Quiz

When parallelograms are joined to form a figure, we will have parallel sides, right? Moreover, the sides will be pairwise parallel. Because, for any side of a parallelogram, the following is true: either it is parallel to the opposite side, and both are external sides of the polygon; or one of them is not an external side, but it is adjacent to a side of another parallelogram, so the "parallelism" is passed on to the external side.
In a 111-sided polygon, there is an odd number of sides, so at least one side will not be parallel to any other.

Oh, you can attach several parallelograms to one side...