Penta people, the Pentominoes, always build their houses from five
square rooms. I wonder how many different Penta homes you can
Can you make these equilateral triangles fit together to cover the
paper without any gaps between them? Can you tessellate isosceles
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?
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!