi = 6.472135956

Venus synod to Earth = 584 days

4 Phi x Venus 584 = 3779.727398 = almost exact 10 x Saturn 378 day synod to Earth
factor of error = 1.000072 or .... 7 / 100,000

This cannot just be a coincidence.
This shows that Phi is a function of planetary movements and timelines in the "macro"
that will probably also operate with such unique possibilities in the "micro"
of fractal generated images.

Now we will operate with a unique number found in my recently posted Sqrt Phi Octagon,
and with 4 Phi = 6.472135956.

Sqrt = square root
Sqrt Phi = Sqrt 1.618033989

Sqrt 4.618033989 times Sqrt 1.618033989 = the Sqrt of { 4 Phi + 1 }

your hand calculator may show slight differences in the rounded last digit,
because hand calculators automatically round to the tenth digit,
but that should be correct .

So Phi harmonics are very apparent here,
and Phi is a good choice to play the fractals with.


4 Phi + 4 = 10.472135956 = 3.33333333~ times my universal Harmonic Pi or uPi

uPi = 3.141640787 ............. 10 uPi = 12 Phi squared

If you get the hang of installing coordinates into the fractal equations,
I would offer some possibilities to explore.
I might post that Sqrt Phi octagon here, if you would like to see the harmonics of Phi in that.
There are many "harmonics" to explore other than Phi though in possible applications to
these fractal equations generating the images.
But Phi is an excellent choice to start with.
Look at dodecahedral geometry as well.

[hrm]

Kalter I am put for the day because it is full time spring here and beautiful,
and I want to be at the beach of Infinite Rocks
looking for Jade at the low tide which hits at 5 PM.

bitch!

all I get is rain, rain, rain, rain
your rain I might add

pfffftttt..

just kidding

Good hunting V!
..beach of infinite rocks in the golden rays...
I can see you in my hearts eye now
dragging a boulder bigger than big across the
infinite (and endless) sands..
you have moderately wet feet
but you are smiling..

a big smile!

[Vianova]

One of my favorite Lyapunov fractals emerging in the skies over the North Cascades.
This one is a remake of an earlier model.

[Vianova]

test image stacking.
similar to your stuff kalter

[Kalter Rauch]

What do you mean by "image stacking"?
Are you referring to the horizontal mirroring of my original image?
...or some more arcane process involving vertical integration of multiple images to increase apparent resolution?

Well...anyway...see if you can do anything with this zoom into a mandelbulb region......excuse the unsatisfactory color rendition......

[Vianova]

I still like my polyp at the top of the page....

[Kalter Rauch]

WOW!!! That hex grid has the rich look of an old Persian carpet!!!

ChaosPro doesn't have a specific sharpen function.
However, I think I can sharpen the edges by turning off the shadow function and making the lighting angle 90 degrees to the image. I'll see what I can do.

Great work, man !!!

[Vianova]

WOW!!! That hex grid has the rich look of an old Persian carpet!!!

That is exactly what I had thought to myself.
The Cosmic Shah Magic Carpet.
I am glad that you liked it.

It was actually quite a complicated method of getting there to that hex,
and I am taking a short cut near the finish that does leave a flaw in the pure hex grid.
Nonetheless it works and the symmetries are there.

In the early 90s I bought a fantastic and beautiful 1890's Persian prayer rug,
a Feraghan Sarouk with an ivory field, the most desirable.
What is even more incredible are the rugs with huge numbers of knots per square inch.
I saw some Tekke Engsi's that were unreal in tight weave, not to mention Kashan's.

You know,.... fractal pattern rugs.... might be a novel approach.
Might be too busy.


The Carpet of Wonder

On the 5th of May in the year 2001 after four years, 600 workers,
12 million man hours of work on the carpet alone
His Majesty, Sultan Qaboos bin Said bowed to pray in the largest Mosque in the world
on the largest hand woven rug in the world.

