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This activity investigates how you might make squares and pentominoes from Polydron.

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A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

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Symmetry Challenge

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.

Tubular Path

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Move the green spot along the tube by moving the yellow spot.
Explain how you did it.

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The yellow spot does not follow this grey tube.
I wonder if there is a tube which the yellow spot and the green spot would both follow?
Could you draw one?