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?
Below is a pattern which can be created using a pair of compasses and a ruler, and a 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
Printable version of the above interactivity