I'm designing a board game where, as more sections of the board are added, tokens are randomly placed on the new board section. Each board section is 2'×1' (24"×12"), so we using dice to randomise coordinates: 4d6 for the X coordinate and 2d6 for the Y coordinate.
Note that the board is not in a grid; the dice results just correspond to inch measurements on the board.
For some reason this system doesn't seem to work very well, as tokens tend to be grouped together rather than spreading evenly. Are there better ways to distribute the tokens more evenly?