I really appreciate your analysis of the "magic square",I've never thought it this way.
Perhaps we could "squeeze" something out of it if we gather more clues and put them all together.
My point of view about this square is that number 6 is key!
Let me explain,6 is the SQUARE ROOT of 36,which happens to be the total numbers of roulette excluding the zero.
We could make several sub-divisions of the 36 numbers like three dozens or two 18's or four 9's or nine 4's or twelve 3's or eighteen 2's but only six 6's divides perfectly the total of 36.
Also 6 in to square is 36,the position of the numbers in the square has NOT been randomly chosen...
Look at the numbers as 18 pairs,see if you can find the position of each pair which always sums up to 37.
Thirtyseven is the total of the roulette numbers including zero.
37 to 111 is what 2 is to 6,this appears to be a proportion,an analogical measure.
So far,maybe,it doesn't make sense,but if you continue it will...
There are many underlying clues,waiting to be discovered.
I believe the key is to replace the numbers inside the square on their respective positions...
Let's say I'm sitting down at a roulette table and I see on the board 10 and 29 as the last 2 results.
I'm placing number 10 in the place of 1,in the right top corner of the square,then across the square,on its diagonal opposite end I'm placing 27 because 27 is the other half of 10 in order to become 37 (completed)
I'm placing 29 where 31 is inside the square,on the bottom right corner.
On its diagonal opposite end (where 6 is) I'm placing the 8 because 29+8=37.
So now we have 4 numbers at the 4 corners of the square,the next step is to find what connects them,or in other words what's the remaining 4 numbers for each diagonal group of six.
As you may have noticed,111 is the total sum of every line,so in the case of the diagonal 10/27,I must place 4 numbers which in combination with 10 and 27 sum up to 111,but also those 4 numbers are 2 pairs of 37.
These 4 numbers are: 15/22 and 16/21
Now the same for the second diagonal: 1/36 and 11/26
So now the square looks like this: see attachment #1