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Suppose our symmetry group for the strip has a reflection.
Think about its mirror line. Can its mirror line be
- Parallel to the x-axis?
- If so, with what
y-value? Remember, the symmetry has to take the strip
- Parallel to the y-axis?
- With what x value?
- Not parallel to one of the coordinate axes?
- What happens to points near the intersection of the
mirror line with the boundary lines
of the strip.