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A rhombic octagon. An ordinary regular octagon does have perpendicular sides. They do not meet in the outline of the octagon because they are alternate, but they are still perpendicular. However, in the same way that a rhombus is a distorted square, a rhombic octagon can have 4 pairs of parallel sides but no perpendicular ones.

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Q: What has 4 sets of parallel sides and no perpendicular sides?
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