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Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

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Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

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Frieze Patterns in Cast Iron

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

Translating Lines

Age 11 to 14 Challenge Level:

You may want to have a look at Parallel Lines before working on this problem.

Why not start by investigating some equations whose graphs you can visualise easily?