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Ultimate Tic Tac Toe

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31–40 of 129 posts

Re: Ultimate Tic Tac Toe

#31
post #26

Earlier quoted context omitted.

Did you ever learn about the variant called 'Brussels Sprouts' and the trick to winning?

Please explain :)

If I remember correctly, instead of only allowing three edges to emanate from a vertex, you can have four. All other rules are the same. Apparently, in that set up, the the first player either always wins or loses depending upon whether the number of initial vertices is odd.

Re: Ultimate Tic Tac Toe

#32
post #16

I recall seeing this before, called "crazy" tic tac toe: http://tictactoe-cssi.appspot.com/ via: http://neil.fraser.name/news/2011/07/16/

The first of these doesn't follow the same rules as OP. It seems that you can retake a board if you get a new row in a box that has already been won.

Re: Ultimate Tic Tac Toe

#33
post #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.

use 9 napkins - problem solved ;)

Re: Ultimate Tic Tac Toe

#35

I don't understand the clarifying rule #2: "What if my opponent sends me to a board that’s full?" Isn't that impossible, as there is a maximum of 9 ways to be sent to each local area?

I think you can get sent to a full board only if the game started on that board.

Of course, there's a cascading effect where it's now possible to also overflow the board you chose with your free move.

Re: Ultimate Tic Tac Toe

#36
post #30
post #25

Earlier quoted context omitted.

"Fill center, as he describes. Fill (e.g.) northeast corner in the same way." I don't think you can force that. When you have the nine center squares of each square and he has the 8 non-center squares of the center square, it is your opponent's move. The 'force-fill the center square' only works because, in your first move, you occupied the center square. That move prevents your opponent from ever picking the center…

Instead of filling the center square on the last board, you can fill the corresponding square and then start forcing your opponent to win that board.

Doesn't quite work, since the opponent can chose the centre square which leaves you with a free move, but whatever master square you place your free move in, can no longer be used to force him back into the same master square.

Re: Ultimate Tic Tac Toe

#37
post #30
post #25

Earlier quoted context omitted.

"Fill center, as he describes. Fill (e.g.) northeast corner in the same way." I don't think you can force that. When you have the nine center squares of each square and he has the 8 non-center squares of the center square, it is your opponent's move. The 'force-fill the center square' only works because, in your first move, you occupied the center square. That move prevents your opponent from ever picking the center…

Instead of filling the center square on the last board, you can fill the corresponding square and then start forcing your opponent to win that board.

I don't think so. At Orwin -1, picking a non-center move forces O to one of 6 perimeter boards, none of which have that corresponding perimeter position filled. This cedes initiative to O.

Re: Ultimate Tic Tac Toe

#38
post #23

I think the Orwin gambit can be extended to win the game every time. - Force opponent to fill center miniboard, as he describes. - Force opponent to fill (e.g.) northeast corner in the same way. Opponent now has taken two miniboards, and you have none, but you are one turn away from taking each of the remaining seven. - Pick SW corner of SW corner. You have taken SW corner miniboard. Opponent is forced to play in sam…

either I'm wrong

TLDR: you're wrong.

C/C, C/SW, C/S, [opponent takes C], C/SE, NE/SW, NE/S...

after C/SE, your opponent has control and can go anywhere that is available in the center board they've already won, so you can't assume you're next play will be NE.

More importantly after you've sent them to the SW board with NE/SW they can go anywhere except the middle and so they then have the initiative.

Hmm, It looks like you switched notation halfway through? I was assuming board/position and only showing player 1 moves but that doesn't after losing the center board

Regardless you lose the initiative after 5 moves.

Re: Ultimate Tic Tac Toe

#39
Does anyone else play the 'infinite board' tic-tac-toe which requires you to get five in a row? It's what I used to play as a student, and it's pretty well-known at least where I live. Nobody bothers with the 3x3 version, but the five in a row version is pretty exciting and requires plenty of strategy and thinking ahead.

Re: Ultimate Tic Tac Toe

#40
post #23

I think the Orwin gambit can be extended to win the game every time. - Force opponent to fill center miniboard, as he describes. - Force opponent to fill (e.g.) northeast corner in the same way. Opponent now has taken two miniboards, and you have none, but you are one turn away from taking each of the remaining seven. - Pick SW corner of SW corner. You have taken SW corner miniboard. Opponent is forced to play in sam…

The answer is obvious: the next player must play the corresponding board UNLESS it is already won. Thne they can choose which board to go to randomly.
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