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 Aug 2024

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Monopoly is not played on a cartesian plane. It's played on a directed circular graph. Therefore, it is inappropriate to use the Euclidean distance metric to compare the distances between places on the board. We must instead use minimum path lengths. Example: If we used Euclidean distance, then you would have to agree that the distance between, say, Go and Jail is equal to the distance between the Short Line and the Pennsylvania Railroad. Clearly, this is not the intention. In your example, the "nearest railroad" would be the railroad square having the shortest path from wherever you stand. With the game board representing a directed graph, there are no "backwards" paths. Thus, the distance from the pink Chance square to the Reading railroad is not 2. It's 38.

 Mar 2021

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