Rules of [M]

[M] has 9 rules and no special conditions.

The app includes a single-player tutorial, and takes about ten minutes to learn.

Rules of [M]

The game has two phases, Placement and Resolution:


  • Players take turns placing numbers in an empty Sudoku.
  • Players receive points equal to the number in the Region where the number is placed. These points are known as Power.
  • If a number border other Regions, horizontally, vertically or diagonally, the player receives 1/2 points in those Regions.  These points are know as Influence.
  • Placement conforms to the rules of Sudoku, so a number may only be placed once in a Region, row or column.
  • When all numbers that can be placed have been placed, Resolution begins.


  • Regions are resolved in order of the greatest disparity. These is the Regions with greatest point difference between players.
  • When a Region is resolved, it is awarded to the dominant player.  This is the player with the most points in that Region.  The dominant player is now said to have control.
  • All opposing number is the Region flip to the dominant player.  If these numbers border other Regions, they switch their Influence. (This can shift the balance of power, and affect the outcome of the game!)
  • When all Regions have been resolved, the player controlling the most regions wins.


[M] Rules (Concise)

The game is played on an an empty Sudoku, typically 9×9 using integers: 0 through 8.  Players take positions on the gameboard by placing integers into empty cells.  The positions grant points equivalent to their integer value in their native Region.  If these positions border adjacent regions, orthogonally or diagonally, the positions grant points equal to 1/2 of the integer’s value in these adjacent Regions. When all positions that can be taken have been taken, or by mutual consent of all players, the gameboard is resolved.

Resolution begins in the Region(s) with the greatest disparity (Δ).  Regions are awarded to the player with most the points in that Region, known as the dominant player. When a Region is awarded, the dominant player is said to gain control, and all opposing integers in the Region flip to that player.  All points derived from the flipped integers are re-assigned to the controlling player, including points applied in adjacent Regions. When all regions have been resolved, the player controlling the most Regions wins.

Read more about [M] extensions at Fundamental Combinatronics.