Tsoro

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Tsoro is an ancient two-player mathematical strategy board game that has been played for over a thousand years. It has its roots in Zimbabwe and was first described in literature by J. B. Matthews [1] in 1964. Tsoro belongs to the same class of African strategy board games collectively called Mancala, such as Oware, Bao, and Kalah.

Contents

Kids playing Tsoro in Zimbabwe. Kids playing Tsoro.jpg
Kids playing Tsoro in Zimbabwe.

Tsoro was played by warriors to improve their enemy capturing and raiding strategies in war situations. It was also used to teach young boys and girls how to count. [2] [3] Kings and chiefs often settled disputes by playing Tsoro. Today it is frequently played during leisure times and sometimes competitively. In its original form, the game was played by digging 4 rows and 21 columns of small holes in the ground which were then populated with a pre-determined amount of pebbles or seeds. Each of the two players occupy two rows of holes.

Tsoro has countless variations in terms of the number of holes in each row and the number of seeds in each hole. [4] In the most common implementation in Zimbabwe, the game is played on a board that has 4 rows with each row containing 7 holes. At the start of the game, all holes are filled with the same number of seeds. The players sit face to face and each player occupies the two rows nearest to them.

Below is a representation of a 10-hole Tsoro board with 2 seeds in each hole at the beginning of a game.

     2 2 2 2 2 2 2 2 2 2      2 2 2 2 2 2 2 2 2 2      2 2 2 2 2 2 2 2 2 2      2 2 2 2 2 2 2 2 2 2

Rules

  1. The starting player chooses any hole from his/her set of holes and collects all the seeds in that hole and then distributes them one per hole in the succeeding holes, going in one direction (either clockwise or anti-clockwise). This direction is maintained throughout the game.
  2. If the last seed falls into a non-empty hole in the outer row, the player collects all the seeds in that hole and redistributes them into the succeeding holes.
  3. If the last seed falls into a hole in the inner row, the player captures all the seeds in his or her opponent's two holes in the same column as his or her hole and distributes them as before.
  4. A player's turn ends when the last seed being distributed lands, either in an empty hole in the outer row, or in a hole in the inner row which is in the same column with an empty hole in the opponent's inner row.
  5. The game ends when one of the two players has captured all the seeds in the holes of the other player.
  6. The winner is the player with all the seeds.

Difference between Tsoro and Oware

The main differences between Tsoro and Oware are as follows:

  1. Number of playing rows: While Oware employs one playing row for each player, Tsoro uses 2 playing rows for each player.
  2. Number of holes per row: Oware uses a fixed number of holes for each player (6) while for Tsoro, the number of holes can range between 5 and as much as 40
  3. Number of starting seeds: Tsoro can be started with any fixed amount of seeds in each hole while Oware requires 4 seeds in each hole before starting.
  4. Capturing seeds: In Oware, a placer can capture their own seeds to end a game while in Tsoro one cannot capture their own seeds.

Tsoro is unique in its possession of two rows of playing holes for each player in which seeds can be sown in a clockwise or anti-clockwise direction. While Bao also has 4 rows, there are restrictions concerning which holes a placer is allowed to move in. [5]

Mathematical approaches to optimizing a game of Tsoro

Since Tsoro is a turn-based game in which one placer tries to minimize losses and maximize gains, mathematical optimization strategies employing the minimax theory and alpha-beta pruning can be used to solve it for trivial cases. Such solutions exist for some trivial cases involving specific combinations of starting number of seeds and holes. [6] [7]

Computer-based Tsoro Games

To date, only one website offers a computer-based Tsoro game with multiple levels of difficulty and playing options. [8] For mobile phones, there is a Tsoro game which seems to be available only on the Android platform. [9]

Related Research Articles

<span class="mw-page-title-main">Mancala</span> Type of count-and-capture game

Mancala refers to 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.

<span class="mw-page-title-main">Oware</span> Ghanaian abstract strategy game

Oware is an abstract strategy game among the mancala family of board games played worldwide with slight variations as to the layout of the game, number of players and strategy of play. Its origin is uncertain but it is widely believed to be of Ashanti origin.

