Visual Proof

The main purpose of the above and below diagrams is to document
that the Frame-points A, B, C, D, E, F, H, I,  do indeed fit the exact
CAD design superimposed over both bitmaps. Each bitmap was 
obtained independently from an undigitized copy of the image.
Of course, no scan equals the original. In this regard, it is instructive
that while I was able to draw visually accurate angles (using a pencil,
a protractor and a ruler) over an undigitized copy of the engraving,
scanning the whole thing later ( istar, and jaystar2) - the same points 
in the two scanned versions produce slightly less accurate angles. 
Still, the results are more than satisfactory.
We may infer that the original engraving should produce the most
accurate geometry..
 Because the Frame points fit a number of exact designs, it is self-
evident that all these exact designs are interconnected. What my
research has not yet uncovered, is how to derive the Frame points
from the Cone & Square formation. However, judging by numerous
indications, I am quite confident that sooner or later this information
will become available, as well.

 
The high degree of formal harmony between the star structure,
and the image's lineart is clearly evident in the above gif. Of course,
we may develop the structure in more detail, and inspect the lineart
under a greater magnification like in the diagram below.
 

 
In many cases, we see the star-lines running the same course, as
the image-lines, or delimit each other's boundaries. A strong example
of such improbable passage is given by the C-F segment:  

In the undigitized copy of the image in my possession - the C-F
segment passes through the vicinity of eleven points. Thus it has
eleven chances to catch a point on another line. Since there are
many more chances to miss, especially since the line moves 
through the thin periphery - we would expect that it  might 
connect several points, at best. 
Instead, the C-F line finds ten points out of eleven possible! 
                 *               
The C-F segment subtends the TriLibrium, which we have
seen fulfil a whole series of crucial roles in the Frame chapter.
Once again, we must elevate our estimate of the TriLibrium's
importance. The TriLibrium manages to overcome long odds,
time and again, and acquire an intensely artificial character.

(Figuratively speaking, we move its standard from the world record
mark on the pole vault an inch higher. From this level, spontaneous
cases of order in art appear like dachs-hounds playing Frisbe. 
 

 

 

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