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Pie Rule
The pie rule, sometimes referred to as the swap rule, is a rule used to balance abstract strategy games where a first-move advantage has been demonstrated. After the first move is made in a game that uses the pie rule, the second player must select one of two options: # ''Letting the move stand.'' The second player remains the second player and moves immediately. # ''Switching places.'' The second player becomes the first-moving player with the move already done by the opponent, and the opponent plays the first move of their new color. Depending on the game, there may be two ways to implement switching places. # ''Switching colors'' means that the players exchange pieces. The player who made the first move becomes the second player and makes the second move on the board. This is demonstrated in the chess diagrams shown here. # ''Switching the first piece'' can occur in games where the board starts empty and the first move consists of placing one piece. Suppose the colors are whit ...
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White And Black In Chess
In chess, the player who moves first is called White and the player who moves second is called Black. Their pieces are the white pieces and the black pieces. The pieces are often not literally white and black, but some other colors, usually a light color and a dark color. The 64 squares of the chessboard, which is colored in a checkered pattern, are likewise the "white squares" or "light squares", and "black squares" or "dark squares"; they are usually of contrasting light and dark color rather than literally white and black. For example, the squares on vinyl boards may be off-white ("buff") and green, while those on wood boards are often light brown and dark brown. white: 1. There are 16 light-colored pieces and 32 squares called white. 2. When capitalized, the word refers to the player of the white pieces. An entry in the ''Glossary of terms in the Laws of Chess'' at the end of the current FIDE laws appears for black, too. In old chess writings, the sides are often called Red ...
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Abstract Strategy Game
Abstract strategy games admit a number of definitions which distinguish these from strategy games in general, mostly involving no or minimal narrative theme, outcomes determined only by player choice (with no randomness), and perfect information. For example, Go is a pure abstract strategy game since it fulfills all three criteria; chess and related games are nearly so but feature a recognizable theme of ancient warfare; and Stratego is borderline since it is deterministic, loosely based on 19th-century Napoleonic warfare, and features concealed information. Definition Combinatorial games have no randomizers such as dice, no simultaneous movement, nor hidden information. Some games that do have these elements are sometimes classified as abstract strategy games. (Games such as '' Continuo'', Octiles, '' Can't Stop'', and Sequence, could be considered abstract strategy games, despite having a luck or bluffing element.) A smaller category of abstract strategy games manages to ...
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Hex (board Game)
Hex is a two player abstract strategy board game in which players attempt to connect opposite sides of a rhombus-shaped board made of hexagonal cells. Hex was invented by mathematician and poet Piet Hein in 1942 and later rediscovered and popularized by John Nash. It is traditionally played on an 11×11 rhombus board, although 13×13 and 19×19 boards are also popular. The board is composed of hexagons called ''cells'' or ''hexes''. Each player is assigned a pair of opposite sides of the board, which they must try to connect by alternately placing a stone of their color onto any empty hex. Once placed, the stones are never moved or removed. A player wins when they successfully connect their sides together through a chain of adjacent stones. Draws are impossible in Hex due to the topology of the game board. Despite the simplicity of its rules, the game has deep strategy and sharp tactics. It also has profound mathematical underpinnings. The game was first published under the ...
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TwixT
TwixT is a two-player Abstract strategy game, strategy board game, an early entrant in the 1960s 3M bookshelf game series. It became one of the most popular and enduring games in the series. It is a connection game where players alternate turns placing pegs and links on a pegboard in an attempt to link their opposite sides. While TwixT itself is simple, the game also requires strategy, so young children can play it, but it also appeals to adults. The game has been discontinued except in Germany and Japan. History TwixT was invented as a paper and pencil game in 1957 by Alex Randolph, a game designer. When Alex was commissioned along with Sid Sackson by 3M in 1961 to start a games division, the game was issued as a boardgame, one of the first 3M bookshelf games. Avalon Hill took over publication in 1976 when 3M sold its game division. Avalon's parent company was acquired by Hasbro in 1998, and the game was discontinued. The game is no longer produced in the United States, ...
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Y (game)
Y is an abstract strategy board game, first described by John Milnor in the early 1950s. The game was independently invented in 1953 by Craige Schensted and Charles Titus. It is a member of the connection game family inhabited by Hex, Havannah, TwixT, and others; it is also an early member in a long line of games Schensted has developed, each game more complex but also more generalized. Gameplay Y is typically played on a triangular board with hexagonal spaces; the "official" Y board has three points with five-connectivity instead of six-connectivity, but it is just as playable on a regular triangle. Schensted and Titus' book '' Mudcrack Y & Poly-Y'' has a large number of boards for play of Y, all hand-drawn; most of them seem irregular but turn out to be topologically identical to a regular Y board. As in most games of this type, one player takes the part of Black and one takes the part of White; they place stones on the board one at a time, neither removing nor moving any p ...
