Tesselations are not always regular. Sometimes they are quite messy – like this Crazy Tesselated Path you see here. At first glance it looks like a random fitting of individual tiles but if you look very closely you will see a pattern. Can your students spot it easily? Look at the individual tiles. How many straight sides do they have? Why are they all so different? Why not just use a few tile shapes? Crazy paving uses a wide variety of shapes because of all the spaces created by trying to fit together non-symmetrical, irregular shapes. You need a new shape to exactly fit the spaces created.
One follow-up activity is to create your own crazy tile path with a pencil and paper. You may like to start drawing on a 1 cm grid.