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Penta Place

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

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Tessellating Triangles

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

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Tetrafit

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?

Tessellating Transformations

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

We haven't heard from anyone who's tried this problem yet.
If you've thought about which of the tessellations in the problem go on for ever, do let us know. Perhaps you've investigated how they are made from the starting shape?
We would like to see some of the tessellations you produce - please do send us your images and don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.
Teachers - you might like to send a summary of your children's work.