One Plus One, Plus Even More, Is One, Nevertheless

i-star4.gif

If we complete the triangle from i-star0.gif, (based on Tri-balance's points working with the point I) into a five-pointed star, we obtain the big blue star from the above diagram . This is a perfectly legitimate transformation , in that it is the next step in a logical course of  realising the geometric potential of the position.

The Deeper Significance of Point - C:

The Tri-balance's point C performs the Golden Section on the distance C' - D', yielding the Phi ratio.
Therefore, a 5-pointed star based upon the distance between points 1 and C integrates perfectly into the position of the big blue star, and therefore it integrates with the color triangles from the "i-star1.gif" from the previous section. We must emphasize that this is in no way forced, as the point C can slide closer, or further away from the point 1.
In any such event (of shifting C), the red three-point circle (points C, 1, I) will not be a tangent to the blue pentagon's side I-2-A, nor will it center upon one tip of the smallest blue star, as it does now, and neither will the smaller red star's horizontal arm unite with the smallest blue star's horizontal
arm, etc.

Point - E:

Thiis point lies on the blue star, as well as on the red star. It is a triple intersection in the diagram.

Segment H - I:

One of the red star's points divides the segment H - I in two halves. I daresay, H - I must be directly related to this system.

Point - B:

Check the diagram for proof that the point-B is also integrated into the system.
                                                         *
Most of the points we've seen signal the 'Grand TriHex', inclusive of the whole Tri-balance, are now involved in a new system, dealing with a unique five-pointed star, and its grid. These points rest upon the TriHex hexagons, as well as upon the five-pointed star's grid.
The Frame-points are set in such unique position - key to so many regular figures ( we haven''t yet seen them all), that we may liken the Frame to a master-key (in a geometrical sense).
It is nauseating that quasi-skeptics propose that such a key can be cut randomly, and with ease.. Their blasphemies pass the media unopposed by those standing on the cathedra of authority, who watch the situation with amusement, tacitly lynching reality - the s.c. Lost Science of the prehistoric times.

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 Tri-balance, which we have
seen fulfil a whole series of crucial roles in the Frame chapter. Once again, we must elevate our estimate of the Tri-balance's importance. The Tri-balance 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.