tessellations of shapes made out of 'units' composed of a number of squares can be interesting to complete and then analyse for the various regularities
- the symmetries of the resulting pattern
- a parallelogram or 'overlay' that shows the background structure of the tessellation
- the vectors that are used to move the 'units' to create a tessellation
different tessellations of the same pentomino
moving along the lines of the tessellation between the corners of the parallelogram - what do you notice?