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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SÁHKKU
Sáhkku is a board game of the Sami people. The game is traditional among the North Sámi, Skolt Sámi, Inari Sámi and Lule Sámi but may also have been p...
Sáhkku is a board game of the Sami people. The game is traditional among the North Sámi, Skolt Sámi, Inari Sámi and Lule Sámi but may also have been played in other parts of Sápmi.
Sáhkku is a running-fight game, which means that players move their pieces along a track with the goal of eliminating the other players' pieces. Many different variants of sáhkku have been played in different parts of Sápmi. The oral transfer of the sáhkku rules between generations was largely broken off during the 1900s (see Sáhkku today). A few of the local variants have survived into our time, other local variants have been reconstructed based on a combination of memories and written sources, and for some places only fragments of the local rules are known from old documents.
A sáhkku board (sáhkkufiellu, bircunfiellu or sáhkkulávdi) can traditionally be designed in a number of different ways. At its simplest, a sáhkku board has three parallel rows of short lines, and the pieces are placed on these lines. The lines are called sárgat (one sárggis) in Sámi.
It is common to draw the short lines as vertically connected to each other, so that the board appears to consist of just one row of very long lines, but the game is still played as if these were three separate rows of short lines. Such boards often also have three horizontal lines intersecting the vertical lines in order to illustrate that the lines are still in practice divided into three parallel rows. Some boards feature only a central horizontal line crossing the connected vertical lines, but the game is still played as if there were three rows of short lines.
A special type of sáhkku board is the so-called Návuotna board which has three rows of squares (ruvttat, lanjat) instead of lines.
The central line/square of the middle row, sometimes referred to as "the Castle", is indicated by a sáhkku-symbol ("X"), sun symbol, or other ornament.
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