the united states of voronoi

Named after the mathematician who defined their properties, Georgy Feodosevich Voronoy (*1868 – †1908), a Voronoi diagram triangulates and parses cells or regions (previously) by their spatial affinity to a given seed or site.
Redrawing borders of the continental states, as Jason Davies has done, so that each point within those bounds is geographically closer to its own capital city than the capital of any adjacent polity yields an interesting distribution that somehow aligns with the character of the capitol not being necessarily the largest city and representative of the population as a whole and preserves (with notable distortions) to an extent the shape of the states on the map.