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the background on the last one is excellent.
This adaptation of your earlier figure here in pentagonal geometry is certainly interesting.

[Image: twfHTgV.jpg]

damn it my center splice is off a hair,
that can be fixed but I' m done.
the image resolution holds up well at 400%


at 400 % look at the top perimeter protruding lobe with the blue tear drop shape inside,
it looks like it 3D rises out of the blue background.
But if you stay at 400 % and go to the two exact same bottom perimeter lobes,
they look completely inverted inwards.

[Image: 4isOlZf.png?1]
It is outrageous scenery.
it would have been a lot easier to perform a reconstruction if you had left the sphere out,
and that space had provided more background capacity to the excruciatingly intense forms below it.

edited out bad image <----


[Image: HN4eg5F.jpg]


It's pretty,
but the resolution at 400% does not match your original.
That is because I had to reduce the template size by 50%,
before sewing it all back together.
My computer just will not program the processing beyond 6000 by 6000.
Lot of work in all that, too bad I lost the resolution.

... seems like in the 2nd version
the central angles generate everything else in the picture.
here is an interesting revision of the failed attempt in my last post

This time I got your sphere involved and rearranged into ... florets?

[Image: PzgMeh8.jpg]



I magnified to 500% on the screen magnification settings here,
and resolution was great this time!

This is from plasma...

[Image: Jce0f9T.png]

Mapped onto box...

[Image: Rb0mcEk.png]

This was a 5th power Juliabulb...

[Image: rPH2hhl.png]
[Image: OImEV1U.png]

Re: the box...

I could have added oblique lighting
to make the sides apparent......
the box mapping is fun

can it apply to any image?

the juliabulb displays some perimeter edge sawtoothing in both images,
that most of your fractals don't 
[Image: OtqlNjC.png]
[Image: GAct6TW.jpg]

[Image: WTNoLxL.png]
I'll try to remember to use a gimp "fuzzy select/grow selection" tool
that eliminates the bad edges you're talking about......
on the first large image in the last post with the hexagonal grid,
did you splice the entire grid together or is that programmable? 
Is that image trimmed down from a larger image?
Or is that the full size and content that the programming produces?
(07-29-2017, 03:48 AM)Vianova Wrote: [ -> ]...
on the first large image in the last post with the hexagonal grid,
did you splice the entire grid together or is that programmable? 
Is that image trimmed down from a larger image?
Or is that the full size and content that the programming produces?

As per post #1395...

Done with GIMP GEGL/mirrors
in which the number of mirrors (in this case 3),
the rotation of the mirrors, and the final image rotation (ie. per screen appearance),
as well as the scale of the pattern
are parameters 
so no splicing or trimming are needed.

The GEGL tool contains a lot more modes besides mirrors.

[Image: hPpBMto.png]

...with 6 mirrors......

[Image: DW1Ctt3.png]
I figured it was a computer program doing the symmetry reconstructs.
the hex grid is incomplete and has been cropped by the program then.
So essentially the computer selects the original splicing template,
and then does the geometry rotations.
That right there eliminates the human eye in selection process.
There are a lot of subtle adaptations then, that the programming will always miss.
It also cannot perform compound geometries that later splicing can accomplish.
So I assume that it can do pentagonal, septagonal, octagonal and enneagon grids?

I will try your last image {not the hex}.
The center splice is off a hair in yours.

Something out there gumming up my computer tonite ...

inverted enneagon, and the single object you had up was significantly altered

[Image: Ed5Bo9x.jpg]
[Image: Tntem9X.png]

[Image: zq8I5KZ.jpg]
the bottom right one is a good one.
It's an interesting splice.
I replicated it in my processing with the image to the left of it.
That object with a 45 degree rotation to the left.
Did you choose, or did the computer choose the vertical axis of symmetry for the cut and mirror?
The original (looking like fractal levis)
used 4 mirrors plus a 90 deg rotation 
to the entire image including bkground,
at which point the 4 transformed figures appeared
on the 4-way mirrored bkground.

This next is an extreme distorted Tricorn detail...

[Image: 7GkOCvZ.png] this image was made from a colorized/textured solid noise map for the bkground
and the foreground is from a cut/mirrored/pasted tricorn connected,
and this is the only "human directed" element 
in the final "computer directed" 4-way image...

[Image: Tntem9X.png]
Re...max n-gon mirrors


I am on the run, swamped, won't be able to play for a few days.

Quote:n-gon 24 mirrors

that is
--> 15 degrees -- I cannot do it because my computer won't give me half degrees {7.5}

the tricorn detail is beautiful 

[Image: LjMLGMN.png]
[Image: Sb1vKfJ.jpg]
labor intensive -- had to replicate lots of background,
grid template was too large and I futzed it into a 6000 by 6000 and it didn't fit right,
and would not cooperate in a repair to properly fill the space.
So I truncated the pentagonal grid on both sides to maintain some symmetry,
yet allow a visual inspection of all possibilities rendered.

[Image: B6lAPUU.jpg]

Now this next is to show the effect of the Joukowski transform
on a Boxed 4th power Mandelbulb,
the view directly over a pole,
various versions being used many times earlier.
The transform has stretched and reformed the original
and splitting in two because of the fractional exponent used ...

[Image: 4xDeWf8.png]
That is wild and intense.
I kind of suspect that Cthulhu is lurking around the corner to this critter in the image.
Restructuring the image in symmetries however,
lost the ferocity or intensity of the object in the original image.

Interesting nonetheless.
Imgur sets the magnification too high.
One has to double click the image at the link to get it to normal size,
much better to use the computer magnification program m-- good to 400-500%

[Image: nUEAScV.jpg]


those little winged figures with tails in reflecting pairs along the perimeter are pretty cool.
they look like they are above the central object and flying on an upsurge.
[Image: hSQEdUX.jpg]
Re...your last......"Cthulhu lurking"......

I had recurring thoughts of the monster,
which led to the repulsive slug-like coloring,
and also Lemmy RIP,
so when I saw this story today...

I thought some kind of contact was made.
[Image: BdafUij.png]
[Image: luOfl3M.jpg]
[Image: 0uqbIie.png]
I really like the last one, psychedelic rock candy.
Might try it.
I got carried into the earlier one however in an attempt at a smaller overall size or grid.
Also tried a 12-gon ... makes nice florets,
but the perimeter design is pretty nifty.
double click over magnified image at link to get true size 

[Image: 2qNl1dl.jpg]


I usually develop an image from a larger template.
This time above, I used a smaller splice, 
and it makes a difference in results displaying less resolution.
This one only holds up well to 300%.

^->I'm at a loss for words...

[Image: UC7evuJ.png]
The background may have gotten over sharpened
double click over magnified image at link to get true size]

[Image: pP6lWke.jpg]
I might have to reserve some noise for certain subjects...
like that sphere...texture just didn't look good...... look at this.
indefinableinable dark "eels",
and then look at the next image
and how the mirrored context
makes them appear to be deeply shadowed areas...

[Image: hg3a2bO.png]

[Image: C4CGiGy.png]

I'll probably redo those....
No ... I see it to be predominantly " deep shadowed areas ' in both images,
and the eels are reverse topography,
like you see often with NASA images congested with too many craters,
and the smaller craters look like little domes, and fissure cracks look like long low ridging.
Regardless, the symmetry in this case fails the unique quality of the original image.