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There are a number of different, and sometimes overlapping, classifications.

Polygons may be convex or concave. In a convex polygon, any two points inside the polygon are joined by a straight line that is wholly inside the polygon. In a concave polygon there are at least two points such that the line joining them intersects its boundary.

Polygons can by equilateral (all sides of equal length), or equiangular (all angles of equal measure) or regular (all sides equal AND all angles equal). Note that in general (unlike for triangles) equilateral and equiangular are not the same.

Polygons can be classified according to the number of sides/angles.

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