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Explaining the relationship between geometry in chess...

Chess Kim

on 28 May 2013

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Transcript of Chess

Chess and some geometry { you didn't know } { the real world } relevance importance ourselves the board how to play pieces { chess } ~ the board is an overall geometric system consisting of squares inside a square
~ dimensions: 8 squares * 8 squares, 64 total
~ longitude labeled with letters A-G
~ latitude labeled with numbers 1-8
~ alternating squares (black & white, glass & frosted)
~ set up: white squares in top left and bottom right corners * white pieces always move first
* after the white piece moves from its original starting position, the black is allowed to move
* turns continue in an alternating pattern
* the object of the game is to trap and "checkmate" the king
* "check" is considered the warning when a king is in danger but can still escape or be protected by another piece or the endangering piece can be eliminated How many combinations can you make in the first moves? (once white, once black) The longest chess game theoretically possible requires 5,949 moves! The number of possible unique chess games is much greater than the number of electrons in the universe From the starting position:
* There are 8 different ways to "check" in two moves
* 355 different ways to Checkmate in three moves * use logic & observation by using geometry and general foreshadowing to win
* fun way to use logic and observation
* both coordination and simple shapes are used; these are everyday skills!
* plus it can sharpen player's concentration and focus skills for long periods of time Chess may be just a game, but it uses both problem solving and pattern recognition, two things that are used often in geometry. Both a fun and educational game, chess is played all around the world by people of all ages. Why would we bother telling you about all this? What is the point of knowing everything 'chess'?

1) We decided that it is mathematically under appreciated by too many players
2) Its a riveting and intriguing game! (to play, not always to watch)
3) It is most fascinating how somebody long ago decided to use their inner mathematical genius to entertain people and improve their strategical skills in a game of 'war' an overview { bibliography } fun facts our lives pawn

* can only move one square forward
* can only defeat pieces on a forward diagonal square (otherwise, cannot change vertical lane of movement)
* makes of entire front line in beginning lineup; the only piece besides the knight to make a first move king

* can only move one space at a time, any direction (staying on the squares, of course)
* starting position is on opposite colored square as queen
* stands between queen and the bishop
* object of the game
* cannot be moved into check or checkmate by owner queen

* can move in any direction
* quantity of movement only restricted by other pieces
* starting position takes color of the square congruent to the color of the piece
* stands between king and bishop bishop

* slides on the slope +-1 to any edge of the board, any number of spaces until it meets an obstacle or the edge of the board
* only travels on the same colored squares the whole game
* stands between either king/queen and knight knight

* moves in a "L" shape; transitions (x+3)(y+1) or (x-3)(y-1)
* stands between bishop and rook
* the only piece that can jump over other pieces; defeats the piece it lands on, those on its movement path not affected
* the only "royal" piece able to make a first move rook

* slides on any axis perpendicular to the edge of the board
* starts between left/right edge and the knight
* is used in a strategical move called a "castle" * (x,y) is the coordinate of the piece at any given time
* generally x represents the letters A-G and y represents the numbered position 1-8 400 Chess King. Digital image. Photo Dictionary. Advameg Inc. Web. 24 May 2013. <http://www.photo-dictionary.com/photofiles/list/5568/7291chess_king.jpg>.

"The Chess Store Rules of Chess." Rules of Chess. N.p., n.d. Web. 23 May 2013. <http://www.thechessstore.com/c=bdW0vE9Zfz3Wk8HLk2feB3NGz/category/rulesofchess/>.

Digital image. Chesscentral.com. N.p., n.d. Web. 23 May 2013. <http://www.chesscentral.com/v/vspfiles/assets/images/assets/chess_board_blank.gif>.

Digital image. N.p., n.d. Web. 23 May 2013. <http://2.bp.blogspot.com/_F6xR_EaigH8/TVGvfmd8AkI/AAAAAAAAAEU/IIKZftpN8uE/s1600/Glass_Chess_Pieces_on_a_Frosted_Glass_Chess_Board.jpg>.

Digital image. Thechessstore.com. N.p., n.d. Web. 23 May 2013. <http://static---thechessstore.app-hosted.com/media/img/thechessstore/Bffffff/layoutwithpiecelabels.jpg>.

"The Geometry of the Chess Board." Chessguru.net. N.p., n.d. Web. <http://www.chessguru.net/get_better/chess_board_geometry/>.

Markushin, Yury. "40 Facts About Chess Most People Don't Know." 40 Facts About Chess Most People Don't Know. The Chess World, 16 Nov. 2011. Web. 23 May 2013. <http://www.thechessworld.com/learn-chess/18-general-information/185-40-facts-about-chess-most-people-dont-know>.

Artise, John. "Chess and Education." Chess and Education. N.p., n.d. Web. 23 May 2013.
"Edutech Chess: Why Chess?" Edutech Chess: Why Chess? N.p., n.d. Web. 23 May 2013. The value of pieces have to do with their position- which can be determined with simple mathematical equations, like Pythagorean Theorem.
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