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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SENET
Senet is a board game from ancient Egypt. The earliest representation of senet is dated to c. 2620 BCE from the Mastaba of Hesy-Re, while similar boar...
Senet is a board game from ancient Egypt. The earliest representation of senet is dated to c. 2620 BCE from the Mastaba of Hesy-Re, while similar boards and hieroglyphic signs are found even earlier. The game fell out of use following the Roman periodand its original rules are the subject of conjecture.
Senet is the oldest known board game. Fragmentary boards that could be senet have been found in First Dynasty burials in Egypt, c. 3100 BCE. The first unequivocal painting of this ancient game is from the Third Dynasty tomb of Hesy (c. 2686–2613 BCE). People are depicted playing senet in a painting in the tomb of Rashepes, as well as from other tombs of the Fifth and Sixth Dynasties (c. 2500 BCE). The oldest intact senet boards date to the Middle Kingdom, but graffiti on Fifth and Sixth Dynasty monuments could date as early as the Old Kingdom.
At least by the time of the New Kingdom in Egypt (1550–1077 BCE), senet was conceived as a representation of the journey of the ka (the vital spark) to the afterlife. This connection is made in the Great Game Text, which appears in a number of papyri, as well as the appearance of markings of religious significance on senet boards themselves. The game is also referred to in chapter XVII of the Book of the Dead. A study on a senet board in the Rosicrucian Egyptian Museum, dating back to the early New Kingdom of Egypt, showed the evolution of the game from its secular origins into a more religious artifact.
Senet also was played by people in neighboring cultures, and it probably came to those places through trade relationships between Egyptians and local peoples. It has been found in the Levant at sites such as Arad and Byblos, as well as in Cyprus. Because of the local practice of making games out of stone, there are more senet games that have been found in Cyprus than have been found in Egypt.
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