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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.

Symmetrical Semaphore

Stage: 2 Challenge Level: Challenge Level:1

Which of the signals would look the same from the front and the back?
Can you find pairs of signals that 'match' when seen from in front or behind?
What about the order in which the signals are sent? Do they matter?