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Ultimate Tic Tac Toe

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Re: Ultimate Tic Tac Toe

#6
post #3

http://xkcd.com/832/ Randall Munroe could do a "small" update to this based on these rules... although it would take some time.

A "small" update? I think this is more like the difference between checkers and chess. But yes, relevant xkcd

Re: Ultimate Tic Tac Toe

#7
post #5

Important question, can this game be solved, like ordinary tic-tac-toe. Is there a solution that always leads to draw of defeat.

Regardless of whether you can build a perfect AI on commodity hardware, though I haven't played this yet, it promises to be a much more interesting game than the normal tic-tac-toe!

Harder to draw a lot on napkins though, but then again, a single game takes much longer.

Re: Ultimate Tic Tac Toe

#9
My daughters play a variant of tic-tac-toe with a physical board and just three stones each.

I brute-forced this with a little lunchbreak program and the visualisation output from graphviz was ... 340 MEGAPIXELS!

I blogged about it: http://williamedwardscoder.tumblr.com/post/35858593837/tic-t...

Re: Ultimate Tic Tac Toe

#10
My favorite "mathematician game" is Sprouts: http://nrich.maths.org/2413

First heard about it in a column in Scientific American by A. K. Dewdney. The rules are simple and it is rather fun. In one of his columns he talked about playing a toroidal version where a line going off one edge of a rectangular page comes back in on the opposite side.

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