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A Knight's Journey

This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.

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Make a footprint pattern using only reflections.

Knights Moving

Age 16 to 18 Challenge Level:

Where can you move first?
What are the possibilities for your second move?
What for the third?

Think about how a counter can move around the board.
Some squares offer you less choice. Is this significant?

Is there another way you can visualise this problem?
How will you record what you have done?