<span class="mw-page-title-main">Kalah</span> Board game in the mancala family

Kalah is a modern variation in the ancient Mancala family of games, the oldest known version having been found carved into a stone tablet in the 16th-century BCE pyramid of Cheops. The Kalah variation was developed 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.

<span class="mw-page-title-main">Omweso</span> Ugandan traditional mancala game

Omweso is the traditional mancala game of the Ugandan people. The game was supposedly introduced by the Bachwezi people of the ancient Bunyoro-kitara empire of Uganda. Nowadays the game is dominated by Ugandan villagers. It is a very hard and fast game said to keep one's mind high and ever excited, which can make it addictive. The equipment needed for the game is essentially the same as that of the Bao game. Omweso is strictly related to a wide family of mancalas found in eastern and southern Africa; these include Coro in the Lango region of Uganda, Aweet in Sudan, ǁHus in Namibia, Kombe in Lamu (Kenya), Mongale in Mombasa (Kenya), Mongola in Congo, Igisoro in Rwanda, and Kiela in Angola.

Ba-awa is a variant of the game of mancala originating in Ghana. Although played in some of the same regions as Oware, it is simpler and in traditional societies is considered a game for women and children. Ba-awa is related to games j'erin and obridjie played in Nigeria. It is also similar to mancala game anywoli played at the Ethiopian-Sudanese border.

<span class="mw-page-title-main">Bao (game)</span> Board game

Bao is a traditional mancala board game played in most of East Africa including Kenya, Rwanda, Tanzania, Comoros, Malawi, as well as some areas of DR Congo and Burundi. It is most popular among the Swahili people of Tanzania and Kenya; the name itself "Bao" is the Swahili word for "board" or "board game". In Tanzania, and especially Zanzibar, a "bao master" is held in high respect. In Malawi, a close variant of the game is known as Bawo, which is the Yao equivalent of the Swahili name.

<span class="mw-page-title-main">Southeast Asian mancala</span> Count-and-capture board game

Southeast Asian mancalas are a subtype of mancala games predominantly found in Southeast Asia. They are known as congklak, congkak, congka, and dakon in Indonesia, congkak in Malaysia and Brunei, and sungkâ in the Philippines. They differ from other mancala games in that the player's store is included in the placing of the seeds. Like other mancalas, they vary widely in terms of the rules and number of holes used.

<span class="mw-page-title-main">Owela</span> Traditional mancala game played in several African cultures

Owela, also referred to by the Khoekhoe language loanword ǁHus, is the Oshiwambo name of a traditional mancala board game played by the Nama people, Herero people, Rukwangali speakers, and other ethnic groups from Namibia. It is related to the Omweso family of mancala games played in Eastern and Southern Africa. Although this is an abstract strategy game, the consequences of individual moves are so hard to predict that it can be considered, to some extent, a game of chance.

<span class="mw-page-title-main">Igisoro</span> Board game

Igisoro is a two-player variant of the mancala family. It is a variant of the Omweso game of the Baganda people (Uganda), and it is played primarily in Burundi and Rwanda. Igisoro, like Omweso and other mancalas from Eastern Africa such as Bao (game), is played with a 4×8 board of pits and 64 seeds. A player's territory is the two rows of pits closest to them.

<span class="mw-page-title-main">Pallanguzhi</span> South Indian board game

Pallanguli, or Pallankuli, is a traditional ancient mancala game played in South India, especially Tamil Nadu and Kerala. This game was later introduced to Karnataka and Andhra Pradesh in India, as well as Sri Lanka and Malaysia. The game is played by two players, with a wooden board that has fourteen pits in all (hence, it is also called fourteen pits, or pathinālam kuḻi. There have been several variations in the layout of the pits, one among them being seven pits on each player's side. The pits contain cowry shells, seeds or small pebbles used as counters. There are several variations of the game depending on the number of shells each player starts with.

Pasang is a two-player abstract strategy board game from Brunei. The game is often referred to as Pasang Emas which is actually a software implementation of the traditional board game. The object of this game is to acquire the most points by capturing black and white tokens on the board. Black tokens are worth 1 point, and white tokens are worth 2 points. The board is initially laid out with all 120 black and white tokens in one of over 30 traditional patterns. Players choose a piece called a "ka" which is used to capture the tokens on the board. Each player's "ka" moves around the board capturing as many tokens as possible. As a note, the "kas" are the only mobile pieces in the game. The other pieces are stationary, and are captured by the "kas". Players must capture token(s) during their turn, or lose the game. When all tokens have been captured from the board, the player with the most points is the winner. However, if there are any tokens left on the board, and none can be captured on a player's turn, then that player loses the game, and the other player is the winner.

