This activity investigates how you might make squares and pentominoes from Polydron.
Systematically explore the range of symmetric designs that can be
created by shading parts of the motif below. Use normal square
lattice paper to record your results.
What is the missing symbol? Can you decode this in a similar way?
The quadrilaterals are all symmetrical. This may be rotational or line symmetry or both. Can you work out what the missing coordinates are if you know they are all positive? Is there more than one way to find out?
Now plot those eight missing coordinates on a graph like this. What shape do they make and what sort of symmetry does it have?