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== Other representations == [[File:Šachovnice.jpg|thumb|right|Illustration from the book ''[[Through the Looking-Glass]]'' by [[Lewis Carroll]], where the chessboard is represented by fields and brooks that Alice must traverse]] The game of chess has been [[Chess in the arts|represented in the arts]] since its creation. Chess sets usually had considerable artistic value; they were made of noble materials, such as ebony and ivory, and in large sizes. Many of the pieces in these sets were offered to churches as relics. The book [[Liber miraculorum sancte Fidis]] tells a story in which a nobleman, after miraculously escaping from prison, is forced to carry a chessboard until a sanctuary as gesture of gratitude. However, more frequently, there are stories in which the chessboard is used as a weapon. The French tale of [[Ogier the Dane]] reports how the son of [[Charlemagne]] brutally kills one of Ogier's sons with a chessboard after losing a match, although there is no evidence confirming the veracity of the story.<ref>Yalom 2004, pp. 84–85.</ref> In 1250, a sermon called ''Quaedam moralitas de scaccario per Innocentium papum'' (The Innocent Morality) showed the world as being represented by a chessboard. The white and black squares represented the two conditions of life and death or praise and censure; over these, the pieces, representing humanity, would confront each other in the adversities of the game, which symbolised life. Due to its simple geometry, the chessboard is often used in mathematical puzzles or problems unrelated to chess, such as the [[wheat and chessboard problem]] and the [[mutilated chessboard problem]]. The term ''infinite chessboard'' is sometimes used to refer to a grid.
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