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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

You will almost certainly find it helpful to do one or more of the following:
  • Use Polydron (making many of the same shape, each shape - one colour);
  • Cut out the shape you want to use from card;
  • Use a computer program to make the shape in the first place (I used Word Draw and discovered that holding down 'Shift' when using rotate does the rotation in equal steps, which was very helpful!).