Taxi Cab Geometry: Rethinking Distance on the City Grid

In this episode, we unpack taxi cab geometry—the Manhattan-like distance that governs city-block travel and grid-based spaces. We'll compare it to Euclidean distance, explore why circles turn into diamonds, how pi becomes 4, and why there can be many shortest routes between two points. We'll discuss real-world echoes in city planning, video games, and algorithms, and welcome a Fields Medal–winning mathematician to guide the journey through this quirky, non-Euclidean world.

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