ABSTRACT
Describe symmetry operations-identity, mirror, and • n-fold rotations in two dimensions.
Derive a matrix for each symmetry operation.•
Prove that only one-, two-, three-, four-, and sixfold rotations are possible in peri-• odic patterns.
Describe symmetry operations-identity, mirror, and • n-fold rotations in two dimensions.
Derive a matrix for each symmetry operation.•
Prove that only one-, two-, three-, four-, and sixfold rotations are possible in peri-• odic patterns.