Quantum Tic-Tac-Toe

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This Month’s Challenge: December 2003

Just because the force move in Classical Tic-Tac-Toe is not a force move in Quantum Tic-Tac-Toe does not mean that there are no force moves in Quantum Tic-Tac-Toe. There are in fact several. Depending upon the taxonomy used to distinguish them, there are about 8. This month's challenge is to identify as many quantum force situations as possible.


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Last Month’s Answer: November 2003

See the situation in the PDF file. Note that X cannot get a real mark in square 7 in only one move. This gives O time to make her own force move (for instance, move 6 in squares 6 & 9). If O tried to directly stop X from getting a 3-row in the first column by placing her spooky marks in the same squares as X did (7 & 8), it would form a cyclic entanglement which X gets to collapse in his favor. However, while X can't complete the 3-row in only one move, neither can O block it in only one move, so while not technically a force move, X's open 2-row in squares 1 & 4 is nonetheless a powerful threat. To fully realize this threat, however, X needs to take into account O's possible threats. His better third move would be into squares 7 and 9 (or 6). Can you see why?


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