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  • Convex: any line drawn through the polygon (and not tangent to an edge or corner) meets its boundary exactly twice.
  • Non-convex: a line may be found which meets its boundary more than twice.
  • Simple: the boundary of the polygon does not cross itself. All convex polygons are simple.
  • Concave: Non-convex and simple.
  • Star-shaped: the whole interior is visible from a single point, without crossing any edge. The polygon must be simple, and may be convex or concave.

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