Structure on mesh

Can someone please help me to get a right voronoi structure in this file? I tried several things but they didn’t succeed. I tried also EXOSKELETON, but that was a big chaos. I need a voronoi that doesn’t begin from the edge but has some spacing on the edge. I wanted to do surface morph but it’s a mesh so I can’t do that. Any help is welcome!!! (53.2 KB)