How many triangles can you make on the 3 by 3 pegboard?
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
You could try using twelve sticks of equal length such as headless matches to try out your ideas.