Speaking of middle ground, one thing I want to clean up is,

I came back to this bit by accident, when I went to extend,

I gave the first product a fair going over. Then, I went looking for the second products, the ones to go along with the first, 861 x 168 = 492 x 294. I knew that there had to be a second ones because part of the math for what I do splits the 2's, and 7's from the 6's, and 9's. The first products have the sums of nine (by 1 + 8) around the 6's, and, the sums of six (by 2 + 4) around the 9's. My first guess for the second products, was 621 x 126 = 171 x 171, with the sums of seven around the 2's, and, the sums of two around the 7's. Obvious the right side was too big, so I started to play around combinations of the factors of these numbers, in the ways that those of the first product's work out. Anyway, after some fiddling, I cheated, looked up the second products. This might have taken me some time, by trial and error, given that, as far as I have my theory of everything worked with real formulas, etc, there are, still, so many places these digits of the second products may go. Of course, there are trivial such products as 100 x 001 = 010 x 010.

These were the ones I was able to find,

The second products are a bit different from the first, as was expected. This is another reason that I didn't want to spend a lot of time to try to ferret then out, by hand. I could have written up a bit of code to find it, but, I think that this list, likely, is the complete non-trivial one for what need. The last set of (four) products were a bit of a bonus. These will, hopefully, serve as a good confirmation for the patterns I've found, so far, in the first set of products.

Anyway, with the second products, 185472 = 672 × 276 = 384 × 483, I got to thinking of the simpler more-ordered magic squares. 672 = 21*32; 276 = 12*23. Conversely, 384 = 12*32; 483 = 21*23. Notice how these numerals involve the digits 12 ---> 21, and, 23 ---> 32. Another way is, 736 = 23*32; 252 = 12*21. I am trying this other way out, first, with my theory. Complicated, but, I think that it has to do with its six-fold symmetry, whereas, the first products, above, had to do with its four-fold symmetry, the way that I expressed the part about 861 x 168 = 492 x 294 = {[40 + (41 + 43) - 44] + 2}*42^[sqrt(4)].

More of the theory, of magic squares, in the first link.

https://mathworld.wolfram.com/MagicSquare.html
The numbers, of the magic squares, are easier to read in the second link.

https://en.wikipedia.org/wiki/Magic_square
You can start to see some of these numbers appearing in the magic squares. The bit of dimensional equation, above, can be rewritten to better show there those numbers of the first products. This is my blueprint for trying to extend these of the second products.

Getting back to the "magic square of the sun". Here is a numerological video of the thing, but, the plain diagram may suffice. All of its rows and columns, and diagonals add to 111, so that six rows, or, six columns, amount to 666.

As well, there is something called a magic hexagon. In the strictly ordered sense, there is only one of these. It's rows and "columns" all and each add to 38 = 1 + 37 ---> 137.

https://mathworld.wolfram.com/MagicHexagon.html
https://en.wikipedia.org/wiki/Magic_hexagon
The second link, of magic hexagons, shows a rather extreme irregular magic hexagon. Its numerals start with -84 and end with 84, and, its sum is zero. I guess that this means that its rows and "columns" all add up to zero.

Note that 84 is just 2*42. -17 is in the center of it. 5*17 is 85 = 84 + 1. You can count down through 42, from 85 to -85, by alternating steps of -9 and -8. 42 is straddled by a -9 and -8. 34, and 51 are multiples of 17. This is like the number 42 centering the number 17. As well, again, it's likely the case that 17 is another form of 11611, to come back to the number 42 also this way. I guess that it's 10^1 + 6 + (1 + 1)^0.

One other magic square of considerable interest is,

When the extra constraint is to display some date, especially a birth date, then such magic squares are called birthday magic square. An early instance of such birthday magic square was created by Srinivasa Ramanujan. He created a 4×4 square in which he entered his date of birth in DD-MM-CC-YY format in the top row and the magic happened with additions and subtractions of numbers in squares. Not only do the rows, columns, and diagonals add up to the same number, but the four corners, the four middle squares (17, 9, 24, 89), the first and last rows two middle numbers (12, 18, 86, 23), and the first and last columns two middle numbers (88, 10, 25, 16) all add up to the sum of 139.

CC stands for century as in the first two digits of the year of your birth. I got 89 for the sum of my such birthday's square. I fancy the 8, and 9 as inverses, in the sense that 2^3 = 8, and, 3^2 = 9. 3^4, and, 4^3, show the same thing, but with the squares of 8, and 9.