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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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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?

Shapely Tiling

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

Below is a pattern which can be created using a pair of compasses and a ruler, and a photograph of an Islamic Star.

Islamic Star Image

Photograph of an Islamic Star

Use the interactivity to make this Islamic star and cross design.

Can you produce the following tessellations:

  • regular octagons with two different types of triangle?
  • irregular hexagons with triangles and squares?

Click on a region of the pattern to change its colour. The colours will cycle between white, green, purple and orange if you keep clicking.

Use the CLEAR button to change everything back to white.

Full screen version

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Printable version of the above interactivity