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Location: Auckland, New Zealand

Tuesday, October 24, 2006

How To Play 3 Player Noughts and Crosses

Tested, approved, and patented in boring Engineering lectures.


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So I signed in to see if people had said anything and they had.

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Here's how to play 3 player noughts and crosses (called noughts, crosses, and stars):


2 player noughts and crosses uses a 2D grid of 3x3 squares. There's a principle that however many people want to play in the game is how many dimensions you need the grid that you use to have - so to play 3 player noughts, crosses and stars, you need a 3D grid of 3x3x3 squares. Set it up like this:






















Now comes the tricky part - there are three grids there . . . think of it as though you are looking straight down onto the tops of them, then imagine that the top one was stacked on top of the middle one so that the stack sticks out of the screen. Then imagine they were stacked on top of the bottom one, like a stack of three transparent cards that each have a noughts and crosses grid drawn on them.


Like this: Here's the same picture, but with the 3 grids drawn in different colours:






















They're stacked on top of each other like this (imagine you're looking at the stack from the side):

















Now, the difference between this and 2 player noughts and crosses is that as well as being able to connect three in a row horizontally, diagonally, or vertically in one flat grid, you can now connect them three in a row vertically, horizontally, or diagonally between the 3 flat grids!

Like this - here's an example of 3 crosses connected vertically with a vertical green line through them (using the view from the side again):




















And the same connection in normal format:























I hope you can see how this is a vertical connection between the three squares.


I hope you can see this as well: The square with the blue blob is connected to all the other squares with blobs in them - horizontally to the green ones, vertically to the yellow one, and diagonally to the red ones:






















Last of all, here's a question. If you can get this, you have graduated and are allowed to play 3 player noughts and crosses: Below is a game: Who has won?
























Answer: Noughts won.


So yeah. There you go. Sharing some of the knowledge I've acquired in Engineering lectures :D Three player noughts and crosses (noughts, crosses and stars) has a lot more depth to it than 2 player! (For those who saw that - sorry about the very bad pun :D )




Of course, that got me thinking - what if you want to play 4 player? That would require a 4D board - 3x3x3x3 squares.


Don't do it. It hurts. It really hurts your mind. Noughts and crosses is a maximum 3 player game!

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