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Cylinder chess

Cylinder chess (or cylindrical chess) is a chess variant. The game is played as if the board were a cylinder, with the left side of the board joined to the right side. Cylinder chess is one of six chess variants described by the Arabic historian Ali al-Masudi in 947.[1][a]

Cylindrical chessboard

The cylindrical board is used in some chess problems.

Rules and gameplay edit

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The diagram shows possible moves of a bishop on c1 and a knight on h2 on a cylindrical board. The bishop cannot move through the board's upper and lower sides.

The game is played as if the left and right sides of the board are connected. When a piece goes off one edge of the board, it reappears from the other edge.[2] For example, it is legal to move a rook from a3 to h3, even if there is a piece on b3, since the rook can move left from a3; a bishop on c1 can move to h4 by going from c1 to a3, and then going up and left from a3 to h4; if White has a pawn on a5, Black has a pawn on h7 and Black plays 1...h7–h5, White can capture the black pawn en passant with 2.axh6; and so on.

Castling can be handled in one of three ways:

  • Castling is allowed, but not with a rook over the board edge. This maintains the options for castling available in standard chess.
  • Castling is not allowed. Proponents of this convention argue that cylinder chess nullifies the purpose of castling, as all files are equally dangerous on a cylindrical board.
  • In addition to normal castling, castling with a rook over the board edge is also allowed. This is done by moving the king two squares toward the rook and moving the rook to the square that the king passed over (in the same manner as usual).

Some cylinder chess problems allow null moves, or moves such that every piece stays in the same place, as long as any piece performing such a move travels a nonzero distance by crossing over the edge of the board.[3] However, most actual games of cylinder chess disallow null moves.

Strategy edit

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Position after 1.b3 e5: The diagram shows the weakness of the move 1...e5 by Black, as the c1-bishop has been allowed access to the edge of the board by way of the movement of the b3-pawn. This principle applies to an easy check on a player's king by an enemy bishop in the same manner.

In cylinder chess, the traditional hierarchy of piece strengths is changed, with bishops being significantly stronger than knights. The knight and rook do not gain much more power from the cylindrical board, but bishops and especially queens become stronger. The center squares are unimportant to control, and moving a pawn to the center in the opening is very weakening because it opens the player's center to attacks by the opponent's bishops, which have been allowed faster access to the flank squares.

Cylinder chess also has different endgames than standard chess. For example, unlike in standard chess, a king and rook cannot force checkmate against a lone king on the cylindrical board.

Piece values according to H. G. Muller are as follows:[4]

Symbol          
Piece pawn knight bishop rook queen
Value 1 3+14 4 5 11

In chess problems edit

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White to play and mate in two

The diagram shows a cylinder chess problem that allows null moves. The move 1.Rg4, threatening 2.Rg5#, fails due to 1...Ka5. The solution is to put Black in zugzwang by playing 1.Rh4, moving the rook on h4 to its own square; then, after either 1...Ka5 or 1...c4, 2.R4h5# is mate.

Related variants edit

 
Toroidal chessboard
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Toroidal chess starting position

In horizontal cylinder chess, the first and last ranks of the chessboard are connected. In toroidal chess, the board has the form of a torus. A toroidal board can be formed by connecting the first and last ranks of the cylindrical board.

Horizontal cylinder chess and toroidal chess, unlike cylinder chess, cannot use the starting position of standard chess; otherwise, both kings will begin the game in checkmate. The adjacent diagram shows the starting position for toroidal chess on a standard board. In the starting setup, the rooks protect each other while being threatened by the opponent's rooks. They are supported by the knights on the sides of the board, making their positions more defensible.

On the toroidal board, checkmate is impossible with king and queen versus king,[5] but it is possible with king and two rooks versus king.

Notes edit

  1. ^ Other described variants include astrological chess and circular chess.

References edit

  1. ^ by Bill Wall.
  2. ^ D.B. Pritchard (1994). The Encyclopedia of Chess Variants (p. 79). ISBN 0-9524142-0-1.
  3. ^ From A. W. Mongredien, Bulletin de la FFE, No. 19, 1926
  4. ^ "Cylinder Chess".
  5. ^ Е.Я. Гик, Шахматы и математика, Наука, Москва, 1983 (in Russian)

External links edit

  • by George Jelliss, Variant Chess, Volume 3, Issue 22, Winter 1996–67, pages 32–33.
  • CylinderChess.com Web app for playing cylinder chess online (choice of 3D cylinder or square board), by Tobias Loader
  • Cylindrical chess by Ron Porter and Cliff Lundberg.
  • BrainKing.com Internet server for playing Cylinder chess and many other chess variants
  • Torus Chess by Karl Fischer
  • Cylinder Chess a simple program by Ed Friedlander (Java)

