KALAH VS TABLUT

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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Tafl games (pronounced ], 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, but the tafl variant of the Sami people, tablut, was in play until at least the 1700s. 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 creation of a modern family of tafl games. In addition, tablut is now also played in accordance with its original rules, which have been retranslated. The term tafl (Old Norse: "table", "board"; pronounced ) is the original Norse name of the game. Hnefatafl (roughly) plausibly realised as ), became the preferred term for the game in Scandinavia by the end of the Viking Age, to distinguish it from other board games, such as Skáktafl (chess), Kvatrutafl (Tables) and Halatafl (Fox games), as these became known. The specific name Hnefatafl possibly arose as meaning "board game of the fist", from hnefi ("fist") + tafl, where "fist" referred to the central king-piece. The precise etymology is not entirely certain but hnefi certainly referred to the king-piece, and several sources refer to Hnefatafl as "King's table". In Anglo-Saxon England, the term tæfl also referred to many board games. It is not known if the Anglo-Saxons had a specific name for the game or if they generically referred to it as tæfl in the way that modern people might refer to "cards". Several games may be confused with tafl games, due to the inclusion of the word tafl in their names or other similarities. Halatafl is the Old Norse name for Fox and Geese, a game dating from at least the 14th century. It is still known and played in Europe. Kvatrutafl is the Old Norse name for Tables (the medieval forerunner of Backgammon). Skáktafl is the Old Norse name for chess. Fidchell or Fithcheall (Modern Irish: Ficheall) was played in Ireland. The Welsh equivalent was Gwyddbwyll and the Breton equivalent Gwezboell; all terms mean "wood-sense". This popular medieval game was played with equal forces on each side and thus was not a tafl variant, but rather may have been the medieval descendant of the Roman game Latrunculi or Ludus latrunculorum.

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