A Conversation for The Tic Tac Toe Problem

tic,tac,toe

Post 1

moss sage

Isuggest that there can be no general rules for a game played in n dimensions.
tnough it may be possible to define rules for regular surfaces within any given multi-faceted shape.
angular borders present the greater difficulty, wheather to specify like or unlike symbol
oneither side of the cojoining angle. (should the rotating peak of a pyramid show "xxx" or "oxo"?).


tic,tac,toe

Post 2

Joe aka Arnia, Muse, Keeper, MathEd, Guru and Zen Cook (business is booming)

What about for an n-dimensional hypercube?
There should be some generalisation there, and that was the main thrust of this problem.


tic,tac,toe

Post 3

pastryface

i would have thought thst the minimal playable grid answer was three for any d?

although maybe i don't understand the question smiley - smiley

btw, i once saw something on tv where someone made a noughts and crosses playing computer by using match boxes for each position in the game tree

the computer played randomly at first but if it lost a pebble was placed in the last box of its game (or something like this). thinking about it now i can't understand why match boxes were used instead of pencil and paper....

...perhaps i was drunk at the time

matrices would be useful for any calculations


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