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Can you explain the strategy for winning this game with any target?

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The game uses a 3x3 square board. 2 players take turns to play, either placing a red on an empty square, or changing a red to orange, or orange to green. The player who forms 3 of 1 colour in a line wins.

Yih or Luk Tsut K'i or Three Men's Morris

Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.

Nim-7

Age 5 to 14
Challenge Level


This is a basic form of the ancient game of Nim.

You will need seven objects, such as counters or blocks. It is a game for two players.

Watch the video below to find out how to play:

If you cannot access the video, click below to read the rules.

Place the seven counters in a line and decide who will go first. (In the next game, the other player will have the first turn!)

Each player takes it in turns to take away either one counter or two counters.

The player who takes the last counter (or counters) wins.

Play several times so that you get a good 'feel' for the game.

Are there any points in the game, before the end, when you know who the winner is going to be? How do you know?

Can you find a way to play so that you are sure you will win right from the start?

Does it matter who has the first turn? Why or why not?


Once you are an expert at this game, you may like to try playing Daisy, which is another Nim-like game. 

Printable NRICH Roadshow resource.