1.7 billion knots

[Vianova]

fractal flow on Mars

[Wook]

this is a fun thread to read before going to sleep

[Wook]

[Vianova]

slow night at the forum so why not....in all that Martian desert
there is a lot of water stored in the matrix



reverse color

[Kalter Rauch]

Well hell...now I think I'm looking at a couple major bugs in ChaosPro, so I'm considering going to a different engine...like this one......
http://www.subblue.com/projects/mandelbulb
It works through Adobe Pixel Bender, which I've never heard of, but supposedly the rendering is done through the GPU and not the CPU...sooo it works really fast...... <img src="{SMILIES_PATH}/hmm2.gif" alt="" title="hmm2" />

[Kalter Rauch]

OK...I got the Subblue 3D Mandelbulb Ray Tracer to work. It's definitely lightning fast (GPU rendering in 1 sec< vs >1 min using CPU), and not too hard to set up...but so far I'm having some difficulty getting it to work with ChaosPro pix.
Anyway, here's an initial attempt at a Juliabulb zoom......

[Vianova]

That thing is totally outrageous.
Damn thing is alive and moving.
Much better quality it seems than the other program.
That really is a great one.
I couldn't improve it, but the symmetry images are interesting as well.
There was a lot more than flip and mirror on this one.




artist flair I guess

[Mayito7777]

This is a picture of a new discovered colony of mayitus martianus fungusos

[Mayito7777]

My favorite one was the picture of a nanobitus martianus estrellus (a variety of multicellular organism) we don't know if it is a virus of an ancient form of nanobites colony.

[Mayito7777]

This last one was discovered when we analyzed samples of ice crystal from the area close to the FACE.

[Vianova]

lol
took me a couple of minutes to figure out your fractalized organisms.

Did you create those?
I especially liked
nanobitus martianus estrellus,
kind of reminded me of ....maybe a synthetic neuron in an advanced cyborg.
Nice work.
Beautiful symmetry in the last image as well,
reminds me of my electric light series ... Pleiadean communications signals ...
A CLOSE UP

[Mayito7777]

I made them with a fractal program called Apophysis

[Wook]

http://i9.photobucket.com/albums/a73/ma ... 202-2a.jpg
Excellent
<img src="{SMILIES_PATH}/applause.gif" alt="" title="applause" />

[Kalter Rauch]

Mayito....Apophysis,huh?!?!? I have yet to figure out how to get it to work meaningfully... <img src="{SMILIES_PATH}/hmm2.gif" alt="" title="hmm2" />
I agree with Wook on your



...a weird approach to "realism", for sure......

[Kalter Rauch]

That thing is totally outrageous.
Damn thing is alive and moving.
Much better quality it seems than the other program.
That really is a great one.
I couldn't improve it, but the symmetry images are interesting as well.
There was a lot more than flip and mirror on this one.




artist flair I guess

Yeah...I guess so...or maybe further evidence of chronic psychosis!!!
How did you get that twisted symmetry...a swirl filter???
Actually, I think you did improve on my image. It's a lot smoother.

Too bad this ray tracer program is proving to have serious shortcomings...
sooo...I went back to ChaosPro and found out that what I thought was a major bug
was only my unfamiliarity with an arcane parameter called "backplane clipping".

[Vianova]

Mayito, running that image that Kalter reposted of yours in 30 % more blue is beautiful.
If I had a close up of the center section of that image in sharp detail I could regrid it.

Kalter sez

Yeah...I guess so...
or maybe further evidence of chronic psychosis!!!
How did you get that twisted symmetry...a swirl filter???
Actually, I think you did improve on my image. It's a lot smoother.

Pinch and swirl at the end creates a descending center .
Only slight swirl at 30.
Then salt and pepper with chronic psychosis.

You chaos pro program is still not as clear and sharp as the second one you used.
It has odd edges to the forms.
Your new image is wild.
Can you make bigger images
800 by 1200?
I might try to play with it later.
Have you tried any math constants in your formulas?
Show me a formula input for the last image if you can.