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Shapely Tiling

Age 7 to 11
Challenge Level

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

Have a good look at this shape below. 
What shapes can you see?
Find shapes that are the same.
Can you name the different shapes you find?

Can you produce the following tessellations:

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