Symmetry Group for Border Pattern Exploration

Objective: Understanding the border pattern symmetry groups.

1. List the elements of the symmetry group pma2. Is there a cyclic subgroup? What other subgroups are there?
2. List the elements of the symmetry group p1m1. Is there a cyclic subgroup? What other subgroups are there?
3. List the elements of the symmetry group pm11. Is there a cyclic subgroup? What other subgroups are there?
4. List the elements of the symmetry group p1a1. Is there a cyclic subgroup? What other subgroups are there?
5. List the elements of the symmetry group p112. Is there a cyclic subgroup? What other subgroups are there?
6. List the elements of the symmetry group p111. Is there a cyclic subgroup? What other subgroups are there?

Handin: A sheet with answers to all questions.