# Symmetry Group for Border Pattern Exploration

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**Objective:**
Understanding the border pattern symmetry groups.

- List the elements of the symmetry group
*pma2*. Is there a cyclic subgroup? What other subgroups are there? - List the elements of the symmetry group
*p1m1*. Is there a cyclic subgroup? What other subgroups are there? - List the elements of the symmetry group
*pm11*. Is there a cyclic subgroup? What other subgroups are there? - List the elements of the symmetry group
*p1a1*. Is there a cyclic subgroup? What other subgroups are there? - List the elements of the symmetry group
*p112*. Is there a cyclic subgroup? What other subgroups are there? - 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.