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Making the world better, one answer at a time. A static shape has a fixed relationship between all of its vertexes. A dynamic shape can vary the position of at least one of its vertexes in relation to the others.
However, if any line segment falls outside the shape or set, then it is regarded to be non-convex. A solid cube is an example of convex, whereas a crescent shape is non-convex (concave). The concept of convex and non-convex has also been extended to functions and variables to solve the related problems.