This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
We see here some examples of Hayley's work. She recorded them in different ways but there is evidence of systems for generating new ones. She did very well to get 100, but there are more to do:
Here are all the 100 images: