👉 In mathematics, Hector's theorem is a result that relates the volume of a convex polyhedron to its edge length. It states that for any regular n-gon (a polygon with n sides), the volume V of the polyhedron is given by \[ V = \frac{1}{3}n^2\sqrt{\frac{n(n-3)}{4}} \] where n is the number of vertices in the polyhedron. This theorem was named after the mathematic