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Numerical Tic Tac Toe is a variation invented by the mathematician Ronald Graham. The numbers 1 to 9 are used in this game. The first player plays with the odd numbers, the second player plays with the even numbers. All numbers can be used only once. The player who puts down 15 points in a line wins (sum of 3 numbers). This game can be generalized to a n × n board.

In misère tic-tac-toe, the player wins if the opponent gets n in a row. This game is also known as avoidance tic tac toe, toe-tac-tic, inverse tic tac toe, or reverse tic tac toe. A 3×3 game is a draw. More generally, the first player can draw or win on any board (of any dimension) whose side length is odd, by playing first in the central cell and then mirroring the opponent’s moves.

In Treblecross, both players play with the same symbol (an X or black chip). The game is played on a 1-by-n board with k equal to 3. The player who makes a three in a row of Xs (or black chips) wins the game.

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 n 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.

Another isomorphic game uses a list of nine carefully chosen words, for instance “eat”, “bee”, “less”, “air”, “bits”, “lip”, “soda”, “book”, and “lot”. Each player picks one word in turn and to win, a player must select three words with the same letter. The words may be plotted on a tic-tac-toe grid in such a way that a three in a row line wins.

In the game SOS, the players on each turn choose to play a “S” or an “O” in an empty square. If a player makes the sequence SOS vertically, horizontally or diagonally they get a point and also take another turn. The player with the most points (SOSs) is the winner.

Many board games share the element of trying to be the first to get n-in-a-row, including three men’s morris, nine men’s morris, pente, gomoku, Qubic, Connect Four, Quarto, Gobblet, Order and Chaos, Toss Across, and Mojo.In the 1970s, there was a two-player game made by Tri-ang Toys & Games called Check Lines, in which the board consisted of eleven holes arranged in a geometrical pattern of twelve straight lines each containing three of the holes. Each player had exactly five tokens and played in turn placing one token in any of the holes. The winner was the first player whose tokens were arranged in two lines of three (which by definition were intersecting lines). If neither player had won by the tenth turn, subsequent turns consisted of moving one of one’s own tokens to the remaining empty hole, with the constraint that this move could only be from an adjacent hole.Quantum tic tac toe allows players to place a quantum superposition of numbers on the board, i.e. the players’ moves are “superpositions” of plays in the original classical game. This variation was invented by Allan Goff of Novatia Labs.In wild tic-tac-toe, players can choose to place either an X or O on each move. It can be played as a normal game where the player who makes three in a row wins or a misere game where they would lose. This game is also called your-choice tic-tac-toe or Devil’s tic-tac-toe.One can play on a board of 4×4 squares, winning in several ways. Winning can include: four in a straight line, four in a diagonal line, four in a diamond, or four to make a square. Another variant, Qubic, is played on a 4×4×4 board; it was solved by Oren Patashnik in 1980 (the first player can force a win). Higher-dimensional variations are also possible. The game called Amőba (amoeba) in Hungary is played on squared paper; it is a five-in-a-row variant. The winner of a match gets to fence in the completed game with a tight continuous line resulting in an amoeba-looking shape, hence the name. The game Quixo is played on a five-by-five board of cubes with two players or teams. On a player’s turn, they select a blank cube or a cube with their symbol on it that is at the edge of the board. If a blank cube was selected, the cube is turned to be the player’s symbol (either an X or O). The game ends when one player gets five in a row.An early variation of tic-tac-toe was played in the Roman Empire, around the first century BC. It was called Terni Lapilli and instead of having any number of pieces, each player only had three; thus, they had to move them around to empty spaces to keep playing. The game’s grid markings have been found chalked all over Rome. However, according to Claudia Zaslavsky’s book Tic Tac Toe: And Other Three-In-A Row Games from Ancient Egypt to the Modern Computer, Tic-tac-toe could be traced back to ancient Egypt. Another closely-related ancient game is three men’s morris, which is also played on a simple grid and requires three pieces in a row to finish.

In quick-tac-toe, on each turn the players can play their mark in any squares they want provided that all the marks are in the same vertical or horizontal row. The winner is the player who places the last mark.Your question may be answered by our experts, sellers, manufacturers or customers who bought this product. Your question will be answered by email, please make sure you provide a correct email address. The delivery date gives you an indication of how long it will take to receive the item. It´s based on the preparation time, the delivery service selected on the Shopping Basket page and when we receive cleared payment. Your feedback is important to us, your review about this product will be revised by our experts and will be published within 5 working days. Please make sure that your review focus on the product and your experience with it, this will help other customers make more confident decisions. For any issues with an order, please contact us.Select the `Remember me on this computer` option if you wish to be automatically logged on to the computer in future. Your account will remain active for 45 days. Please do not use the `Remember me` option if using a computer with public access or that is used by more than one person.