Tsoro yematatu is a two-player abstract strategy game from Zimbabwe. Players first drop their three pieces onto the board, and then move them to create a 3 in-a-row which wins the game. It is similar to games like Tapatan, Achi, Nine holes, Shisima, and Tant Fant. However, what makes this game unique is that pieces can jump over each other which adds an extra dimension in the maneuverability of the pieces.

<span class="mw-page-title-main">Ali Guli Mane</span>

Ali Guli Mane is an abstract strategy board game of the mancala family, from Karnataka in South India. It is known as Chenne Mane in Tulunaadu, Akal Patta in North Karnataka and Satkoli (सत्कोलि) in Maharashtra. The name of the game, like that of many mancala games across the world, is simply a description of the board used: it means a "wooden block with holes". It is similar to Pallanguzhi from the neighbouring state of Tamil Nadu. There are also similarities with the traditional Malay mancala game Congkak.

<span class="mw-page-title-main">Ayoayo</span> Traditional mancala played by the Yoruba people in Nigeria

Ayoayo is a traditional mancala played by the Yoruba people in Nigeria. It is very close to the Oware game that spread to the Americas with the atlantic slave trade. Among modern mancalas, which are most often derived from Warri, the Kalah is a notable one that has essentially the same rules as Ayoayo.

Hawalis is a traditional mancala game played in Oman as well as Zanzibar, where it is known as Bao la Kiarabu, with slightly different rules. It is closely related to African mancalas such as Bao, Njomba, Lela, Mulabalaba (Zambia), Muvalavala (Angola) and Tschuba.

<span class="mw-page-title-main">Enkeshui</span>

Enkeshui is a traditional mancala game played by the Maasai of both Kenya and Tanzania. It is a rather complex mancala game, and bears some similarities to the Layli Goobalay mancala played in Somaliland.

Isolo is a traditional mancala game played by the Sukuma people in northern Tanzania. The rules of the game come in three variants, respectively for women, boys and men.

<span class="mw-page-title-main">Kisolo</span> Mancala board game

Kisolo is a traditional mancala game played by the Luba, Lulua and Songye peoples of DR Congo, Zambia and Zimbabwe. It is closely related to other East African mancalas such as Bao, Bao Kiarabu, Coro and Isolo.

<span class="mw-page-title-main">Layli Goobalay</span>

Layli Goobalay is a board game played in parts of Somalia. It is a variant of the classical count and capture game mancala, which is one of the oldest two-player strategy board games played throughout the world. Layli Goobalay means "to exercise with circles" in the Somali language.

References

  1. Notes on Some African Games. In: NADA, the Rhodesian Ministry of Internal Affairs Annual 1964; 9 (1), 64-66.
  2. MAWERE, M. (2012). Struggle of african indigenous knowledge systems in an age of globalization a case for children's traditional games in South-Eastern Zimbabwe. Bamenda, Cameroon, Langaa Research & Publishing.
  3. Tsoro for Android https://play.google.com/store/apps/details?id=com.anywhere.tsoro
  4. Kumar, S, Ncube, O and Munapo E, (2003) Tsoro and Hungarian approaches: A hybrid algorithm. Asia and Pacific Journal of Operations Research, Vol 20, pp 41-56
  5. A.J. de Voogt (1995), Limits of the mind: towards a characterisation of Bao mastership, CNWS Publications: Leiden.
  6. Tsoro: A Not So Trivial Gambling Game. In: Zimaths (University of Zimbabwe) 1999; 3 (2): 6-7.
  7. Kumar, S, Ncube, O and Munapo E, (2003) Tsoro and Hungarian approaches: A hybrid algorithm. Asia and Pacific Journal of Operations Research, Vol 20, pp 41-56
  8. "Tsoro!".
  9. https://play.google.com/store/apps/details?id=com.anywhere.tsoro</ref