A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. For example, any triangle is convex. But this...
A polygon is convex if it has no two points that can be used to define a line segment that falls outside of that polygon. Another way to put it is: a convex polygon has all vertices pointing 'out'....
A convex polygon is one with no reflex angles (angles that measure more than 180 degrees when viewed from inside the polygon). More generally a convex set is on where a straight line between any two...