Exercises through describe a pattern to be used to fill the plane by translation in the two directions given by the specified vectors. Answer these questions in each case. A square with horizontal and vertical edges using translation directions given by vectors (1, 0) and (0, 1).
a. Does the symmetry group contain any rotations? If so, through what possible angles θ where 0<θ < 180°?
b. Does the symmetry group contain any reflections?
c. Does the symmetry group contain any nontrivial glide reflections?
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