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Mancala
The mancala games are a family of two-player turn-based strategy board games played with small stones, beans, or seeds and rows of holes or pits in the earth, a board or other playing surface. The objective is usually to capture all or some set of the opponent's pieces. Versions of the game date back past the 3rd century and evidence suggests the game existed in Ancient Egypt. It is among the oldest known games to still be widely played today. Names and variants The name is a classification or type of game, rather than any specific game. Some of the most popular mancala games (concerning distribution area, the numbers of players and tournaments, and publications) are: * Ayoayo, played by the Yoruba people in Nigeria; similar to Oware * Alemungula or gebeta (ገበጣ)– played in Sudan and Ethiopia. * Ali Guli Mane or Pallanguzhi – played in Southern India. * Bao la Kiswahili – played in most of East Africa including Kenya, Tanzania, Comoros, Malawi, as we ...
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London
London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a major settlement for two millennia. The City of London, its ancient core and financial centre, was founded by the Romans as '' Londinium'' and retains its medieval boundaries.See also: Independent city § National capitals The City of Westminster, to the west of the City of London, has for centuries hosted the national government and parliament. Since the 19th century, the name "London" has also referred to the metropolis around this core, historically split between the counties of Middlesex, Essex, Surrey, Kent, and Hertfordshire, which largely comprises Greater London, governed by the Greater London Authority.The Greater London Authority consists of the Mayor of London and the London Assembly. The London Mayor is distinguished fr ...
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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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Tablut
Tafl games (pronounced avl also known as hnefatafl games) are a family of ancient Nordic and Celtic strategy board games played on a checkered or latticed gameboard with two armies of uneven numbers. Most probably they are based upon the Roman game Ludus latrunculorum. Names of different variants of Tafl include Hnefatafl, Tablut, Tawlbwrdd, Brandubh, Ard Rí, and Alea Evangelii. Games in the tafl family were played in Norway, Sweden, Denmark, Iceland, Britain, Ireland, and Lapland. Tafl gaming was eventually supplanted by chess in the 12th century, Murray 1951, pp. 56–57. but the tafl variant of the Sami people, tablut, was in play until at least the 18th century. The rules for tablut were written down by the Swedish naturalist Linnaeus in 1732, and these were translated from Latin to English in 1811. All modern tafl games are based on the 1811 translation, which had many errors. New rules were added to amend the issues resulting from these errors, leading to the ...
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Divide And Choose
Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake. The protocol proceeds as follows: one person ("the cutter") cuts the cake into two pieces; the other person ("the chooser") selects one of the pieces; the cutter receives the remaining piece. The procedure has been used since ancient times to divide land, cake and other resources between two parties. Currently, there is an entire field of research, called fair cake-cutting, devoted to various extensions and generalizations of cut-and-choose. History Divide and choose is mentioned in the Bible, in the Book of Genesis (chapter 13). When Abraham and Lot come to the land of Canaan, Abraham suggests that they divide it among them. Then Abraham, coming from the south, divides the land to a "left" (western) ...
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Go (board Game)
Go is an abstract strategy board game for two players in which the aim is to surround more territory than the opponent. The game was invented in China more than 2,500 years ago and is believed to be the oldest board game continuously played to the present day. A 2016 survey by the International Go Federation's 75 member nations found that there are over 46 million people worldwide who know how to play Go and over 20 million current players, the majority of whom live in East Asia. The playing pieces are called stones. One player uses the white stones and the other, black. The players take turns placing the stones on the vacant intersections (''points'') of a board. Once placed on the board, stones may not be moved, but stones are removed from the board if the stone (or group of stones) is surrounded by opposing stones on all orthogonally adjacent points, in which case the stone or group is ''captured''. The game proceeds until neither player wishes to make another move. When ...
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Komidashi
in the game of Go are points added to the score of the player with the white stones as compensation for playing second. The value of Black's first-move advantage is generally considered to be between 5 and 7 points by the end of the game. Standard is 6.5 points under the Japanese and Korean rules; under Chinese, Ing and AGA rules standard is 7.5 points; under New Zealand rules standard is 7 points. typically applies only to games where both players are evenly ranked. In the case of a one-rank difference, the stronger player will typically play with the white stones and players often agree on a simple 0.5-point to break a tie ( ) in favour of white, or no at all. is the more complete Japanese language term. The Chinese term is tiē mù () and the Korean term is deom (). Efforts have been made to determine the value of for boards much smaller than the standard 19x19 grid for go, such as 7x7. When introducing Environmental Go, Elwyn Berlekamp made a broad generalisation of ...
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