The 32:27 question

The summary is written, but I am editing it as I go over and make the changes that are necessary in order to clarify it.
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That being said, this relationship must predate me with all the mathematicians in the world, so maybe you'd point this out, a reply, a link it would not take long.
On to the post:
In the summary presentation in the prior two posts we reached this analysis:

"The derivations are complicated as the amount of information increase, so the ratio expected is only found in the ctpi0-ctpi1 transition.  The calculations reflected in Table B require a recalculation of pi and sin for each increase in information.  Since there is no dimension from ct0 to ct1 (dimension begins with the move from ct1 to ct2) you can use the first point solution (for 1) to get a solution and when this ratio is modified (by changing the variable value) to go from -1 to 1 (ctpi-1 to ctpi1) you get a ratio of 32/27/8.  This is the .148148 ratio solution highlighted or y=256/27 in the equation 2*y/(pi0^(2n+1) which yields mirror image results for pi=1 and -1, the -1 to 1 in Figure A.  Put another way, dimensional curvature of the universe originates from the application of fpluspix from which is derived the simple compression function 2f(n)^2^n which comes from the simple equation: 256/27/(-1)=negative of 256/27/1.

"The 8 is separated for the inquiry since “whole numbers” come as -8 and 8 if 32/27 is used.  This is discussed at some length in books 2 and 4." 

Presumably, the double negative -43, -16 shown below results in “adding a place” going from 1 to 11 in terms of F-series numbers.
Patterns often appear just because you're looking at the same thing from different directions, but you'll see this one is pretty weird.
 

     The possibility of coincidence occurs, math error, and irrelevance; but AuT is self proving mathematically.  There is more reason to expect that the result that is expected occurs and look for the reason which will show why the first transition occurs and how it effect the subsequent transitions.
Independently, the examination of why this occurs and why it can be expected to create place, e.g. by the impossibility of a double result or by the very existence of the double result marking the two places is a piece of writing which is worthy of study.