Takeshi Murakami
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Takeshi Murakami
Reversi is a strategy board game for two players, played on an 8×8 uncheckered board. It was invented in 1883. Othello, a variant with a fixed initial setup of the board, was patented in 1971. Basics There are sixty-four identical game pieces called ''disks'', which are light on one side and dark on the other. Players take turns placing disks on the board with their assigned color facing up. During a play, any disks of the opponent's color that are in a straight line and bounded by the disk just placed and another disk of the current player's color are turned over to the current player's color. The objective of the game is to have the majority of disks turned to display one's color when the last playable empty square is filled. History Original version Englishmen Lewis Waterman and John W. Mollett both claim to have invented the game of Reversi in 1883, each denouncing the other as a fraud. The game gained considerable popularity in England at the end of the 19th centur ...
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Board Game
Board games are tabletop games that typically use . These pieces are moved or placed on a pre-marked board (playing surface) and often include elements of table, card, role-playing, and miniatures games as well. Many board games feature a competition between two or more players. To show a few examples: in checkers (British English name 'draughts'), a player wins by capturing all opposing pieces, while Eurogames often end with a calculation of final scores. '' Pandemic'' is a cooperative game where players all win or lose as a team, and peg solitaire is a puzzle for one person. There are many varieties of board games. Their representation of real-life situations can range from having no inherent theme, such as checkers, to having a specific theme and narrative, such as ''Cluedo''. Rules can range from the very simple, such as in snakes and ladders; to deeply complex, as in ''Advanced Squad Leader''. Play components now often include custom figures or shaped counters, and distin ...
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Moors
The term Moor, derived from the ancient Mauri, is an exonym first used by Christian Europeans to designate the Muslim inhabitants of the Maghreb, the Iberian Peninsula, Sicily and Malta during the Middle Ages. Moors are not a distinct or self-defined people. The 1911 ''Encyclopædia Britannica'' observed that the term had "no real ethnological value." Europeans of the Middle Ages and the early modern period variously applied the name to Arabs and North African Berbers, as well as Muslim Europeans. The term has also been used in Europe in a broader, somewhat derogatory sense to refer to Muslims in general,Menocal, María Rosa (2002). ''Ornament of the World: How Muslims, Jews and Christians Created a Culture of Tolerance in Medieval Spain''. Little, Brown, & Co. , p. 241 especially those of Arab or Berber descent, whether living in Spain or North Africa. During the colonial era, the Portuguese introduced the names " Ceylon Moors" and "Indian Moors" in South Asia and Sri ...
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Generalized Game
In computational complexity theory, a generalized game is a game or puzzle that has been generalized so that it can be played on a board or grid of any size. For example, generalized chess is the game of chess played on an n\times n board, with 2n pieces on each side. Generalized Sudoku includes Sudokus constructed on an n\times n grid. Complexity theory studies the asymptotic difficulty of problems, so generalizations of games are needed, as games on a fixed size of board are finite problems. For many generalized games which last for a number of moves polynomial in the size of the board, the problem of determining if there is a win for the first player in a given position is PSPACE-complete. Generalized hex and reversi are PSPACE-complete. For many generalized games which may last for a number of moves exponential in the size of the board, the problem of determining if there is a win for the first player in a given position is EXPTIME-complete. Generalized chess, go (with Japa ...
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Solved Game
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly. This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance. Overview A two-player game can be solved on several levels: ;Ultra-weak : Prove whether the first player will win, lose or draw from the initial position, given perfect play on both sides. This can be a non-constructive proof (possibly involving a strategy-stealing argument) that need not actually determine any moves of the perfect play. ;Weak : Provide an algorithm that secures a win for one player, or a draw for either, against any possible moves by the opponent, from the beginning of the game. ;Strong : Provide an algorithm that can produce perfect moves from any position, even if mistakes have already been made on one or b ...
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Game-tree Complexity
Combinatorial game theory has several ways of measuring game complexity. This article describes five of them: state-space complexity, game tree size, decision complexity, game-tree complexity, and computational complexity. Measures of game complexity State-space complexity The state-space complexity of a game is the number of legal game positions reachable from the initial position of the game. When this is too hard to calculate, an upper bound can often be computed by also counting (some) illegal positions, meaning positions that can never arise in the course of a game. Game tree size The game tree size is the total number of possible games that can be played: the number of leaf nodes in the game tree rooted at the game's initial position. The game tree is typically vastly larger than the state space because the same positions can occur in many games by making moves in a different order (for example, in a tic-tac-toe game with two X and one O on the board, this position co ...
