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.
Recreating the designs in this challenge requires you to break a
problem down into manageable chunks and use the relationships
between triangles and hexagons. An exercise in detail and elegance.
A regular pentagon together with three sides of a regular hexagon form a cradle. What is the size of one of the angles?
This problem is taken from the UKMT Mathematical Challenges.