Tic-tac-toe, noughts and crosses, or Xs and Os is a paper-and-pencil game for two players who take turns marking the spaces in a three-by-three grid with X or O. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner. It is a solved game, with a forced draw assuming best play from both players.
Nine men's morris is a strategy board game for two players dating at least to the Roman Empire. The game is also known as nine-man morris, mill, mills, the mill game, merels, merrills, merelles, marelles, morelles, and ninepenny marl in English. In North America, the game has also been called cowboy checkers, and its board is sometimes printed on the back of checkerboards. Nine men's morris is a solved game, that is, a game whose optimal strategy has been calculated. It has been shown that with perfect play from both players, the game results in a draw.
A solved game is a game whose outcome can be correctly predicted from any position, assuming that both players play perfectly. This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance.
Three-dimensional chess is any chess variant that replaces the two-dimensional board with a three-dimensional array of cells between which the pieces can move. In practice, this is usually achieved by boards representing different layers being laid out next to each other. Three-dimensional chess has often appeared in science fiction—the Star Trek franchise in particular—contributing to the game's familiarity.
3D tic-tac-toe, also known by the trade name Qubic, is an abstract strategy board game, generally for two players. It is similar in concept to traditional tic-tac-toe but is played in a cubical array of cells, usually 4×4×4. Players take turns placing their markers in blank cells in the array. The first player to achieve four of their own markers in a row wins. The winning row can be horizontal, vertical, or diagonal on a single board as in regular tic-tac-toe, or vertically in a column, or a diagonal line through four boards.
Teeko is an abstract strategy game invented by John Scarne in 1937 and rereleased in refined form in 1952 and again in the 1960s. Teeko was marketed by Scarne's company, John Scarne Games Inc.; its quirky name, he said, borrowed letters from Tic-tac-toe, Chess, Checkers, and Bingo.
Race game is a large category of board games, in which the object is to be the first to move all one's pieces to the end of a track. This is both the earliest type of board game known, with implements and representations dating back to at least the 3rd millennium BC in Egypt, Iraq, and Iran; and also the most widely dispersed: "all cultures that have games at all have race games". Race games often use dice to decide game options and how far to move pieces.
Dara is a two-player abstract strategy board game played in several countries of West Africa. In Nigeria it is played by the Dakarkari people. It is popular in Niger among the Zarma, who call it dili, and it is also played in Burkina Faso. In the Hausa language, the game is called doki which means horse. It is an alignment game related to tic-tac-toe, but far more complex. The game was invented in the 19th century or earlier. The game is also known as derrah and is very similar to Wali and Dama Tuareg.
Nine holes is a two-player abstract strategy game from different parts of the world and is centuries old. It was very popular in England. It is related to tic-tac-toe, but even more related to three men's morris, achi, tant fant, shisima, picaria, and dara, because pieces are moved on the board to create the 3 in a row. It is an alignment game.
Achi is a two-player abstract strategy game from Ghana. It is also called tapatan. It is related to tic-tac-toe, but even more related to three men's morris, Nine Holes, Tant Fant, Shisima, and Dara, because pieces are moved on the board to create the 3-in-a-row. Achi is an alignment game.
Tant fant is a two-player abstract strategy game from India. It is related to tic-tac-toe, but more closely related to three men's morris, nine holes, achi, shisima, and dara, because pieces are moved on the board to create the 3 in a row. It is an alignment game.
Shisima is a two-player abstract strategy game from Kenya. It is related to tic-tac-toe, and even more so to three men's morris, Nine Holes, Achi, Tant Fant, and Dara, because pieces are moved on the board to create the 3-in-a-row. Unlike those other games, Shisima uses an octagonal board.
Picaria is a two-player abstract strategy game from the Zuni Native American Indians or the Pueblo Indians of the American Southwest. It is related to tic-tac-toe, but more related to three men's morris, Nine Holes, Achi, Tant Fant, and Shisima, because pieces can be moved to create the three-in-a-row. Picaria is an alignment game.
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.
Zillions of Games is a commercial general game playing system developed by Jeff Mallett and Mark Lefler in 1998. The game rules are specified with S-expressions, Zillions rule language. It was designed to handle mostly abstract strategy board games or puzzles. After parsing the rules of the game, the system's artificial intelligence can automatically play one or more players. It treats puzzles as solitaire games and its AI can be used to solve them.
Birrguu Matya is claimed to be a traditional Australian Aboriginal game taught to children from a young age to develop skill, patience and lateral thinking for the purposes of sharpening their hunting skills in later life, however it appears to be similar or identical to a game played in Asia called Tapatan. Birrguu Matya is marketed as belonging to the cultural history of the Wiradjuri People who are considered the first inhabitants of the Bathurst district and have been living there for at least 40,000 years.
Mojo is a two-player, 3 in-a-row abstract strategy board game played with original and unique "thrice-sliced-dice". The pieces, handmade to order in India, are colored with non-toxic vegetable dye. The individual opposite ends of the pieces are marked with pips and numbered similar to regular dice - i.e. they total 7. It takes all 3 pieces of a color to make up a single die.
Notakto is a tic-tac-toe variant, also known as neutral or impartial tic-tac-toe. The game is a combination of the games tic-tac-toe and Nim, played across one or several boards with both of the players playing the same piece. The game ends when all the boards contain a three-in-a-row of Xs, at which point the player to have made the last move loses the game. However, in this game, unlike tic-tac-toe, there will always be a player who wins any game of Notakto.
Tic-tac-toe is an instance of an m,n,k-game, where two players alternate taking turns on an m×n board until one of them gets k in a row. Harary's generalized tic-tac-toe is an even broader generalization. The game can also be generalized as a nd game. The game can be generalised even further from the above variants by playing on an arbitrary hypergraph where rows are hyperedges and cells are vertices.
