Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
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.
An irregular hexagon can be made by cutting the corners off an equilateral triangle. How can an identical hexagon be made by cutting the corners off a different equilateral triangle?
This problem is taken from the UKMT Mathematical Challenges.