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===Establishing the degree of symmetry=== Center counter symmetry allows either player to decide whether to switch his king and Withdrawer ("queen") around, and then corner counter symmetry requires each player to decide which of his "rooks" will be turned upside down. (The one that remains upright is the Coordinator, and the one that is turned upside down is the Immobilizer.) After these two kinds of symmetries are determined, White moves first. For purposes of recording the moves that are played in the game, it is sufficient to employ an algebraic form of notation, as in [[chess]], and write the names of the pieces and the squares they are to be placed in. For instance, 1. Kd1 & We1, Ke8 & Wd8 (center counter symmetry), and 2. Ia1 & Ch1, Ih8 & Ca8 (corner counter symmetry). If the symmetry resolution phases that are usually found at the start of the game could somehow be put off for later, then one may readily see how similar they are to the [[castling]] maneuvers in chess. They have the practical function of multiplying the number of games that are possible from the initial starting position.
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