Chess to end the German-speaking dominance in chess; he was undefeated in tournament play for eight years, until 1924. His successor was Russian-French Alexander Alekhine, a strong attacking player who died as the world champion in 1946. He briefly lost the title to Dutch player Max Euwe in 1935 and regained it two years later. Between the world wars, chess was revolutionized by the new theoretical school of so-called hypermodernists like Aron Nimzowitsch and Richard Réti. They advocated controlling the of the board with distant pieces rather than with pawns, thus inviting opponents to occupy the center with pawns, which become
Infinite chess a checkmate. Theorists conceive of infinite chess variations to expand the theory of chess in general, or as a model to study other mathematical, economic, or game-playing strategies. For infinite chess, mathematical investigations have shown that in a general endgame, one player can force a win in a finite number of moves. More specifically, it has been found that infinite chess is decidable; that is, given a position (such as formula_1, and assuming pawns do not promote) of a finite number of chess pieces which are uniformly mobile and with constant and linear freedom, and (for example) White to move,