| Five-Dimensional Tic-Tac-Toe
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| Another game in the series - but with significant key differences.
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| Similarities |
Differences |
- The game is still played sequentially.
- There are still a finite number of possible moves.
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- This game is played in Five (5) dimensions.
- The game is much, much more difficult to visualize. ("Visual bandwidth" is critical.)
- There can now be more than two players. In fact, it is best played with at least Five players.
- The number of possible moves increases significantly as you factor in the number of players.
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| Rules of the game: |
- Two or more players (The more players, the more challenging the game.)
- Six-in-a-row (i.e., in a straight line) wins the game.
- Winning line can be in any direction - e.g., a straight line on a plane of any two of the Five dimensions. See examples.)
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| Game Sheets: (Print and play)
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| Winning Moves:
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- Please see the examples for 4-dimensional Tic-Tac-Toe.
Example Set 1 and Example Set 2.
- The moves for 5-dimensional Tic-Tac-Toe are similar.
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| Exercises: |
- How many possible first moves are there?
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- 6 x 6 x 6 x 6 x 6 = 65 = 7,776
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- If there are 5 players (the minimum recommended) how many possible first rounds are there?
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- 7776 x 7775 x 7774 x 7773 x 7772
= 28,393,742,898,980,409,600
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- How many unique first moves are there?
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- How many unique first rounds are there?
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- What is the minimum number of rounds to win a game?
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- How many possible winning moves are there?
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- How many unique winning moves are possible?
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- What is the minimum number of moves (assuming five players) at which point it is impossible for anyone to win?
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- Do you prefer to play offense or defense?
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- Describe what would be your favorite strategy to win?
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