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Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

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Plex lets you specify a mapping between points and their images. Then you can draw and see the transformed image.

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Transformation Game

Why not challenge a friend to play this transformation game?

Weekly Problem 7 - 2006

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

It takes four gardeners four hours to dig four circular flower beds, each of diameter $4$ metres.

How long will it take six gardeners to dig six circular flower beds, each of diameter six metres?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.

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