Partisan gerrymandering versus geographic compactness examines the relationship between partisan fairness and district shape. It discusses how gerrymandering has traditionally been detected by analyzing district shape and compactness. However, the document notes that voting results and partisan outcomes may provide more relevant information for detecting gerrymandering than just shape alone. The author presents research questions on whether partisan unfairness can be achieved with compact districts and whether there is always a choice of compact districts that exhibit partisan fairness.