the geometrical properties you can actually delve deeper into the what the structure of these VQ tiles and show that that the part of the partition of each of a single layer right a single layers input space in terms of the output is something called it's actually not a Voronoi diagram it's something called power diagram question anybody here heard of power diagrams okay fantastic so it's a generalization of a Voronoi diagram now instead of just having a centroid it has a centroid and a radius all right so it's a it's a mild