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.
Plex lets you specify a mapping between points and their images.
Then you can draw and see the transformed image.
Why not challenge a friend to play this transformation game?
The time taken for six gardeners to dig six flower beds is the
same as the time it takes one gardener to dig one bed of the same
size, and hence the answer is $9$ hours.
This problem is taken from the UKMT Mathematical Challenges.