Spirals

AWAITING INTERACTIVE - IMAGE AND TEXT BELOW PLACEHOLDERS


spiral.jpg
This is a game for two players.
Place a counter on the green dot.
Now take it in turns to move the counter between 1 and 6 dots along the spiral (you can move 1 dot and you can move 6 dots), always inwards.
The first player to reach the red dot is the winner.

Try to find a winning strategy.
 
This problem is based on the original Spiral Game produced by the Shell Centre for Mathematical Education.