This worksheet is intended to help you discover and generalize a rule for finding the underlying polygonal tessellations that M.C. Escher used to create the non-polygonal Pegasus tessellation. It can also be used to explore the relationship between the symmetries of the tessellation and the transformations used to create the pegasus tile.

## Investigation Questions:

1) What types of symmetry can be identified in Escher's Dog Tessellation? (Explain your answer)

2) What is the underlying polygonal grid? (Be as descriptive as possible in your explanation)

3) What transformations were used to create the dog tile? (Be as descriptive as possible in your explanation)