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Takeshi Murakami
Reversi is a strategy board game for two players, played on an 8×8 uncheckered board. It was invented in 1883. Othello, a variant with a fixed initial setup of the board, was patented in 1971. Basics There are sixty-four identical game pieces called ''disks'', which are light on one side and dark on the other. Players take turns placing disks on the board with their assigned color facing up. During a play, any disks of the opponent's color that are in a straight line and bounded by the disk just placed and another disk of the current player's color are turned over to the current player's color. The objective of the game is to have the majority of disks turned to display one's color when the last playable empty square is filled. History Original version Englishmen Lewis Waterman and John W. Mollett both claim to have invented the game of Reversi in 1883, each denouncing the other as a fraud. The game gained considerable popularity in England at the end of the 19th centur ...
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Logistello
Logistello is a computer program that plays the game Othello, also known as Reversi. Logistello was written by Michael Buro and is regarded as a strong player, having beaten the human world champion Takeshi Murakami six games to none in 1997 — the best Othello programs are now much stronger than any human player. Logistello's evaluation function is based on disc patterns and features over a million numerical parameters which were tuned using linear regression. External links * {{official website, https://skatgame.net/mburo/log.html Game artificial intelligence Reversi software ...
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Blindfold Chess
Blindfold chess, also known as ''sans voir'', is a form of chess play wherein the players do not see the positions of the pieces and do not touch them. This forces players to maintain a mental model of the positions of the pieces. Moves are communicated via a recognized chess notation. Blindfold chess was considered miraculous for centuries but now there is greater recognition of people who can keep track of more than one simultaneous blindfolded game. In simultaneous blindfold play, an intermediary usually relays the moves between the players. Early history Blindfold chess was first played quite early on in the history of chess, with perhaps the first game being played by Sa'id bin Jubair (665–714) in the Middle East. In Europe, playing chess blindfolded became popular as a means of handicapping a chess master when facing a weaker opponent, or of simply displaying one's superior abilities. H. J. R. Murray in his book ''A History of Chess'' recorded another type of ...
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Computer Othello
Computer Othello refers to computer architecture encompassing computer hardware and computer software capable of playing the game of Othello. It is also known as Reversi for Microsoft Windows ( 1.0- XP, 1985-2005) and Classic Mac OS (since 1984). Availability There are many Othello programs such as NTest, Saio, Edax, Cassio, Pointy Stone, Herakles, WZebra, and Logistello that can be downloaded from the Internet for free. These programs, when run on any up-to-date computer, can play games in which the best human players are easily defeated. This is because although the consequences of moves are predictable for both computers and humans, computers are better at envisaging them.Dcs.gla.ac.uk


Search techniques

Computer Othello programs search for any possible legal moves using a ...
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Bye (sports)
In sport, a bye is the preferential status of a player or team that is automatically advanced to the next round of a tournament, without having to play an opponent in an early round. In knockout (elimination) tournaments they can be granted either to reward the highest ranked participant(s) or assigned randomly, to make a working bracket if the number of participants is not a power of two (e.g. 16 or 32). In round-robin tournaments, usually one competitor gets a bye in each round when there are an odd number of competitors, as it is impossible for all competitors to play in the same round. However, over the whole tournament, each plays the same number of games as well as sitting out for the same number of rounds. The "Berger Tables" used by FIDE for chess tournaments, provide pairings for even numbered pools and simply state that "Where there is an odd number of players, the highest number counts as a bye." Similar to the round-robin context, in league sports with weekly reg ...
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Graham Brightwell
Graham Brightwell is a British mathematician working in the field of discrete mathematics. Currently a professor at the London School of Economics, he has published nearly 100 papers in pure mathematics, including over a dozen with Béla Bollobás. His research interests include random combinatorial structures; partially ordered sets; algorithms; random graphs; discrete mathematics and graph theory. (Bollobás supervised his PhD on "Linear Extensions of Partially Ordered Sets" at Cambridge, awarded 1988.) Othello Brightwell started playing Othello in 1985, after finding himself sharing an apartment with fellow mathematician and Othello player Imre Leader Imre Bennett Leader is a British Othello player, employed as a professor of pure mathematics at Cambridge University. As a child, he was a pupil at the private St Paul's School and won a silver medal on the British team at the 1981 Internatio .... He has finished three times as runner-up in the World Othello Champion ...
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Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, t ...
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