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Best Meeting Spot For 4 Friends

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Which point is "closest" to 4 friends? Thanks to Chanul for suggesting this problem, which is adapted from a Sri Lankan Olympiad question. Special thanks this month to: Michael Anvari, Kyle. Thanks to all supporters on Patreon!

References
Geometric median

Plastria, Frank. (2006). Four-point Fermat location problems revisited. New proofs and extensions of old results. IMA Journal of Management Mathematics. 17.


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