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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. The cylindrical board is used in some chess problems. Rules and gameplay 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. 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. The game is sometimes played with the rules of castling changed in one of the following ways: * Castling is not allowed ...
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Cylindrical Chessboard 2
A cylinder (from ) has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology. The shift in the basic meaning—solid versus surface (as in ball and sphere)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces. In the literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the ''right circular cylinder''. Types The definitions and results in this section are taken from the 1913 text ''Plane and Solid Geometry'' by George Wentworth and David Eugene Smith . A ' is a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in a pla ...
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Pawn (chess)
The pawn (♙, ♟) is the most numerous and weakest piece in the game of chess. It may move one vacant square directly forward, it may move two vacant squares directly forward on its first move, and it may capture one square diagonally forward. Each player begins a game with eight pawns, one on each square of their second . The white pawns start on a2 through h2; the black pawns start on a7 through h7. Individual pawns are referred to by the on which they stand. For example, one speaks of "White's f-pawn" or "Black's b-pawn". Alternatively, they can be referred to by the piece which stood on that file at the beginning of the game, e.g. "White's king bishop's pawn" or "Black's queen knight's pawn". It is also common to refer to a rook's pawn, meaning any pawn on the a- or h-files, a knight's pawn (on the b- or g-files), a bishop's pawn (on the c- or f-files), a queen's pawn (on the d-file), a king's pawn (on the e-file), and a central pawn (on the d- or e-files). The pawn histor ...
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Chess Variants
A chess variant is a game related to, derived from, or inspired by chess. Such variants can differ from chess in many different ways. "International" or "Western" chess itself is one of a family of games which have related origins and could be considered variants of each other. Chess developed from ''chaturanga'', from which other members of this family, such as ''shatranj'', Tamerlane chess, ''shogi'', and ''xiangqi'' also evolved. Many chess variants are designed to be played with the equipment of regular chess. Most variants have a similar public-domain status as their parent game, but some have been made into commercial proprietary games. Just as in traditional chess, chess variants can be played over the board, Correspondence chess, by correspondence, or computer chess, by computer. Some internet chess servers facilitate the play of some variants in addition to orthodox chess. In the context of chess problems, chess variants are called heterodox chess or fairy chess. Fairy c ...
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Java (programming Language)
Java is a high-level, class-based, object-oriented programming language that is designed to have as few implementation dependencies as possible. It is a general-purpose programming language intended to let programmers ''write once, run anywhere'' ( WORA), meaning that compiled Java code can run on all platforms that support Java without the need to recompile. Java applications are typically compiled to bytecode that can run on any Java virtual machine (JVM) regardless of the underlying computer architecture. The syntax of Java is similar to C and C++, but has fewer low-level facilities than either of them. The Java runtime provides dynamic capabilities (such as reflection and runtime code modification) that are typically not available in traditional compiled languages. , Java was one of the most popular programming languages in use according to GitHub, particularly for client–server web applications, with a reported 9 million developers. Java was originally develo ...
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Variant Chess
David Brine Pritchard (19 October 1919 – 12 December 2005)''David Pritchard.'' The Times (London). Features; p. 66. 17 January 2006. was a British chess player, chess writer and indoor games consultant. He gained pre-eminence as an indoor games and mind sports consultant, a role that he in effect created. A natural games player, it was to him that inventors or publishers would turn to organise a championship of a new game, write about it or generally promote it. Though nearly a million copies of his chess books have been sold, Pritchard is best known for authoring ''The Encyclopedia of Chess Variants'', in which he describes more than 1400 different variants. In addition to authoring books on games, Pritchard was editor of ''Games & Puzzles'' magazine from 1972 to 1981. He was also a games director for the Mind Sports Organisation, and president of the British Chess Variants Society. Biography During and after the Second World War Pritchard was an RAF pilot who served mainly ...
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Torus
In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a ''toroid'', as in a square toroid. Real-world objects that approximate a torus of revolution include swim rings, inner tubes and ringette rings. Eyeglass lenses that combine spherical and cylindrical correction are toric lenses. A torus should not be confused with a '' solid torus'', which is formed by ...
