My favourite pentagonal tile
I love this tile for an infinite number of reasons, as many as ways there are to cover the plane with this pentagon and squares. Alone, it can fill the plane in two different ways.
It's a very simple pentagon, just a square with one of its corners cut out. All you need to experiment with it is squared paper. You won't need ruler and compass, as with most other tiles.
 
 
 


 

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