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resolution looked great at 400%
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I didn't notice the artifact in the last image.
It's the x arrangement of intermittent white lines
which can happen with the GEGL/mirrors.
I've only seen it before as solid white lines.
I chose the one a few posts back.
Your last pentagonal geometry lost detail resolution.
Perhaps when your program increases the geometry it loses some detail.

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pretty darn good resolution at 400% in my pentagonal regrid,
when using your free form image {not geometry replicated}.
See Above...400%......FWAWK !!!


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looking at that last one with the vertical and horizontal symmetry lines,
the left and right sides are not perfect matches,
the top and bottom are not perfect matches,
as usual on most of yours.

What occured to me is that on a mathematical programming level,
with a formula for that image,
or for the replicated quadrant,
or a replicated half section,
all the program has to do is literally "tweak a decimal" a hair, on the left side equation,
to the equation that fulfills the right hand side,
to attain the very slight differential in symmetry reflection seen.

Or in essence you could take one quadrant,
tweak a slight decimal variation to that formula,
for each new quadrant created in rotation.

the symmetry alteration occurs right at the symmetry lines,
and then expands that formula into the quadrant.
Assuming you're referring to post #1593,
the only way to assure equal visibility
of a given feature, r/l or top/bottom,
is to treat the object as 3d and turn it in directions such that 
something is equally visible on both sides.
To properly orient the object
it is necessary to rotate the object 
in a horizontal and/or vertical direction
by degree settings.

For instance, a symmetrical polar view of my last image
would be seen by setting the vertical rotation ~90 degrees (+ or -).
Any fine tweaking is the result of totally empirical,
trial and error by eye, in fractions of a degree.
Due to parallax introduce by relative distances
features can be brought into (or hidden) from view.


Recall that high power Mandelbulb that looked like "sand"?
This next is a detail of a 100 power Involution
and you can see that perfect centering is impossible...

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After more looking I think this last might have been rotated ~<-1 degree
to correct alignment of a few small features along the central vertical axis.
last image 

the vertical symmetry line looks like a shallow vertical sine wave,
I could probably replicate that with very narrow oval spherize function,
several times located all along the vertical axis.

the horizontal symmetry line is straight

both symmetries are still just slightly off in both directions however.

I may just return to much lower powers
because if that factor is very high at all
then any strange shapes become regimented curving rows of 
featureless bumps when zoomed into.
A power 4 object retains wierd intricacy much longer.
3rd Power Mandelbulb Involution...

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The 3rd Power Mandelbulb Involution is really exceptional,
and certainly had a noticeble differential on both sides of the "approximetric" symmetry.
It really stands out dynamically at the forefront above the background.
Replicating a geometry on that one,
might somewhat negate the intense presence against the background that it has now.
I will have to think about it.
4th Power Boxed Juliabulb...

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I ran out of room in a 5000 by 5000 grid and had to improvize,
with repairs all around the perimeter background to make it fit.

This should be great detail resolution.

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Great resolution to 500% !

Note the significant embellishments I made to the main figure from your original.
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Looks like one of those NASA artist renditions,
of viruses surviving in far less than a nanodroplet of water,
somewhere in deep space water vapor.
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That last one is absolutely exquisite.
I will try that soon.
In the meantime I ran into an old image of mine of the light trails.
redone pentagonally

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Escher used a "droste" effect 
and this next is another, plus the last,
which uses a Tricorn Involution
run through a GIMP "Continuous Droste " filter...

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I had trouble with this one,
and somehow didn't get proper mirror reflections in the processing.
That means repairs with replacement ovals rotated into position,
and those are time consuming.
If you look hard, you will see the repair lines {a replicated oval replacement section}

Nonetheless, the effort was there.
Most of your recent images need a wide angle splice to incorporate a lot of the visual appeal.
Pentagonal fits that geometry best, though I am wearing the geometry out.
This reconstruction has a nice .... going down and in, depth relief.

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Visual paraphernalia for sure.

Images with surrounding transparent areas
force this droste filter to fill those regions
with synthesized patterns, which are rendered
in such a way as to give depth. 

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I liked the one posted at 12:53 best, of the last 4 selections.
I went in 500% to your last image,
to see what I thought were sawtooth lines on straighter edges.
Note how the background depth blurs into jagged forms.
The straight edge ... that shallowly curves down to the left bottom,
shows a distinct repetitive sawtooth pattern,'
and I am wondering if the computer program cannot compensate to disengage that edge, 
when it creates and cuts that closer layer,
over the deeper background layers.

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