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 as in Exercise 31 with the letter L at its center 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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