### Penta Place

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

### Tessellating Triangles

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

### 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:

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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