Tradeinn Retail Services as the data controller will process your data in order to respond to your query or request. You can access, rectify and delete your data, as well as exercise other rights by consulting the additional and detailed information on data protection in our Privacy Policy.While tic-tac-toe is elementary to solve and can be done nearly instantly using depth-first search, ultimate tic-tac-toe cannot be reasonably solved using any brute-force tactics. Therefore, more creative computer implementations are necessary to play this game.

The most common artificial intelligence (AI) tactic, minimax, may be used to play ultimate tic-tac-toe, but has difficulty playing this. This is because, despite having relatively simple rules, ultimate tic-tac-toe lacks any simple heuristic evaluation function. This function is necessary in minimax, for it determines how good a specific position is. Although elementary evaluation functions can be made for ultimate tic-tac-toe by taking into account the number of local victories, these largely overlook positional advantage that is much harder to quantify. Without any efficient evaluation function, most typical computer implementations are weak, and therefore there are few computer opponents that can consistently outplay humans.The game starts with X playing wherever they want in any of the 81 empty spots. This move “sends” their opponent to its relative location. For example, if X played in the top right square of their local board, then O needs to play next in the local board at the top right of the global board. O can then play in any one of the nine available spots in that local board, each move sending X to a different local board.

Another version for the game allows players to continue playing in already won boxes if there are still empty spaces. This allows the game to last longer and involves further strategic moves. This is up to the players on which rule to follow. It was shown in 2020 that this set of rules for the game admits a winning strategy for the first player to move, meaning that the first player to move can always win assuming perfect play. If playing with this rule set is still preferred, the forced-win problem can be practically solved by generating the first 4 moves at random. This is most effectively done by randomly generating a 5-digit number, then using the first digit to select a global box and the next four digits to place “X”s and “O”s in the appropriate local box.

If a move is played so that it is to win a local board by the rules of normal tic-tac-toe, then the entire local board is marked as a victory for the player in the global board. Once a local board is won by a player or it is filled completely, no more moves may be played in that board. If a player is sent to such a board, then that player may play in any other board. Game play ends when either a player wins the global board or there are no legal moves remaining, in which case the game is a draw.Tic-Tac-Ku, a game invented by Mark Asperheim and Cris Van Oosterum, the rule is the same as ultimate tic-tac-toe, the only exception is that a player wins the game by winning at least five local boards.

Ultimate tic-tac-toe is significantly more complex than most other variations of tic-tac-toe, as there is no clear strategy to playing. This is because of the complicated game branching in this game. Even though every move must be played in a local board, equivalent to a normal tic-tac-toe board, each move must take into account the global board in several ways:

However, artificial intelligence algorithms that don’t need evaluation functions, like the Monte Carlo tree-search algorithm, have no problem in playing this game. The Monte Carlo tree search relies on random simulations of games to determine how good a position is instead of a positional evaluation and is therefore able to accurately assess how good a current position is. Therefore, computer implementations using these algorithms tend to outperform minimax solutions and can consistently beat human opponents.

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Tic Tac Toe is a “zero-sum game”. If both players play perfectly, the game ends in a draw. Below you can find the most valuable strategies and tactics when you play Tic Tac Toe game.Two players play against each other using a 3×3 board. One player uses noughts, and the opposing player uses crosses. The first player to align 3 of their identical symbols (horizontally, vertically, or diagonally) wins the game.You can play online by clicking on “Play with a friend”. A private game session is created with a unique link that you’re invited to share with your friend.You can organize a private tournament by clicking on “Create private tournament”. After setting up parameters such as the name or tournament mode, you’re invited to share the link with your group.

Players that enjoy Tic-Tac-Toe may also want to play the Connect 4 game as it increases the difficulty and strategy. Players willing to play a strategic game may want to try to play Gomoku. It’s basically the same rules as Tic-Tac-Toe, but with a 15×15 board and five pieces to align.

Three Dimensional Tic Tac Toe – This is slightly harder. You can make three in a row in any dimension. One on top of the other, diagonally, on the same level, etc.

But even something as mundane as this game has so many variations built on top of it! We\u2019ve tried to find you 6 of them that you\u2019d really enjoy!Four X Four Tic Tac Toe – One extra row and one extra column. Here there are a few variations in the way points can be awarded. For example, you get one point for having all four corners. Or 2 points for having all four in a row. Try it out here.

ULTIMATE Tic Tac Toe – Want someone to play this with me! You play 3 x 3 tic tac toe, in a 3 x 3 grid. If you win three overall games in a row you win the ultimate tic tac toe.

Wild Tic Tac Toe – Every turn you can choose to either put an X or put an O. First to complete a row wins. It looks so different when you complete this one.

Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) 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.Games played on three-in-a-row boards can be traced back to ancient Egypt, where such game boards have been found on roofing tiles dating from around 1300 BC.

In 1975, tic-tac-toe was also used by MIT students to demonstrate the computational power of Tinkertoy elements. The Tinkertoy computer, made out of (almost) only Tinkertoys, is able to play tic-tac-toe perfectly. It is currently on display at the Museum of Science, Boston.