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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?

Building Stars

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

Roger Penrose, a very famous mathematician, spent a lot of time looking at tessellating patterns.
You will know that tessellations have a repeating pattern, but Penrose tried to find a tessellation without any repeating part at all. After many years he was successful, using just a kite shape and a dart shape.

Our game this month challenges you to make his tessellation yourself. Have a go!

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