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The United States electoral system is facing an unprecedented amount of pressure as distrust amount the voting population rises. An area of interest for us in this work is the redistricting mechanism. Rules inspired by ideas in mathematics are being used to combat partisan gerrymandering. In this work, we explore the relationship between three rules regarding Equal population districts, Compactness, and efficiency gap. Combining these rules leads to an idea of an impossibility theorem for partisan gerrymandering, which states that drawing maps that can satisfy all three rules and allow for a minority party to win becomes impossible.
Saeedi, Mahdi and Zerr, Ryan, "Exploring an Impossibility Theorem for Gerrymandering" (2022). Arts & Sciences Undergraduate Showcase. 10.