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Cylinder chess or cylindrical chess is a chess variant The game is played as if the board were a cylinder with the left side of the board joined to the right side Cylinder chess is one of six chess variants described by the Arabic historian Ali al Masudi in 947 1 a Cylindrical chessboard The cylindrical board is used in some chess problems Contents 1 Rules and gameplay 2 Strategy 3 In chess problems 4 Related variants 5 Notes 6 References 7 External linksThis article uses algebraic notation to describe chess moves Rules and gameplay editabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghThe diagram shows possible moves of a bishop on c1 and a knight on h2 on a cylindrical board The bishop cannot move through the board s upper and lower sides The game is played as if the left and right sides of the board are connected When a piece goes off one edge of the board it reappears from the other edge 2 For example it is legal to move a rook from a3 to h3 even if there is a piece on b3 since the rook can move left from a3 a bishop on c1 can move to h4 by going from c1 to a3 and then going up and left from a3 to h4 if White has a pawn on a5 Black has a pawn on h7 and Black plays 1 h7 h5 White can capture the black pawn en passant with 2 axh6 and so on Castling can be handled in one of three ways Castling is allowed but not with a rook over the board edge This maintains the options for castling available in standard chess Castling is not allowed Proponents of this convention argue that cylinder chess nullifies the purpose of castling as all files are equally dangerous on a cylindrical board In addition to normal castling castling with a rook over the board edge is also allowed This is done by moving the king two squares toward the rook and moving the rook to the square that the king passed over in the same manner as usual Some cylinder chess problems allow null moves or moves such that every piece stays in the same place as long as any piece performing such a move travels a nonzero distance by crossing over the edge of the board 3 However most actual games of cylinder chess disallow null moves Strategy editabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 1 b3 e5 The diagram shows the weakness of the move 1 e5 by Black as the c1 bishop has been allowed access to the edge of the board by way of the movement of the b3 pawn This principle applies to an easy check on a player s king by an enemy bishop in the same manner In cylinder chess the traditional hierarchy of piece strengths is changed with bishops being significantly stronger than knights The knight and rook do not gain much more power from the cylindrical board but bishops and especially queens become stronger The center squares are unimportant to control and moving a pawn to the center in the opening is very weakening because it opens the player s center to attacks by the opponent s bishops which have been allowed faster access to the flank squares Cylinder chess also has different endgames than standard chess For example unlike in standard chess a king and rook cannot force checkmate against a lone king on the cylindrical board Piece values according to H G Muller are as follows 4 Symbol nbsp nbsp nbsp nbsp nbsp Piece pawn knight bishop rook queen Value 1 3 1 4 4 5 11In chess problems editabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite to play and mate in two The diagram shows a cylinder chess problem that allows null moves The move 1 Rg4 threatening 2 Rg5 fails due to 1 Ka5 The solution is to put Black in zugzwang by playing 1 Rh4 moving the rook on h4 to its own square then after either 1 Ka5 or 1 c4 2 R4h5 is mate Related variants edit nbsp Toroidal chessboard abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghToroidal chess starting position In horizontal cylinder chess the first and last ranks of the chessboard are connected In toroidal chess the board has the form of a torus A toroidal board can be formed by connecting the first and last ranks of the cylindrical board Horizontal cylinder chess and toroidal chess unlike cylinder chess cannot use the starting position of standard chess otherwise both kings will begin the game in checkmate The adjacent diagram shows the starting position for toroidal chess on a standard board In the starting setup the rooks protect each other while being threatened by the opponent s rooks They are supported by the knights on the sides of the board making their positions more defensible On the toroidal board checkmate is impossible with king and queen versus king 5 but it is possible with king and two rooks versus king Notes edit Other described variants include astrological chess and circular chess References edit Earliest chess books and references by Bill Wall D B Pritchard 1994 The Encyclopedia of Chess Variants p 79 ISBN 0 9524142 0 1 From A W Mongredien Bulletin de la FFE No 19 1926 Cylinder Chess E Ya Gik Shahmaty i matematika Nauka Moskva 1983 in Russian External links editCylinder Chess by George Jelliss Variant Chess Volume 3 Issue 22 Winter 1996 67 pages 32 33 CylinderChess com Web app for playing cylinder chess online choice of 3D cylinder or square board by Tobias Loader Cylindrical chess by Ron Porter and Cliff Lundberg BrainKing com Internet server for playing Cylinder chess and many other chess variants Torus Chess by Karl Fischer Cylinder Chess a simple program by Ed Friedlander Java Retrieved from https en wikipedia org w index php title Cylinder chess amp oldid 1220863096, wikipedia, wiki, book, books, library,

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