For any convex polygon W with area 1, let us denote by f(W) the area of the convex polygon whose vertices are the centers of all sides of the polygon W. For each natural number n≥3, determine the lower limit and the upper limit of the set of numbers f(W) when W runs through the set of all n convex angles with area 1. geometrycombinatoricscombinatorial geometryareasconvex polygon