How to measure legislative district compactness if you only know it when you see it
To deter gerrymandering, many US state constitutions require legislative districts to be geographically "compact" (and a similar requirement holds explicitly or implicitly for numerous political jurisdictions around the world). Yet, the law offers few precise definitions other than "you know it when you see it," which effectively implies a common understanding of the concept. In contrast, academics have shown that compactness has multiple dimensions and have generated many conflicting measures.