No, a star is not considered a polygon in the strict mathematical sense. A polygon is defined as a two-dimensional shape that consists of straight line segments connected to form a closed figure. Common examples of polygons include triangles, squares, and pentagons.
While a star shape may appear to have straight edges, it often has points that protrude outward and may not form a closed figure by the standard polygonal definition without self-intersecting. Depending on how you define a star, it can either be a complex, non-simple polygon (if it intersects itself) or a combination of polygons. The most well-known star shape, the five-pointed star, is often drawn with intersecting lines, which violates the rules of simple polygons. Thus, while it resembles a polygon, it does not fit the classic definition.