What is Convex set?
[[Image:Convex polygon illustration1.svg|right|thumb|A convex set]] [[Image:Convex polygon illustration2.svg|right|thumb|A non-convex set]] In [[Euclidean geometry|Euclidean space]], a [[wikt:region|region]] is a '''convex set''' if the following is true. For any two points inside the region, a straight line [[wikt:segment|segment]] can be drawn. If every point on that segment is inside the region, then the region is convex. The point is that a convex [[curve]] forms the boundary of a convex set. So, any shape which is [[concave]], or has a hollow, cannot be a convex set. ==Related pages== * [[Convex function]] {{Math-stub}} [[Category:Geometry]]