# Fermat Point for Many Points

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The Fermat point (or geometric median) of a set of sample points is the point minimizing the sum of the distances to them. This generalizes the concept of median, which has the property of minimizing the sum of distances for one-dimensional data. Finding the Fermat point is a standard problem in facility location, where it models the problem of locating a facility to minimize the cost of transportation.

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Contributed by: Jaime Rangel-Mondragon (July 2012)

Open content licensed under CC BY-NC-SA

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"Fermat Point for Many Points"

http://demonstrations.wolfram.com/FermatPointForManyPoints/

Wolfram Demonstrations Project

Published: July 30 2012