We dive into the math of fair division—from proportionality and envy-freeness to equitability and exactness. Through real-world analogies (land, broadcast time, inventions) and classic procedures like moving-knife methods, we explore how to slice the metaphorical cake so everyone ends up happy or at least without envy. We’ll also touch on truthfulness, efficiency, and the surprising peak at Weller's theorem, where fair partitions crystallize.

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