Suppose that I have a closed and convex polyhedron given by the following vertices: $ (0.5, 0.5, 0), (0.25, 0.5, 0.25), (0.75, 0, 0.25), (0.75, 0.25, 0)$ Unless I’m wrong, the barycentre (which is the geometrical centroid) shall be computed by averaging the the vertices, which in this case yields the following vector: $ c=(9/16,5/16,1/8)$Read more