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Relativistic Chess. Squares attacked by the opponent are considered not to exist. (8x8, Cells: 64)
Carlos Cetina wrote on 2012-07-24 UTC
Quoting from my comment posted on July 20:

"We should view this matter like something that happens at two different levels or planes of reality: the first would be the "players level", a virtual field; the second, the true reality, that we all see as viewers, as spectators.

"Let's call them

"VP = virtual plane
"RP = real plane

"At RP the board is physically existent and formed by 64 squares that always are existent.

"At VP both players see two different things. Red sees that he is checking White's king; White sees that the pawn is not checking his king.

"Let's suppose h6 is empty, that is, White's king is not checked by any other piece.

"White's turn to move. Since he sees his king is not checked, he makes any normal move.

"Then comes Red's turn to move. Although he sees that his pawn is checking the king, he cannot make anything because in this variant the object of the game is to checkmate the advesary king, not to capture it; Red cannot force White to move his king from f3!

"What Red must make is with the participation of his remain pieces to put White's king in a position such that from White's viewpoint White's king be checkmated, such that White admits that condition."

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