Voronoi tiles and we'll get into these as we go so one of the yeah key ideas is linking these modern deep net ideas back to more classical signal processing ideas so let's just do a toy example so that you can visualize what goes on in one of these vector quantization partitions of the input spaces so let's just consider a toy example a three-layer net we go from an input space it's two-dimensional we're gonna four classes in the two dimensional input 2d just so we can visualize can't visualize really anything beyond 3d we