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The video tutorial introduces the concept of curves, explaining how connecting two points can form either a straight line or a curve. It distinguishes between open and closed curves, with closed curves starting and ending at the same point. The video further categorizes closed curves into simple and non-simple, based on whether they intersect themselves. Finally, it explains that polygons are simple closed curves made of straight line segments, but not all simple closed curves are polygons.

What new insight or understanding did you gain from this video?