Draw a pentagon with all the diagonals. This is called a pentagram.
How many diagonals are there? How many diagonals are there in a
hexagram, heptagram, ... Does any pattern occur when looking at the
number of diagonals?
The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?
Remember that you want someone following behind you to see where
you went. Can yo work out how these patterns were created and
This problem is taken from the UKMT Mathematical Challenges.