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Toroidal Chessboard
Toroidal describes something which resembles or relates to a torus or toroid: Mathematics *Torus *Toroid, a surface of revolution which resembles a torus *Toroidal polyhedron *Toroidal coordinates, a three-dimensional orthogonal coordinate system *Toroidal and poloidal coordinates, directions relative to a torus of reference *Toroidal graph, a graph whose vertices can be placed on a torus such that no edges cross *Toroidal grid network, where an n-dimensional grid network is connected circularly in more than one dimension Engineering *Toroidal inductors and transformers, a type of electrical device *Toroidal and poloidal, directions in magnetohydrodynamics *Toroidal engine, an internal combustion engine with pistons that rotate within a toroidal space *Toroidal CVT, a type of continuously variable transmission *Toroidal reflector, a parabolic reflector which has a different focal distance depending on the angle of the mirror Other uses * Toroidal ring model in theoretical physic ...
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Zugzwang
Zugzwang (German for "compulsion to move", ) is a situation found in chess and other turn-based games wherein one player is put at a disadvantage because of their obligation to make a move; a player is said to be "in zugzwang" when any legal move will worsen their position. Although the term is used less precisely in games such as chess, it is used specifically in combinatorial game theory to denote a move that directly changes the outcome of the game from a win to a loss. Putting the opponent in zugzwang is a common way to help the superior side win a game, and in some cases it is necessary in order to make the win possible. The term ''zugzwang'' was used in German chess literature in 1858 or earlier, and the first known use of the term in English was by World Champion Emanuel Lasker in 1905. The concept of zugzwang was known to chess players many centuries before the term was coined, appearing in an endgame study published in 1604 by Alessandro Salvio, one of the first writ ...
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Queen (chess)
The queen (♕, ♛) is the most powerful piece in the game of chess. It can move any number of squares vertically, horizontally or , combining the powers of the rook and bishop. Each player starts the game with one queen, placed in the middle of the first next to the king. Because the queen is the strongest piece, a pawn is promoted to a queen in the vast majority of cases. The predecessor to the queen is the '' ferz'', a weak piece only able to move or capture one step diagonally, originating from the Persian game of shatranj. The modern queen gained its power and its modern move in Spain in the 15th century during Isabella I's reign, perhaps inspired by her great political power. Placement and movement The white queen starts on d1, while the black queen starts on d8. With the chessboard oriented correctly, the white queen starts on a white square and the black queen starts on a black square—thus the mnemonics "queen gets her color", "queen on er wncolor", or "t ...
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Rook (chess)
The rook (; ♖, ♜) is a piece in the game of chess. It may move any number of squares horizontally or vertically without jumping, and it may an enemy piece on its path; additionally, it may participate in castling. Each player starts the game with two rooks, one in each corner on their own side of the board. Formerly, the rook (from Persian رخ ''rokh''/''rukh'', meaning "chariot") was alternatively called the tower, marquess, rector, and comes (count or earl). The term "castle" is considered to be informal, incorrect, or old-fashioned. Placement and movement The white rooks start on squares a1 and h1, while the black rooks start on a8 and h8. The rook moves horizontally or vertically, through any number of unoccupied squares (see diagram). The rook cannot jump over pieces. The rook may capture an enemy piece by moving to the square on which the enemy piece stands, removing it from play. The rook also participates with the king in a special move called castling, wherein it ...
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Bishop (chess)
The bishop (♗, ♝) is a piece in the game of chess. It moves and captures along without jumping over intervening pieces. Each player begins the game with two bishops. One starts between the and the king, the other between the and the queen. The starting squares are c1 and f1 for White's bishops, and c8 and f8 for Black's bishops. Placement and movement The king's bishop is placed between the king and the king's knight, f1 for White and f8 for Black; the queen's bishop is placed between the queen and the queen's knight, c1 for White and c8 for Black. The bishop has no restrictions in distance for each move but is limited to diagonal movement. It cannot jump over other pieces. A bishop captures by occupying the square on which an enemy piece stands. As a consequence of its diagonal movement, each bishop always remains on one square color. Due to this, it is common to refer to a bishop as a light-squared or dark-squared bishop. Comparison – other pieces Versus rook A ...
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Knight (chess)
The knight (♘, ♞) is a piece in the game of chess, represented by a horse's head and neck. It moves two squares vertically and one square horizontally, or two squares horizontally and one square vertically, jumping over other pieces. Each player starts the game with two knights on the b- and g-, each located between a rook and a bishop. Movement Compared to other chess pieces, the knight's movement is unique: it moves two squares vertically and one square horizontally, or two squares horizontally and one square vertically (with both forming the shape of a capital L). When moving, the knight can jump over pieces to reach its destination. Knights capture in the same way, replacing the enemy piece on the square and removing it from the board. A knight can have up to eight available moves at once. Knights and pawns are the only pieces that can be moved in the chess starting position. Value Knights and bishops, also known as , have a value of about three pawns. Bishops util ...
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