The following tessellation is made up of fish-shaped pieces. These pieces are formed by following the 1st and 2nd rules which apply when constructing Escher's tessellations, explained on the previous two pages.

2.- Review the section about tessellating the plane with regular hexagons and equilateral triangles and the relationships that exist between them.

3.- Compare this pattern with the Nazari bird pattern we saw previously. Analyse the differences and similarities between them.

4.- Try and work out how the basic fish-shaped piece was formed and examine the movements it needs to undergo as well as the subsequent choice of where the pieces can be placed so that they fit together to make the tessellation. 

5.- Use both rules to design pieces from different polygons, except triangles.

6.- Work out if both rules can be applied at the same time without having any kind of restriction on the formation of the tessellation.

7.- Note that the Nazari bird will also fit into this kind of design?

Click on the Animate button in each window to see the movements needed to form the tessellation.