c

"Tuesday,  2025-05-06 - 19:30:36"

Tic-Tac-Toe
An Exercise in Scalability
   

to Engineering Study

Four-Dimensional Tic-Tac-Toe
Another game in the series - but with significant key differences.
Similarities	Differences
The game is still played sequentially.   There are still a finite number of possible moves.	This game is played in four (4) dimensions.   The game is much more difficult to visualize.   There can now be more than two players.  In fact, it is best played with at least four players.   The number of possible moves increases significantly as you factor in the number of players.
Rules of the game
Two or more players  (The more players, the more challenging the game.) Recommended mimimum number of players is four.   Five-in-a-straight-line (e.g., row) wins the game.   Winning line can be in any direction - e.g., a straight line on a plane of any two of the four dimensions.  (See examples.)

 

Game Sheet  (Print and play) - Web version. - PDF-version.   Mode Players Beginner Two to three Intermediate Four or five Advanced Six to eight   Basic winning moves  (Illustrated examples) More winning moves  (Illustrated examples)   Picking the winning moves. Predictable next moves Games of Greed vs. Defense Winning vs. Not losing P.S. It can also be used to implement an exhanced version of bingo, requiring more skill than luck.

 

Exercises:
How many possible first moves are there?	5 x 5 x 5 x 5 = 54 = 625
If there are 4 players (the minimum recommended) how many possible first rounds are there?	625 x 624 x 623 x 622 = 151,127,340,000
How many unique first moves are there?
How many unique first rounds are there?
What is the minimum number of rounds to win a game?
How many possible winning moves are there?
How many unique winning moves are possible?
What is the minimum number of moves (assuming four players) at which point it is impossible for anyone to win?
Do you prefer to play offense or defense?
Describe what would be your favorite strategy to win?

This page maintained by  Zo^o Students Last updated * 2024-02-08

X25-CSID

Copyright © 2005-2024 Zo^o University All Rights Reserved