Transcendental Chess of one side can be any of 4²×6!÷2² = 2880. There is no castling. On the first turn a player, instead of making a move, can transpose any of two pieces on the back row. In Chess960 the back rows are mirror images, but in Transcendental Chess the setup of black and white is different 2879 out of every 2880 times (there being a 1–in–2880 chance that both sides will draw the same setup). This can create inequalities in the position. One way to equalize these inequalities is to play a couplet: the players play two games, one each as
Parallel Worlds Chess Parallel Worlds Chess Parallel Worlds Chess is a three-dimensional chess variant invented by R. Wayne Schmittberger in the 1980s. The gamespace comprises three 8×8 chessboards at different levels. Each side commands two full chess armies on levels 1 and 3. Level 2 begins empty and obeys its own move rules. Each player controls two complete chess armies, initially on levels 1 and 3 (see diagram). White moves first. The first player to "capture" either enemy king wins the game. On each turn, a player may move "up to three" of his (pieces and/or pawns). (On the "first" turn, however, White