Kalah, also called Kalaha or Mancala, is a game in the mancala family invented in the United States by William Julius Champion, Jr. in 1940. This game...
Kalah, also called Kalaha or Mancala, is a game in the mancala family invented in the United States by William Julius Champion, Jr. in 1940. This game is sometimes also called "Kalahari", possibly by false etymology from the Kalahari desert in Namibia.
As the most popular and commercially available variant of mancala in the West, Kalah is also sometimes referred to as Warri or Awari, although those names more properly refer to the game Oware.
For most of its variations, Kalah is a solved game with a first-player win if both players play perfect games. The Pie rule can be used to balance the first-player's advantage.
Mark Rawlings has written a computer program to extensively analyze both the "standard" version of Kalah and the "empty capture" version, which is the primary variant. The analysis was made possible by the creation of the largest endgame databases ever made for Kalah. They include the perfect play result of all 38,902,940,896 positions with 34 or fewer seeds. In 2015, for the first time ever, each of the initial moves for the standard version of Kalah(6,4) and Kalah(6,5) have been quantified: Kalah(6,4) is a proven win by 8 for the first player and Kalah(6,5) is a proven win by 10 for the first player. In addition, Kalah(6,6) with the standard rules has been proven to be at least a win by 4. Further analysis of Kalah(6,6) with the standard rules is ongoing.
For the "empty capture" version, Geoffrey Irving and Jeroen Donkers (2000) proved that Kalah(6,4) is a win by 10 for the first player with perfect play, and Kalah(6,5) is a win by 12 for the first player with perfect play. Anders Carstensen (2011) proved that Kalah(6,6) was a win for the first player. Mark Rawlings (2015) has extended these "empty capture" results by fully quantifying the initial moves for Kalah(6,4), Kalah(6,5), and Kalah(6,6). With searches totaling 106 days and over 55 trillion nodes, he has proven that Kalah(6,6) is a win by 2 for the first player with perfect play. This was a surprising result, given that the "4-seed" and "5-seed" variations are wins by 10 and 12, respectively. Kalah(6,6) is extremely deep and complex when compared to the 4-seed and 5-seed variations, which can now be solved in a fraction of a second and less than a minute, respectively.
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SHOGI
Shogi (将棋, shōgi, English: /ˈʃoʊɡiː/, Japanese: , also known as Japanese chess or the Game of Generals, is a two-player strategy board game that is...
Shogi (将棋, shōgi, English: /ˈʃoʊɡiː/, Japanese: , also known as Japanese chess or the Game of Generals, is a two-player strategy board game that is the Japanese variant of chess. It is the most popular chess variant in Japan. Shōgi means general's (shō 将) board game (gi 棋).
Shogi was the earliest chess variant to allow captured pieces to be returned to the board by the capturing player. This drop rule is speculated to have been invented in the 15th century and possibly connected to the practice of 15th century mercenaries switching loyalties when captured instead of being killed.
The earliest predecessor of the game, chaturanga, originated in India in the 6th century, and the game was likely transmitted to Japan via China or Korea sometime after the Nara period. Shogi in its present form was played as early as the 16th century, while a direct ancestor without the drop rule was recorded from 1210 in a historical document Nichūreki, which is an edited copy of Shōchūreki and Kaichūreki from the late Heian period (c. 1120).
Two players face each other across a board composed of rectangles in a grid of 9 ranks (rows, 段) by 9 files (columns, 筋) yielding an 81 square board. In Japanese they are called Sente 先手 (first player) and Gote 後手 (second player), but in English are conventionally referred to as Black and White, with Black the first player. The board is nearly always rectangular, and the rectangles are undifferentiated by marking or color. Pairs of dots mark the players' promotion zones.
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