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?
Ultimate Tic Tac Toe
11–20 of 129 posts
Re: Ultimate Tic Tac Toe
#12Neat variant. I made something similar for the last ludum dare: http://madelfino.github.io/LD26/postcompo.html
Re: Ultimate Tic Tac Toe
#13I 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?
Isn't it possible that the first board played could become full since the first mark isn't the result of normal gameplay?
Move 0.
Re: Ultimate Tic Tac Toe
#14I 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?
If you look his Orwin Gambit start it would happen. It's because this the first move is done freely so you end up with one area ahead of it's paths (ie full but with only 8 path already taken).
Re: Ultimate Tic Tac Toe
#15I 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.
Re: Ultimate Tic Tac Toe
#16I recall seeing this before, called "crazy" tic tac toe:
http://tictactoe-cssi.appspot.com/ via: http://neil.fraser.name/news/2011/07/16/
Re: Ultimate Tic Tac Toe
#17[deleted]
Re: Ultimate Tic Tac Toe
#18Important question, can this game be solved, like ordinary tic-tac-toe. Is there a solution that always leads to draw of defeat.
Zermelo's theorem[1] says "yes," although I don't know which it is (between draw, p1 win, p1 lose).
[1] https://en.wikipedia.org/wiki/Zermelo%27s_theorem_%28game_th...
Re: Ultimate Tic Tac Toe
#19My 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.
My Dad, a physicist, taught me that game as a kid. I have great memories of him producing a pen at any restaurant we might have been at, and he and I passing any waiting time playing sprouts on napkins or paper scraps. I since play it with my kids.
Re: Ultimate Tic Tac Toe
#20Important question, can this game be solved, like ordinary tic-tac-toe. Is there a solution that always leads to draw of defeat.
Zermelo's theorem[1] says "yes," although I don't know which it is (between draw, p1 win, p1 lose). [1] https://en.wikipedia.org/wiki/Zermelo%27s_theorem_%28game_th...
In fact, it can't be a p1 lose, because the extra piece p1 gets can never be a disadvantage (you can prove this more carefully). The question is then is it a p1 win, or draw?
A similar situation arises in the game 'hex', except in that game there is no draw, so it has to be a p1 win!