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How many triangles can you make on the 3 by 3 pegboard?

Cutting Corners

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?

Triangle Island

Age 7 to 11 Challenge Level:

Hugo sent us pictures of his solution. Well done, Hugo!

I know that the area of a triangle is given by the forumula \[ \frac{1}{2} \times base \times height.\] The original triangle has base $1$ and height $1$, so as long as each triangle on the way also has base $1$ and height $1$ the area will stay the same".

Starting positionAfter step 1After step 2After step 3After step 4After step 5After step 6After step 7After step 8After step 9After step 10