Dotted Tic-Tac-Toe
Almost everyone knows how to play tic-tac-toe. Dotted tic-tac-toe is a multiplayer game to teach kids about number systems.
Rules:
- Players throw a dice in turns.
- Each square in the board has the capacity of 9 dots.
- Players should put dots into one of the boxes as many as their dice shows.
- While putting down dots, players must be careful not to exceed the capacity of the box. In such situations they have to put dots to another box that has capacity.
- Whoever gets right to left, upside-down or diagonal three boxes will be the winner.
Beauty of this game is although it is competitive, it requires help of your opponent.
An example:
In the first three rounds players get 5, 6 and 3 from the dice:
Fourth dice is 1 which gives second player a chance to complete a box.
In the next four rounds players get 5, 5, 6 and 4 which gives again second player to complete another box.
Game resolves in the next rounds as shown in the following:
Binary Tic-Tac-Toe
In this version of the game, use a coin instead of a dice.
Heads: 1
Tails: 0
- Consider that a box can have either of the following: A head & tail (tail & head is the same) or a tail & tail.
- A square can never had head & head, since 1+1=2 which is overload for the binary number system.
- This means that every box is either 1+0=0+1=1 or 0+0=0.
- So in this version of the game, x-o-x turns into 1-0-1. Right to left, upside-down or diagonal 1s or 0s wins the game.
Once again, although the game is competitive, you’ll need your opponent’s help.
An Example:
First two coin tosses are both tails.
Then four consecutive heads are tossed.
Game resolved after three consecutive tails.
M. Serkan Kalaycıoğlu
kmatematikatolyesi.com 