Perhaps obvious and common knowledge, yet apparent to myself only after some thought, is the distribution of values in a successful game of Sudoku. Using a Sudoku game board of uniform squares arranged with symmetry, the xy origin is established at the center of cell r5 c5. When wholly populated, each cell’s center is assigned a mass of magnitude equal to its respective numeric value. The resulting center of gravity for the matrix is found to be coincident with the origin (Fig. 1). This from: Σi=1nmixiΣi=1nmi,Σi=1nmiyiΣi=1nmi\frac{\Sigma_{i=1}^n{m}_i{x}_i}{\Sigma_{i=1}^n{m}_i},\frac{\Sigma_{i=1}^n{m}_i{y}_i}{\Sigma_{i=1}^n{m}_i} The same methodology can be applied to each 3 x 3 sub grid finding...
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