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Penrose's "kites and darts" tessellation is special because there is no repeating pattern in it. Here you can create templates of the kite and dart shapes below so you can make all manner of tessellations yourself. Here's how:
You will need:
What to do:
Why not have fun with your own template for Christmas or New Year?
Can you design a star that tessellates with another shape?
You could even use your pattern to make wrapping paper for birthdays too.
Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?
Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?
An activity making various patterns with 2 x 1 rectangular tiles.