Trellis is a connection game played on the intersections of a checkered square grid. The problem of deadlocks in connection games on squares grid is resolved by letting each player diagonally connect across the squares which are that player's color.
In the original version of the game the grid was 17x17 (i.e. 16x16 squares) and the game consisted of five sub-games - one for each quadrant of the board and one for the entire board. The object of each sub-game was for White to connect left and right edges and Black to connect top and bottom, and the winner of the game was the player who won the majority of the sub-games. Each player player played one piece a turn.
Later versions of the game were played on a 15x15 board, dropped the sub-game idea, and had players play two pieces per turn in a prescribed relationship to each other.