[yetfzqgx] Chess with more pieces

On a regular chess board, the pieces initially occupy 1/4 of the squares, filling the first 2 ranks for each player.

To maintain the same initial density on a 12x12 board, there should be 3 full ranks of pieces per player.  4 ranks for 16x16 board, perhaps doubled pawns for everyone.  In general n=4k. (Though the pieces need not start on the back ranks.)

However, after exchanges and very low piece density on large boards, I suspect games become very difficult to win.  Shogi (dropping captured pieces as your own) maintains density.