Triangular Chess (game)
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Triangular Chess (game)
Triangular chess is a chess variant for two players invented by George R. Dekle Sr. in 1986. The game is played on a hexagon-shaped gameboard comprising 96 triangular cells. Each player commands a full set of chess pieces in addition to three extra pawns and a unicorn. Triangular chess and its variation tri-chess were included in ''World Game Review'' No. 10 edited by Michael Keller. Game rules The starting setup is as shown. As in chess, White moves first, and the object is checkmate. Other standard conventions apply as well, including castling, the pawn's initial two-step move, the ''en passant'' capture, and promotion at the last . The triangular geometry, however, implies special move patterns for the pieces. Piece moves * A rook moves in a straight line starting through a cell edge. (Three directions are possible.) * A bishop moves in a straight line starting through a cell vertex. (Three directions.) * The queen moves as a rook or bishop. (Six directions.) * The ki ...
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Triangular Chess, Gameboard And Init Config
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted. Types of triangle The terminology for categorizing triangles is more than two thousand years old, having been defined on the very first page of Euclid's Elements. The names used for modern classification are eit ...
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Castling
Castling is a move in chess. It consists of moving the king two squares toward a rook on the same and then moving the rook to the square that the king passed over. Castling is permitted only if neither the king nor the rook has previously moved; the squares between the king and the rook are vacant; and the king does not leave, cross over, or finish on a square attacked by an enemy piece. Castling is the only move in chess in which two pieces are moved at once. Castling with the is called ''kingside castling'', and castling with the is called ''queenside castling''. In both algebraic and descriptive notations, castling kingside is written as 0-0 and castling queenside as 0-0-0. Castling originates from the ''king's leap'', a two-square king move added to European chess between the 14th and 15th centuries, and took on its present form in the 17th century. Local variations in castling rules were common, however, persisting in Italy until the late 19th century. Castling does no ...
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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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Shogi Variant
A shogi variant is a game related to or derived from shogi (Japanese chess). Many shogi variants have been developed over the centuries, ranging from some of the largest chess-type games ever played to some of the smallest. A few of these variants are still regularly played, though none are as popular as shogi itself. The drop rule, often considered the most notable feature of shogi, is absent from most shogi variants, which therefore play more like other forms of chess, with the board becoming less crowded as pieces are exchanged. This is especially true for variants larger than shogi itself − in fact, the largest well-known variant that features the drop rule is the 11×11 game wa shogi. Predecessors of modern shogi Some form of chess had almost certainly reached Japan by the 9th century, if not earlier, but the earliest surviving Japanese description of the rules of chess dates from the early 12th century, during the Heian period. Unfortunately, this description does not ...
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Trishogi
Trishogi is a shogi variant for two players created by George R. Dekle Sr. in 1987. The gameboard comprises 9×10 interlocking triangular cells. The game is in all respects the same as shogi, except that piece moves have been transfigured for the triangular board-cell geometry. Trishogi was included in ''World Game Review'' No. 10 edited by Michael Keller. Game rules Trishogi has the same types and numbers of pieces as shogi, and all normal shogi rules apply, including initial setup (see diagram), drops, promotion, check, and checkmate. As in shogi, pieces capture the same as they move. But the triangular geometry creates special move patterns for the pieces. Piece moves The diagrams show how the unpromoted pieces move. As in shogi, a dragon king (promoted rook) moves as a rook and as a king. A dragon horse (promoted bishop) moves as a bishop and king. See also * Shogi variants * Also by George Dekle: ** Hexshogi – a variant with hexagonal cells ** Masonic Shogi ...
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En Passant
''En passant'' (, "in passing") is a method of capturing in chess that occurs when a pawn captures a horizontally adjacent enemy pawn that has just made an initial two-square advance. The capturing pawn moves to the square that the enemy pawn passed over, as if the enemy pawn had advanced only one square. The rule ensures that a pawn cannot use its two-square move to safely skip past an enemy pawn. Capturing ''en passant'' is permitted only on the turn immediately after the two-square advance; it cannot be done on a later turn. The capturing move is sometimes notated by appending the abbreviation e.p. Rules The conditions for a pawn to capture an enemy pawn ''en passant'' are as follows: * the enemy pawn advanced two squares on the previous move; * the capturing pawn attacks the square that the enemy pawn passed over. If these conditions are met, the capturing pawn can move diagonally forward to the square that the enemy pawn passed, capturing the enemy pawn as if it h ...
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Orthogonality
In mathematics, orthogonality is the generalization of the geometric notion of '' perpendicularity''. By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in other fields including art and chemistry. Etymology The word comes from the Ancient Greek ('), meaning "upright", and ('), meaning "angle". The Ancient Greek (') and Classical Latin ' originally denoted a rectangle. Later, they came to mean a right triangle. In the 12th century, the post-classical Latin word ''orthogonalis'' came to mean a right angle or something related to a right angle. Mathematics Physics * In optics, polarization states are said to be orthogonal when they propagate independently of each other, as in vertical and horizontal linear polarization or right- and left-handed circular polarization. * In special relativity, a time axis determined by a rapidity of motion is hyperbolic-orthogonal to a space axis o ...
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Vertex (geometry)
In geometry, a vertex (in plural form: vertices or vertexes) is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. Definition Of an angle The ''vertex'' of an angle is the point where two rays begin or meet, where two line segments join or meet, where two lines intersect (cross), or any appropriate combination of rays, segments, and lines that result in two straight "sides" meeting at one place. :(3 vols.): (vol. 1), (vol. 2), (vol. 3). Of a polytope A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object. In a polygon, a vertex is called " convex" if the internal angle of the polygon (i.e., the angle formed by the two edges at the vertex with the polygon inside the angle) is less than π radians (180°, two right angles); ...
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Promotion (chess)
In chess, promotion is the replacement of a pawn with a new piece when the pawn is moved to its last . The player replaces the pawn immediately with a queen, rook, bishop, or knight of the same . The new piece does not have to be a previously captured piece. Promotion is mandatory; the pawn cannot remain as a pawn. Promotion to a queen is known as queening; promotion to any other piece is known as underpromotion. Promotion is almost always to a queen, as it is the most powerful piece. Underpromotion might be done for various reasons, such as to avoid stalemate or for tactical reasons related to the knight's unique movement pattern. Promotion or the threat of it often decides the result in an endgame. Rules When a pawn is promoted, it is removed from the board, and the new piece is placed on the square of promotion. A piece may be promoted to regardless of whether it has been captured. Consequently, a player might have two or more queens, or three or more rooks, bishops, or k ...
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En Passant
''En passant'' (, "in passing") is a method of capturing in chess that occurs when a pawn captures a horizontally adjacent enemy pawn that has just made an initial two-square advance. The capturing pawn moves to the square that the enemy pawn passed over, as if the enemy pawn had advanced only one square. The rule ensures that a pawn cannot use its two-square move to safely skip past an enemy pawn. Capturing ''en passant'' is permitted only on the turn immediately after the two-square advance; it cannot be done on a later turn. The capturing move is sometimes notated by appending the abbreviation e.p. Rules The conditions for a pawn to capture an enemy pawn ''en passant'' are as follows: * the enemy pawn advanced two squares on the previous move; * the capturing pawn attacks the square that the enemy pawn passed over. If these conditions are met, the capturing pawn can move diagonally forward to the square that the enemy pawn passed, capturing the enemy pawn as if it h ...
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