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Here's a game to play with an adult!
Have you noticed that some very long numbers are very big whilst other very long numbers are small? Can you think of an example of each?
Here's a game where you can test your skill at putting small numbers into the right order - it's not as easy as it sounds!
How do you play?
You'll need an adult to play with.
You'll also need a copy of the game board and two different coloured pencils.
Decide who goes first.
Take turns to choose a number from the grid and mark it on the spiral. Make sure you know where 0 and where 1 is!
Keep taking turns until one of you has marked three numbers next to each other.
0.5 | 0.25 | 0.75 | 0.3 |
0.35 | 0.9 | 0.99 | 0.999 |
0.1 | 0.01 | 0.05 | 1.79 |
0.64 | 0.32 | 0.54 | 0.865 |
Can you work out a winning strategy?
Does it matter who goes first?
Does it matter which number you choose first?
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.
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.