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Is Chess a 3 Dimensional Game?

Is Chess a 3 Dimensional Game?

 

Frank Ho

 

Certified teacher at Ho Math and Chess Learning Centre

 

www.mathandchess.com

 

Chess has been thought as a 2 dimensional game. The main reason, I think, it is thought as a 2 dimensional game is because chess is played with two coordinates and each coordinate represents one plane. Because of this reason when an additional chessboard is added on top of chessboard, it is viewed as 3 dimensional game. The three dimensional game has three coordinates and there is a up lift or perhaps downward movement for chess pieces.

The most well know example is the 3-D chess played in the movie Star Trek, where players play chess on 3 layers of chessboard.

Is chess really a 2 dimensional game? The knight actually has to jump over chess pieces (especially in the opening) so the knight’s move is not a two-dimensional move like any other pieces. From this point, we know chess can not strictly be classified as a 2 dimensional game. It really is a 3 dimensional game if the knight has to jump over pieces in opening, at this point it reaches another undefined dimension before it lands on the regular chessboard.

 

On the other hand, if we strictly look at the chess game from algebraic notation’s point of view, then the knight’s “intermediate” move is not recorded. So even though it does reach an “undefined” dimension (nth dimension, where n is undefined), since only two coordinates are used, chess may still be called as a two dimensional game

 

More articles on chess research could be found at www.mathandchess.com.

Frank Ho

Frank Ho, a Canadian certified math teacher, coined the learning centre term Math and Chess and he also founded the world's first math and chess learning centre by creating the world's first math and chess integrated workbooks for elementary students in Vancouver, Canada. He invented Frankho Symbolic Chess Language, intriguing Frankho Chess Maze, and also an unique new chess teaching set. He published math and chess teaching theoretic basis in a Canadian math journal. The USA Illinois research data has shown statistically significant that Ho Math and Chess teaching method increases children's math marks and also improves children's critical thinking skills. The Ho Math and Chess Teaching Set can improve children's memory by playing half-blind chess. More details, please visit www.mathandchess.com.

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